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241081000000 = 26564912
BaseRepresentation
bin1110000010000110001…
…1000010000001000000
3212001021100102201012221
43200201203002001000
512422213214000000
6302430122300424
723263132455211
oct3404143020100
9761240381187
10241081000000
1193272a37575
123a881657714
131997032c1b9
14b950083408
15640ecdc61a
hex38218c2040

241081000000 has 147 divisors (see below), whose sum is σ = 599206607401. Its totient is φ = 96236000000.

The previous prime is 241080999997. The next prime is 241081000033. The reversal of 241081000000 is 180142.

It is a happy number.

The square root of 241081000000 is 491000.

It is a perfect power (a square), and thus also a powerful number.

241081000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 211210099776 + 29870900224 = 459576^2 + 172832^2 .

It is a super-2 number, since 2×2410810000002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 490999755 + ... + 491000245.

Almost surely, 2241081000000 is an apocalyptic number.

241081000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

241081000000 is the 491000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241081000000

241081000000 is an abundant number, since it is smaller than the sum of its proper divisors (358125607401).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

241081000000 is an frugal number, since it uses more digits than its factorization.

241081000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Multiplying 241081000000 by its sum of digits (16), we get a square (3857296000000 = 19640002).

241081000000 divided by its sum of digits (16) gives a square (15067562500 = 1227502).

Multiplying 241081000000 by its product of nonzero digits (64), we get a square (15429184000000 = 39280002).

241081000000 divided by its product of nonzero digits (64) gives a square (3766890625 = 613752).

Adding to 241081000000 its reverse (180142), we get a palindrome (241081180142).

The spelling of 241081000000 in words is "two hundred forty-one billion, eighty-one million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 491 500 625 800 982 1000 1250 1600 1964 2000 2455 2500 3125 3928 4000 4910 5000 6250 7856 8000 9820 10000 12275 12500 15625 15712 19640 20000 24550 25000 31250 31424 39280 40000 49100 50000 61375 62500 78560 98200 100000 122750 125000 157120 196400 200000 241081 245500 250000 306875 392800 482162 491000 500000 613750 785600 964324 982000 1000000 1205405 1227500 1534375 1928648 1964000 2410810 2455000 3068750 3857296 3928000 4821620 4910000 6027025 6137500 7671875 7714592 9643240 9820000 12054050 12275000 15343750 15429184 19286480 19640000 24108100 24550000 30135125 30687500 38572960 48216200 49100000 60270250 61375000 77145920 96432400 98200000 120540500 122750000 150675625 192864800 241081000 245500000 301351250 385729600 482162000 491000000 602702500 753378125 964324000 1205405000 1506756250 1928648000 2410810000 3013512500 3766890625 4821620000 6027025000 7533781250 9643240000 12054050000 15067562500 24108100000 30135125000 48216200000 60270250000 120540500000 241081000000