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241242023000 = 23531147466619
BaseRepresentation
bin1110000010101100100…
…1010010010001011000
3212001200120102112020202
43200223021102101120
512423030424214000
6302454113441332
723300126235056
oct3405311222130
9761616375222
10241242023000
1193345918530
123a907570248
13199977ba494
14b9675db1d6
15641dee7dd5
hex382b252458

241242023000 has 128 divisors (see below), whose sum is σ = 628929100800. Its totient is φ = 85857712000.

The previous prime is 241242022997. The next prime is 241242023017. The reversal of 241242023000 is 320242142.

It is a super-2 number, since 2×2412420230002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283691 + ... + 750309.

It is an arithmetic number, because the mean of its divisors is an integer number (4913508600).

Almost surely, 2241242023000 is an apocalyptic number.

241242023000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241242023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314464550400).

241242023000 is an abundant number, since it is smaller than the sum of its proper divisors (387687077800).

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

241242023000 is a wasteful number, since it uses less digits than its factorization.

241242023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466698 (or 466684 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 241242023000 its reverse (320242142), we get a palindrome (241562265142).

The spelling of 241242023000 in words is "two hundred forty-one billion, two hundred forty-two million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 47 50 55 88 94 100 110 125 188 200 220 235 250 275 376 440 470 500 517 550 940 1000 1034 1100 1175 1375 1880 2068 2200 2350 2585 2750 4136 4700 5170 5500 5875 9400 10340 11000 11750 12925 20680 23500 25850 47000 51700 64625 103400 129250 258500 466619 517000 933238 1866476 2333095 3732952 4666190 5132809 9332380 10265618 11665475 18664760 20531236 21931093 23330950 25664045 41062472 43862186 46661900 51328090 58327375 87724372 93323800 102656180 109655465 116654750 128320225 175448744 205312360 219310930 233309500 241242023 256640450 438621860 466619000 482484046 513280900 548277325 641601125 877243720 964968092 1026561800 1096554650 1206210115 1283202250 1929936184 2193109300 2412420230 2566404500 2741386625 4386218600 4824840460 5132809000 5482773250 6031050575 9649680920 10965546500 12062101150 21931093000 24124202300 30155252875 48248404600 60310505750 120621011500 241242023000