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3141063640 = 23511131015437
BaseRepresentation
bin1011101100111000…
…1101001111011000
322002220110120021101
42323032031033120
522413103014030
61235403521144
7140560412641
oct27316151730
98086416241
103141063640
111372059670
12737b291b4
133b09a4a50
1421b2466c8
15135b5a7ca
hexbb38d3d8

3141063640 has 128 divisors (see below), whose sum is σ = 8386701120. Its totient is φ = 1043712000.

The previous prime is 3141063617. The next prime is 3141063647. The reversal of 3141063640 is 463601413.

It is a junction number, because it is equal to n+sod(n) for n = 3141063599 and 3141063608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141063647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 575002 + ... + 580438.

Almost surely, 23141063640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3141063640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193350560).

3141063640 is an abundant number, since it is smaller than the sum of its proper divisors (5245637480).

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

3141063640 is a wasteful number, since it uses less digits than its factorization.

3141063640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5573 (or 5569 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 3141063640 is about 56045.1928357821. The cubic root of 3141063640 is about 1464.5096752794.

The spelling of 3141063640 in words is "three billion, one hundred forty-one million, sixty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 101 104 110 130 143 202 220 260 286 404 440 505 520 572 715 808 1010 1111 1144 1313 1430 2020 2222 2626 2860 4040 4444 5252 5437 5555 5720 6565 8888 10504 10874 11110 13130 14443 21748 22220 26260 27185 28886 43496 44440 52520 54370 57772 59807 70681 72215 108740 115544 119614 141362 144430 217480 239228 282724 288860 299035 353405 478456 549137 565448 577720 598070 706810 777491 1098274 1196140 1413620 1554982 2196548 2392280 2745685 2827240 3109964 3887455 4393096 5491370 6040507 6219928 7138781 7774910 10982740 12081014 14277562 15549820 21965480 24162028 28555124 30202535 31099640 35693905 48324056 57110248 60405070 71387810 78526591 120810140 142775620 157053182 241620280 285551240 314106364 392632955 628212728 785265910 1570531820 3141063640