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3712131144 = 2332412235639
BaseRepresentation
bin1101110101000010…
…1010000001001000
3100120201000210121200
43131100222001020
530100301144034
61412203504200
7160663410531
oct33520520110
910521023550
103712131144
111635446087
12877228060
134720b0507
1427301b688
1516ad60a99
hexdd42a048

3712131144 has 96 divisors (see below), whose sum is σ = 10346918400. Its totient is φ = 1201570560.

The previous prime is 3712131131. The next prime is 3712131151. The reversal of 3712131144 is 4411312173.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 655477 + ... + 661115.

It is an arithmetic number, because the mean of its divisors is an integer number (107780400).

Almost surely, 23712131144 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 3712131144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5173459200).

3712131144 is an abundant number, since it is smaller than the sum of its proper divisors (6634787256).

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

3712131144 is a wasteful number, since it uses less digits than its factorization.

3712131144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5915 (or 5908 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 3712131144 is about 60927.2610905824. The cubic root of 3712131144 is about 1548.3688903125.

It can be divided in two parts, 37121 and 31144, that added together give a triangular number (68265 = T369).

The spelling of 3712131144 in words is "three billion, seven hundred twelve million, one hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 223 246 328 369 446 492 669 738 892 984 1338 1476 1784 2007 2676 2952 4014 5352 5639 8028 9143 11278 16056 16917 18286 22556 27429 33834 36572 45112 50751 54858 67668 73144 82287 101502 109716 135336 164574 203004 219432 231199 329148 406008 462398 658296 693597 924796 1257497 1387194 1849592 2080791 2514994 2774388 3772491 4161582 5029988 5548776 7544982 8323164 10059976 11317473 15089964 16646328 22634946 30179928 45269892 51557377 90539784 103114754 154672131 206229508 309344262 412459016 464016393 618688524 928032786 1237377048 1856065572 3712131144