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42962589440 = 28542317933
BaseRepresentation
bin101000000000110001…
…010001011100000000
311002220010200200012022
4220000301101130000
51200441410330230
631423045221012
73050436661541
oct500061213400
9132803620168
1042962589440
1117247297371
1283b0101768
134088a98a74
142117c364c8
1511b6b3b1e5
hexa00c51700

42962589440 has 72 divisors (see below), whose sum is σ = 102946125408. Its totient is φ = 17178808320.

The previous prime is 42962589401. The next prime is 42962589443. The reversal of 42962589440 is 4498526924.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42962589443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5411714 + ... + 5419646.

Almost surely, 242962589440 is an apocalyptic number.

42962589440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42962589440 is an abundant number, since it is smaller than the sum of its proper divisors (59983535968).

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

42962589440 is an equidigital number, since it uses as much as digits as its factorization.

42962589440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12185 (or 12171 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 53.

The spelling of 42962589440 in words is "forty-two billion, nine hundred sixty-two million, five hundred eighty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 4231 7933 8462 15866 16924 21155 31732 33848 39665 42310 63464 67696 79330 84620 126928 135392 158660 169240 253856 270784 317320 338480 507712 541568 634640 676960 1015424 1083136 1269280 1353920 2030848 2538560 2707840 5077120 5415680 10154240 33564523 67129046 134258092 167822615 268516184 335645230 537032368 671290460 1074064736 1342580920 2148129472 2685161840 4296258944 5370323680 8592517888 10740647360 21481294720 42962589440