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42100015404 = 223411134571657
BaseRepresentation
bin100111001101010110…
…110100000100101100
311000200000121101001210
4213031112310010230
51142210100443104
631201313234420
73020164140456
oct471526640454
9130600541053
1042100015404
11169443a7767
1281ab262a10
133c7c177425
14207545d2d6
151166053989
hex9cd5b412c

42100015404 has 96 divisors (see below), whose sum is σ = 101803375296. Its totient is φ = 13532037120.

The previous prime is 42100015387. The next prime is 42100015427. The reversal of 42100015404 is 40451000124.

It is a happy number.

It is a super-2 number, since 2×421000154042 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25406544 + ... + 25408200.

It is an arithmetic number, because the mean of its divisors is an integer number (1060451826).

Almost surely, 242100015404 is an apocalyptic number.

It is an amenable number.

42100015404 is an abundant number, since it is smaller than the sum of its proper divisors (59703359892).

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

42100015404 is a wasteful number, since it uses less digits than its factorization.

42100015404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 42100015404 its reverse (40451000124), we get a palindrome (82551015528).

The spelling of 42100015404 in words is "forty-two billion, one hundred million, fifteen thousand, four hundred four".

Divisors: 1 2 3 4 6 12 41 82 113 123 164 226 246 339 452 457 492 678 914 1356 1371 1657 1828 2742 3314 4633 4971 5484 6628 9266 9942 13899 18532 18737 19884 27798 37474 51641 55596 56211 67937 74948 103282 112422 135874 154923 187241 203811 206564 224844 271748 309846 374482 407622 561723 619692 748964 757249 815244 1123446 1514498 2117281 2246892 2271747 3028996 4234562 4543494 6351843 7676881 8469124 9086988 12703686 15353762 23030643 25407372 30707524 31047209 46061286 62094418 85569137 92122572 93141627 124188836 171138274 186283254 256707411 342276548 372566508 513414822 1026829644 3508334617 7016669234 10525003851 14033338468 21050007702 42100015404