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40104516115152 = 2432278503584133
BaseRepresentation
bin10010001111001100011110…
…11011111101101011010000
312020222221202200102202220100
421013212033123331223100
520224033022111141102
6221143432123212400
711306312203261506
oct1107461733755320
9166887680382810
1040104516115152
1111862258908345
1245b8635377100
13194babb903a98
149c90d723c676
15498325679a1c
hex24798f6fdad0

40104516115152 has 30 divisors (see below), whose sum is σ = 112236944406002. Its totient is φ = 13368172038336.

The previous prime is 40104516115141. The next prime is 40104516115217. The reversal of 40104516115152 is 25151161540104.

40104516115152 is a `hidden beast` number, since 4 + 0 + 1 + 0 + 451 + 6 + 1 + 151 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23326349829696 + 16778166285456 = 4829736^2 + 4096116^2 .

It is a super-2 number, since 2×401045161151522 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139251791923 + ... + 139251792210.

Almost surely, 240104516115152 is an apocalyptic number.

It is an amenable number.

40104516115152 is an abundant number, since it is smaller than the sum of its proper divisors (72132428290850).

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

40104516115152 is a wasteful number, since it uses less digits than its factorization.

40104516115152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278503584147 (or 278503584138 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

Adding to 40104516115152 its reverse (25151161540104), we get a palindrome (65255677655256).

The spelling of 40104516115152 in words is "forty trillion, one hundred four billion, five hundred sixteen million, one hundred fifteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 278503584133 557007168266 835510752399 1114014336532 1671021504798 2228028673064 2506532257197 3342043009596 4456057346128 5013064514394 6684086019192 10026129028788 13368172038384 20052258057576 40104516115152