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40403111291136 = 28321167197269449
BaseRepresentation
bin10010010111111000101010…
…00110001010100100000000
312022001111111021221100101100
421023330111012022210000
520243431032442304021
6221532533314134400
711340012522350256
oct1113742506124400
9168044437840340
1040403111291136
1111967955020560
124646488281400
131970cc6685279
149d97419745d6
154a0e9e83e626
hex24bf1518a900

40403111291136 has 864 divisors, whose sum is σ = 130405491216000. Its totient is φ = 11928175902720.

The previous prime is 40403111291129. The next prime is 40403111291161. The reversal of 40403111291136 is 63119211130404.

It is a happy number.

40403111291136 is a `hidden beast` number, since 4 + 0 + 40 + 311 + 1 + 291 + 13 + 6 = 666.

It is a super-2 number, since 2×404031112911362 (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 self number, because there is not a number n which added to its sum of digits gives 40403111291136.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89984657440 + ... + 89984657888.

It is an arithmetic number, because the mean of its divisors is an integer number (150932281500).

Almost surely, 240403111291136 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 40403111291136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65202745608000).

40403111291136 is an abundant number, since it is smaller than the sum of its proper divisors (90002379924864).

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

40403111291136 is a wasteful number, since it uses less digits than its factorization.

40403111291136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 40403111291136 in words is "forty trillion, four hundred three billion, one hundred eleven million, two hundred ninety-one thousand, one hundred thirty-six".