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40154215680 = 2832531229491
BaseRepresentation
bin100101011001011000…
…001011010100000000
310211122102020111122100
4211121120023110000
51124213434400210
630240244110400
72621026126125
oct453130132400
9124572214570
1040154215680
111603600a617
127947695400
133a2bcc9247
141d2cc7274c
1510a02ea5c0
hex95960b500

40154215680 has 432 divisors, whose sum is σ = 144330600960. Its totient is φ = 10296115200.

The previous prime is 40154215637. The next prime is 40154215727. The reversal of 40154215680 is 8651245104.

It is a happy number.

40154215680 is a `hidden beast` number, since 40 + 1 + 54 + 2 + 1 + 568 + 0 = 666.

It is a super-2 number, since 2×401542156802 (a number of 22 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81780235 + ... + 81780725.

Almost surely, 240154215680 is an apocalyptic number.

40154215680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40154215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72165300480).

40154215680 is an abundant number, since it is smaller than the sum of its proper divisors (104176385280).

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

40154215680 is a wasteful number, since it uses less digits than its factorization.

40154215680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 40154215680 in words is "forty billion, one hundred fifty-four million, two hundred fifteen thousand, six hundred eighty".