Search a number
-
+
40697507136 = 263111317223223
BaseRepresentation
bin100101111001110000…
…101010110101000000
310220001021112120102010
4211321300222311000
51131322030212021
630410212452520
72640344050206
oct457160526500
9126037476363
1040697507136
1116294755520
127a7961a140
133ab772b090
141d81097076
1510d2d65976
hex979c2ad40

40697507136 has 672 divisors, whose sum is σ = 140854468608. Its totient is φ = 10202480640.

The previous prime is 40697507117. The next prime is 40697507161. The reversal of 40697507136 is 63170579604.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 182499921 + ... + 182500143.

It is an arithmetic number, because the mean of its divisors is an integer number (209604864).

Almost surely, 240697507136 is an apocalyptic number.

40697507136 is a gapful number since it is divisible by the number (46) 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 40697507136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70427234304).

40697507136 is an abundant number, since it is smaller than the sum of its proper divisors (100156961472).

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

40697507136 is a wasteful number, since it uses less digits than its factorization.

40697507136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The spelling of 40697507136 in words is "forty billion, six hundred ninety-seven million, five hundred seven thousand, one hundred thirty-six".