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40015410304 = 2723109124699
BaseRepresentation
bin100101010001000110…
…101011010010000000
310211021202001110110111
4211101012223102000
51123422421112204
630214405041104
72614422242542
oct452106532200
9124252043414
1040015410304
1115a74724031
1279090b6194
133a0931989c
141d1865d692
15109302cd04
hex9511ab480

40015410304 has 64 divisors (see below), whose sum is σ = 83948040000. Its totient is φ = 18962076672.

The previous prime is 40015410293. The next prime is 40015410341. The reversal of 40015410304 is 40301451004.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 258547 + ... + 383245.

It is an arithmetic number, because the mean of its divisors is an integer number (1311688125).

Almost surely, 240015410304 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 40015410304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41974020000).

40015410304 is an abundant number, since it is smaller than the sum of its proper divisors (43932629696).

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

40015410304 is a wasteful number, since it uses less digits than its factorization.

40015410304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124845 (or 124833 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 40015410304 its reverse (40301451004), we get a palindrome (80316861308).

The spelling of 40015410304 in words is "forty billion, fifteen million, four hundred ten thousand, three hundred four".

Divisors: 1 2 4 8 16 23 32 46 64 92 109 128 184 218 368 436 736 872 1472 1744 2507 2944 3488 5014 6976 10028 13952 20056 40112 80224 124699 160448 249398 320896 498796 997592 1995184 2868077 3990368 5736154 7980736 11472308 13592191 15961472 22944616 27184382 45889232 54368764 91778464 108737528 183556928 217475056 312620393 367113856 434950112 625240786 869900224 1250481572 1739800448 2500963144 5001926288 10003852576 20007705152 40015410304