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40248795136 = 213113171409
BaseRepresentation
bin100101011111000000…
…111110000000000000
310211220000012122021011
4211133000332000000
51124412142421021
630253503210304
72623255054024
oct453700760000
9124800178234
1040248795136
1116084439560
1279732a6994
133a45792714
141d3b652384
1510a877dde1
hex95f03e000

40248795136 has 112 divisors (see below), whose sum is σ = 88149714480. Its totient is φ = 18224250880.

The previous prime is 40248795107. The next prime is 40248795143. The reversal of 40248795136 is 63159784204.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 40248795136.

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 7 ways as a sum of consecutive naturals, for example, 28564800 + ... + 28566208.

It is a 1-persistent number, because it is pandigital, but 2⋅40248795136 = 80497590272 is not.

Almost surely, 240248795136 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 40248795136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44074857240).

40248795136 is an abundant number, since it is smaller than the sum of its proper divisors (47900919344).

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

40248795136 is a wasteful number, since it uses less digits than its factorization.

40248795136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 40248795136 in words is "forty billion, two hundred forty-eight million, seven hundred ninety-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 317 352 512 634 704 1024 1268 1408 1409 2048 2536 2816 2818 3487 4096 5072 5632 5636 6974 8192 10144 11264 11272 13948 15499 20288 22528 22544 27896 30998 40576 45056 45088 55792 61996 81152 90112 90176 111584 123992 162304 180352 223168 247984 324608 360704 446336 446653 495968 649216 721408 892672 893306 991936 1298432 1442816 1785344 1786612 1983872 2596864 2885632 3570688 3573224 3967744 4913183 5771264 7141376 7146448 7935488 9826366 11542528 14282752 14292896 15870976 19652732 28565504 28585792 31741952 39305464 57171584 63483904 78610928 114343168 126967808 157221856 228686336 314443712 457372672 628887424 914745344 1257774848 1829490688 2515549696 3658981376 5031099392 10062198784 20124397568 40248795136