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40134356582331 = 311173710091916287
BaseRepresentation
bin10010010000000100000100…
…00100010011111110111011
312021002210210022112120101110
421020002002010103332323
520230030130241113311
6221205245140051403
711311416525125214
oct1110020204237673
9167083708476343
1040134356582331
1111873980a98a70
124602382993b63
131951865c0cc5b
149ca7283da40b
15498ec028e8a6
hex248082113fbb

40134356582331 has 64 divisors (see below), whose sum is σ = 63544723292160. Its totient is φ = 22252219637760.

The previous prime is 40134356582317. The next prime is 40134356582371. The reversal of 40134356582331 is 13328565343104.

It is not a de Polignac number, because 40134356582331 - 29 = 40134356581819 is a prime.

It is a super-2 number, since 2×401343565823312 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40134356582371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19985670 + ... + 21901956.

It is an arithmetic number, because the mean of its divisors is an integer number (992886301440).

Almost surely, 240134356582331 is an apocalyptic number.

40134356582331 is a deficient number, since it is larger than the sum of its proper divisors (23410366709829).

40134356582331 is a wasteful number, since it uses less digits than its factorization.

40134356582331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917364.

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 40134356582331 in words is "forty trillion, one hundred thirty-four billion, three hundred fifty-six million, five hundred eighty-two thousand, three hundred thirty-one".

Divisors: 1 3 11 17 33 37 51 111 187 407 561 629 1009 1221 1887 3027 6919 11099 17153 20757 33297 37333 51459 111999 188683 410663 566049 634661 1231989 1903983 1916287 5748861 6981271 20943813 21079157 32576879 63237471 70902619 97730637 212707857 358345669 779928809 1075037007 1205344523 1933533583 2339786427 3616033569 5800600749 13258789753 21268869413 32870070911 39776369259 63806608239 71540742571 98610212733 214622227713 361570780021 786948168281 1084712340063 1216192623707 2360844504843 3648577871121 13378118860777 40134356582331