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40140734315424 = 25329101142756111
BaseRepresentation
bin10010010000001111111100…
…01101011011101110100000
312021010102020210100222110020
421020013332031123232200
520230131210441043144
6221212222045033440
711312033550015231
oct1110077615335640
9167112223328406
1040140734315424
1111876654066266
124603662855880
131952341322112
149cab71455088
1549924513d419
hex2481fe35bba0

40140734315424 has 96 divisors (see below), whose sum is σ = 110082093085440. Its totient is φ = 12790947456000.

The previous prime is 40140734315417. The next prime is 40140734315491. The reversal of 40140734315424 is 42451343704104.

40140734315424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×401407343154242 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71096872 + ... + 71659239.

It is an arithmetic number, because the mean of its divisors is an integer number (1146688469640).

Almost surely, 240140734315424 is an apocalyptic number.

It is an amenable number.

40140734315424 is an abundant number, since it is smaller than the sum of its proper divisors (69941358770016).

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

40140734315424 is a wasteful number, since it uses less digits than its factorization.

40140734315424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142756254 (or 142756246 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 40140734315424 in words is "forty trillion, one hundred forty billion, seven hundred thirty-four million, three hundred fifteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 101 116 174 202 232 303 348 404 464 606 696 808 928 1212 1392 1616 2424 2784 2929 3232 4848 5858 8787 9696 11716 17574 23432 35148 46864 70296 93728 140592 281184 142756111 285512222 428268333 571024444 856536666 1142048888 1713073332 2284097776 3426146664 4139927219 4568195552 6852293328 8279854438 12419781657 13704586656 14418367211 16559708876 24839563314 28836734422 33119417752 43255101633 49679126628 57673468844 66238835504 86510203266 99358253256 115346937688 132477671008 173020406532 198716506512 230693875376 346040813064 397433013024 418132649119 461387750752 692081626128 836265298238 1254397947357 1384163252256 1672530596476 2508795894714 3345061192952 5017591789428 6690122385904 10035183578856 13380244771808 20070367157712 40140734315424