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314426620344 = 23367795124593
BaseRepresentation
bin1001001001101010100…
…10010111100110111000
31010001120221011021102010
410210311102113212320
520122421203322334
6400240125405520
731500533114064
oct4446522274670
91101527137363
10314426620344
111113906a2731
1250b30a098a0
132385b93c955
141130b14caa4
1582a3eb30e9
hex49354979b8

314426620344 has 64 divisors (see below), whose sum is σ = 797931671040. Its totient is φ = 103227379200.

The previous prime is 314426620331. The next prime is 314426620393. The reversal of 314426620344 is 443026624413.

It is a super-3 number, since 3×3144266203443 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12772912 + ... + 12797504.

It is an arithmetic number, because the mean of its divisors is an integer number (12467682360).

Almost surely, 2314426620344 is an apocalyptic number.

It is an amenable number.

314426620344 is an abundant number, since it is smaller than the sum of its proper divisors (483505050696).

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

314426620344 is a wasteful number, since it uses less digits than its factorization.

314426620344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32620 (or 32616 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 39.

The spelling of 314426620344 in words is "three hundred fourteen billion, four hundred twenty-six million, six hundred twenty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 67 134 201 268 402 536 804 1608 7951 15902 23853 24593 31804 47706 49186 63608 73779 95412 98372 147558 190824 196744 295116 532717 590232 1065434 1598151 1647731 2130868 3196302 3295462 4261736 4943193 6392604 6590924 9886386 12785208 13181848 19772772 39545544 195538943 391077886 586616829 782155772 1173233658 1564311544 2346467316 4692934632 13101109181 26202218362 39303327543 52404436724 78606655086 104808873448 157213310172 314426620344