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314432100140 = 225671627144223
BaseRepresentation
bin1001001001101011001…
…11010001011100101100
31010001121022110200021112
410210311213101130230
520122424104201030
6400240443051152
731500630516134
oct4446547213454
91101538420245
10314432100140
111113937a5794
1250b32810ab8
132385cb0ac32
141130bb77ac4
1582a46e6a95
hex49359d172c

314432100140 has 48 divisors (see below), whose sum is σ = 670579295232. Its totient is φ = 123818625216.

The previous prime is 314432100137. The next prime is 314432100187. The reversal of 314432100140 is 41001234413.

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, 2108069 + ... + 2252291.

It is an arithmetic number, because the mean of its divisors is an integer number (13970401984).

Almost surely, 2314432100140 is an apocalyptic number.

It is an amenable number.

314432100140 is an abundant number, since it is smaller than the sum of its proper divisors (356147195092).

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

314432100140 is a wasteful number, since it uses less digits than its factorization.

314432100140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145926 (or 145924 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 314432100140 its reverse (41001234413), we get a palindrome (355433334553).

The spelling of 314432100140 in words is "three hundred fourteen billion, four hundred thirty-two million, one hundred thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 67 134 268 335 670 1340 1627 3254 6508 8135 16270 32540 109009 144223 218018 288446 436036 545045 576892 721115 1090090 1442230 2180180 2884460 9662941 19325882 38651764 48314705 96629410 193258820 234650821 469301642 938603284 1173254105 2346508210 4693016420 15721605007 31443210014 62886420028 78608025035 157216050070 314432100140