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314639258453920 = 2551726804482233
BaseRepresentation
bin100011110001010011010100…
…1001110111000011110100000
31112021001012220220102200121201
41013202212221032320132200
5312220022200131011140
63033103140242330544
7123162636065300431
oct10742465116703640
91467035826380551
10314639258453920
119128783a850144
122b357243059a54
131067447c540c4a
14579a89b045488
152659750e3449a
hex11e29a93b87a0

314639258453920 has 72 divisors (see below), whose sum is σ = 789632945326764. Its totient is φ = 118452426694656.

The previous prime is 314639258453917. The next prime is 314639258453929. The reversal of 314639258453920 is 29354852936413.

It can be written as a sum of positive squares in 6 ways, for example, as 186672213142416 + 127967045311504 = 13662804^2 + 11312252^2 .

It is not an unprimeable number, because it can be changed into a prime (314639258453929) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3402194877 + ... + 3402287356.

Almost surely, 2314639258453920 is an apocalyptic number.

It is an amenable number.

314639258453920 is an abundant number, since it is smaller than the sum of its proper divisors (474993686872844).

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

314639258453920 is a wasteful number, since it uses less digits than its factorization.

314639258453920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6804482282 (or 6804482257 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 64.

The spelling of 314639258453920 in words is "three hundred fourteen trillion, six hundred thirty-nine billion, two hundred fifty-eight million, four hundred fifty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 289 340 544 578 680 1156 1360 1445 2312 2720 2890 4624 5780 9248 11560 23120 46240 6804482233 13608964466 27217928932 34022411165 54435857864 68044822330 108871715728 115676197961 136089644660 217743431456 231352395922 272179289320 462704791844 544358578640 578380989805 925409583688 1088717157280 1156761979610 1850819167376 1966495365337 2313523959220 3701638334752 3932990730674 4627047918440 7865981461348 9254095836880 9832476826685 15731962922696 18508191673760 19664953653370 31463925845392 39329907306740 62927851690784 78659814613480 157319629226960 314639258453920