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315453054646340 = 225131724198204081
BaseRepresentation
bin100011110111001110010001…
…1010000111111100001000100
31112100221000110202112121201222
41013232130203100333201010
5312321340323442140330
63034525044355135512
7123305505523635002
oct10756344320774104
91470830422477658
10315453054646340
119157098655a456
122b468ab98a4598
131070313180b090
1457c801b78da72
1526709d04ec0e5
hex11ee72343f844

315453054646340 has 72 divisors (see below), whose sum is σ = 757843008066312. Its totient is φ = 109623504936960.

The previous prime is 315453054646339. The next prime is 315453054646363. The reversal of 315453054646340 is 43646450354513.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 117254636382724 + 198198418263616 = 10828418^2 + 14078296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2099026901 + ... + 2099177180.

Almost surely, 2315453054646340 is an apocalyptic number.

It is an amenable number.

315453054646340 is an abundant number, since it is smaller than the sum of its proper divisors (442389953419972).

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

315453054646340 is a wasteful number, since it uses less digits than its factorization.

315453054646340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4198204137 (or 4198204118 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 53.

The spelling of 315453054646340 in words is "three hundred fifteen trillion, four hundred fifty-three billion, fifty-four million, six hundred forty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 289 340 442 578 884 1105 1156 1445 2210 2890 3757 4420 5780 7514 15028 18785 37570 75140 4198204081 8396408162 16792816324 20991020405 41982040810 54576653053 71369469377 83964081620 109153306106 142738938754 218306612212 272883265265 285477877508 356847346885 545766530530 713694693770 927803101901 1091533061060 1213280979409 1427389387540 1855606203802 2426561958818 3711212407604 4639015509505 4853123917636 6066404897045 9278031019010 12132809794090 15772652732317 18556062038020 24265619588180 31545305464634 63090610929268 78863263661585 157726527323170 315453054646340