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314153453331146 = 2111329615411147759
BaseRepresentation
bin100011101101110001000110…
…0111111011010001011001010
31112012022202222022101110020202
41013123202030333122023022
5312134042233023044041
63032052034252452202
7123112560302006552
oct10733421477321312
91465282868343222
10314153453331146
119110a805495040
122b299063a7a062
131063a70b1b4710
145781173146162
15264bcbb5caa9b
hex11db88cfda2ca

314153453331146 has 128 divisors (see below), whose sum is σ = 583168224844800. Its totient is φ = 124949526912000.

The previous prime is 314153453331103. The next prime is 314153453331149. The reversal of 314153453331146 is 641133354351413.

It is a self number, because there is not a number n which added to its sum of digits gives 314153453331146.

It is not an unprimeable number, because it can be changed into a prime (314153453331149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 273136415 + ... + 274284173.

It is an arithmetic number, because the mean of its divisors is an integer number (4556001756600).

Almost surely, 2314153453331146 is an apocalyptic number.

314153453331146 is a deficient number, since it is larger than the sum of its proper divisors (269014771513654).

314153453331146 is a wasteful number, since it uses less digits than its factorization.

314153453331146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148416.

The product of its digits is 2332800, while the sum is 47.

The spelling of 314153453331146 in words is "three hundred fourteen trillion, one hundred fifty-three billion, four hundred fifty-three million, three hundred thirty-one thousand, one hundred forty-six".

Divisors: 1 2 11 13 22 26 29 58 61 122 143 286 319 377 541 638 671 754 793 1082 1342 1586 1769 3538 4147 5951 7033 8294 8723 11902 14066 15689 17446 19459 22997 31378 33001 38918 45994 66002 77363 154726 172579 203957 252967 345158 363011 407914 429013 505934 726022 858026 957029 1147759 1914058 2243527 2295518 4487054 4719143 9438286 10527319 12441377 12625349 14920867 21054638 24882754 25250698 29841734 33285011 66570022 70013299 136855147 140026598 164129537 273710294 328259074 366135121 432705143 620937619 732270242 770146289 865410286 910172887 1241875238 1540292578 1820345774 2030385671 4060771342 4759756573 6830313809 8072189047 9519513146 10011901757 13660627618 16144378094 18007190951 20023803514 22334242381 26395013723 36014381902 37877194759 44668484762 52790027446 75754389518 88794079517 177588159034 198079100461 234093482363 290345150953 396158200922 416649142349 468186964726 492403531867 580690301906 833298284698 984807063734 1098438648011 2196877296022 2575028305993 5150056611986 5416438850537 10832877701074 12082825128121 14279702424143 24165650256242 28559404848286 157076726665573 314153453331146