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315013560203342 = 2711131715083613661
BaseRepresentation
bin100011110100000001100111…
…1010110101111100001001110
31112022101000001122012200002002
41013220003033112233201032
5312242140232403001332
63033551122020032302
7123231656453543210
oct10750031726574116
91468330048180062
10315013560203342
1191411556391520
122b3b78a3b32692
13106a0860a99a50
1457b0a482205b0
15266435b6d1562
hex11e80cf5af84e

315013560203342 has 128 divisors (see below), whose sum is σ = 671798118878208. Its totient is φ = 106620135782400.

The previous prime is 315013560203341. The next prime is 315013560203351. The reversal of 315013560203342 is 243302065310513.

It is a super-2 number, since 2×3150135602033422 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 315013560203296 and 315013560203305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315013560203341) 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, 513027992 + ... + 513641652.

It is an arithmetic number, because the mean of its divisors is an integer number (5248422803736).

Almost surely, 2315013560203342 is an apocalyptic number.

315013560203342 is an abundant number, since it is smaller than the sum of its proper divisors (356784558674866).

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

315013560203342 is a wasteful number, since it uses less digits than its factorization.

315013560203342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628794.

The product of its (nonzero) digits is 194400, while the sum is 38.

The spelling of 315013560203342 in words is "three hundred fifteen trillion, thirteen billion, five hundred sixty million, two hundred three thousand, three hundred forty-two".

Divisors: 1 2 7 11 13 14 17 22 26 34 77 91 119 143 154 182 187 221 238 286 374 442 1001 1309 1547 2002 2431 2618 3094 4862 15083 17017 30166 34034 105581 165913 196079 211162 256411 331826 392158 512822 613661 1161391 1227322 1372553 1794877 2156869 2322782 2745106 2820521 3333343 3589754 4295627 4313738 5641042 6666686 6750271 7977593 8591254 10432237 13500542 15098083 15955186 19743647 20864474 23333401 30196166 36666773 39487294 46666802 47251897 55843151 73025659 73333546 87753523 94503794 111686302 114754607 135619081 146051318 175507046 229509214 256667411 271238162 513334822 614274661 803282249 949333567 1228549322 1491809891 1606564498 1898667134 2983619782 9255848863 10442669237 18511697726 20885338474 64790942041 101814337493 120326035219 129581884082 157349430671 203628674986 240652070438 314698861342 712700362451 842282246533 1101446014697 1323586387409 1425400724902 1684564493066 1730843737381 2045542598723 2202892029394 2647172774818 3461687474762 4091085197446 9265104711863 12115906161667 14318798191061 18530209423726 22500968585953 24231812323334 28637596382122 45001937171906 157506780101671 315013560203342