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334063404555352 = 231729471979148037
BaseRepresentation
bin100101111110101000011001…
…0100011111001110001011000
31121210211011001001012011222021
41023331100302203321301120
5322241243323031232402
63142254335345104224
7130236166405046443
oct11375206243716130
91553734031164867
10334063404555352
119749654894700a
1231573886328074
1311453075529064
145c6ca7dc0a65a
152894b50b9cd37
hex12fd4328f9c58

334063404555352 has 128 divisors (see below), whose sum is σ = 704237920531200. Its totient is φ = 147801817096192.

The previous prime is 334063404555343. The next prime is 334063404555373. The reversal of 334063404555352 is 253555404360433.

It is a super-3 number, since 3×3340634045553523 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 334063404555352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31943478 + ... + 41091514.

It is an arithmetic number, because the mean of its divisors is an integer number (5501858754150).

Almost surely, 2334063404555352 is an apocalyptic number.

It is an amenable number.

334063404555352 is an abundant number, since it is smaller than the sum of its proper divisors (370174515975848).

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

334063404555352 is a wasteful number, since it uses less digits than its factorization.

334063404555352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9148333 (or 9148329 counting only the distinct ones).

The product of its (nonzero) digits is 38880000, while the sum is 52.

The spelling of 334063404555352 in words is "three hundred thirty-four trillion, sixty-three billion, four hundred four million, five hundred fifty-five thousand, three hundred fifty-two".

Divisors: 1 2 4 8 17 29 34 47 58 68 94 116 136 188 197 232 376 394 493 788 799 986 1363 1576 1598 1972 2726 3196 3349 3944 5452 5713 6392 6698 9259 10904 11426 13396 18518 22852 23171 26792 37036 45704 46342 74072 92684 97121 157403 185368 194242 268511 314806 388484 537022 629612 776968 1074044 1259224 2148088 4564687 9129374 9148037 18258748 18296074 36517496 36592148 73184296 155516629 265293073 311033258 429957739 530586146 622066516 859915478 1061172292 1244133032 1719830956 1802163289 2122344584 3439661912 3604326578 4509982241 7208653156 7309281563 9019964482 12468774431 14417306312 14618563126 18039928964 24937548862 29237126252 30636775913 36079857928 49875097724 52262735381 58474252504 61273551826 84701674583 99750195448 104525470762 122547103652 169403349166 209050941524 211969165327 245094207304 338806698332 418101883048 423938330654 677613396664 847876661308 888466501477 1439928467911 1695753322616 1776933002954 2456348562907 2879856935822 3553866005908 4912697125814 5759713871644 7107732011816 9825394251628 11519427743288 19650788503256 41757925569419 83515851138838 167031702277676 334063404555352