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313234401220344 = 23337131365254883
BaseRepresentation
bin100011100111000101001000…
…1001101110101011011111000
31112002001220201222200212022000
41013032022101031311123320
5312024013023203022334
63030105521500301000
7122656303315654512
oct10716122115653370
91462056658625260
10313234401220344
1190895a6653742a
122b16ab13241760
13105a1b53543a86
14574c8a96dcbb2
152632e2b66e299
hex11ce2913756f8

313234401220344 has 128 divisors (see below), whose sum is σ = 885169450483200. Its totient is φ = 102611996847360.

The previous prime is 313234401220261. The next prime is 313234401220357. The reversal of 313234401220344 is 443022104432313.

313234401220344 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 3 + 4 + 401 + 2 + 203 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 313234401220299 and 313234401220308.

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, 27827274 + ... + 37427609.

It is an arithmetic number, because the mean of its divisors is an integer number (6915386331900).

Almost surely, 2313234401220344 is an apocalyptic number.

It is an amenable number.

313234401220344 is an abundant number, since it is smaller than the sum of its proper divisors (571935049262856).

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

313234401220344 is a wasteful number, since it uses less digits than its factorization.

313234401220344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65255282 (or 65255272 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 313234401220344 its reverse (443022104432313), we get a palindrome (756256505652657).

The spelling of 313234401220344 in words is "three hundred thirteen trillion, two hundred thirty-four billion, four hundred one million, two hundred twenty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 108 142 213 216 284 313 426 568 626 639 852 939 1252 1278 1704 1878 1917 2504 2556 2817 3756 3834 5112 5634 7512 7668 8451 11268 15336 16902 22223 22536 33804 44446 66669 67608 88892 133338 177784 200007 266676 400014 533352 600021 800028 1200042 1600056 2400084 4800168 65254883 130509766 195764649 261019532 391529298 522039064 587293947 783058596 1174587894 1566117192 1761881841 2349175788 3523763682 4633096693 4698351576 7047527364 9266193386 13899290079 14095054728 18532386772 20424778379 27798580158 37064773544 40849556758 41697870237 55597160316 61274335137 81699113516 83395740474 111194320632 122548670274 125093610711 163398227032 166791480948 183823005411 245097340548 250187221422 333582961896 367646010822 490194681096 500374442844 551469016233 735292021644 1000748885688 1102938032466 1450159264909 1470584043288 2205876064932 2900318529818 4350477794727 4411752129864 5800637059636 8700955589454 11601274119272 13051433384181 17401911178908 26102866768362 34803822357816 39154300152543 52205733536724 78308600305086 104411467073448 156617200610172 313234401220344