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312343233112404 = 22351321901424703
BaseRepresentation
bin100011100000100110001001…
…1011101010010100101010100
31111221220201110221200101100000
41013001030103131102211110
5311414412420134044104
63024144300031051300
7122535024330016434
oct10701142335224524
91457821427611300
10312343233112404
119058202635888a
122b046264970b30
1310538ac0768c00
14571b6c928c2c4
152619b6e6b4639
hex11c1313752954

312343233112404 has 108 divisors (see below), whose sum is σ = 886603916679936. Its totient is φ = 96105610137888.

The previous prime is 312343233112373. The next prime is 312343233112433. The reversal of 312343233112404 is 404211332343213.

312343233112404 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 4 + 3 + 233 + 1 + 12 + 404 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×3123432331124042 (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 950548084 + ... + 950876619.

Almost surely, 2312343233112404 is an apocalyptic number.

It is an amenable number.

312343233112404 is an abundant number, since it is smaller than the sum of its proper divisors (574260683567532).

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

312343233112404 is a wasteful number, since it uses less digits than its factorization.

312343233112404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901424748 (or 1901424721 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 312343233112404 its reverse (404211332343213), we get a palindrome (716554565455617).

The spelling of 312343233112404 in words is "three hundred twelve trillion, three hundred forty-three billion, two hundred thirty-three million, one hundred twelve thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 234 243 324 338 351 468 486 507 676 702 972 1014 1053 1404 1521 2028 2106 3042 3159 4212 4563 6084 6318 9126 12636 13689 18252 27378 41067 54756 82134 164268 1901424703 3802849406 5704274109 7605698812 11408548218 17112822327 22817096436 24718521139 34225644654 49437042278 51338466981 68451289308 74155563417 98874084556 102676933962 148311126834 154015400943 205353867924 222466690251 296622253668 308030801886 321340774807 444933380502 462046202829 616061603772 642681549614 667400070753 889866761004 924092405658 964022324421 1285363099228 1334800141506 1848184811316 1928044648842 2002200212259 2669600283012 2892066973263 3856089297684 4004400424518 5784133946526 6006600636777 8008800849036 8676200919789 11568267893052 12013201273554 17352401839578 24026402547108 26028602759367 34704803679156 52057205518734 78085808278101 104114411037468 156171616556202 312343233112404