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126233460235344 = 243711191797582881
BaseRepresentation
bin11100101100111100000100…
…100011100101110001010000
3121112221210121212221100020210
4130230330010203211301100
5113021202111310012334
61124250503455004120
735406031552023030
oct3454740443456120
9545853555840223
10126233460235344
1137249345448920
12121a8a82509640
1355589c1cc6957
142325a36b558c0
15e8d94e3415e9
hex72cf048e5c50

126233460235344 has 160 divisors (see below), whose sum is σ = 427968532546560. Its totient is φ = 31062232166400.

The previous prime is 126233460235339. The next prime is 126233460235367. The reversal of 126233460235344 is 443532064332621.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 126233460235293 and 126233460235302.

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, 898721217 + ... + 898861664.

It is an arithmetic number, because the mean of its divisors is an integer number (2674803328416).

Almost surely, 2126233460235344 is an apocalyptic number.

126233460235344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

126233460235344 is an abundant number, since it is smaller than the sum of its proper divisors (301735072311216).

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

126233460235344 is a wasteful number, since it uses less digits than its factorization.

126233460235344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797582929 (or 1797582923 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 48.

The spelling of 126233460235344 in words is "one hundred twenty-six trillion, two hundred thirty-three billion, four hundred sixty million, two hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 19 21 22 24 28 33 38 42 44 48 56 57 66 76 77 84 88 112 114 132 133 152 154 168 176 209 228 231 264 266 304 308 336 399 418 456 462 528 532 616 627 798 836 912 924 1064 1232 1254 1463 1596 1672 1848 2128 2508 2926 3192 3344 3696 4389 5016 5852 6384 8778 10032 11704 17556 23408 35112 70224 1797582881 3595165762 5392748643 7190331524 10785497286 12583080167 14380663048 19773411691 21570994572 25166160334 28761326096 34154074739 37749240501 39546823382 43141989144 50332320668 59320235073 68308149478 75498481002 79093646764 86283978288 100664641336 102462224217 118640470146 136616298956 138413881837 150996962004 158187293528 201329282672 204924448434 237280940292 239078523173 273232597912 276827763674 301993924008 316374587056 375694822129 409848896868 415241645511 474561880584 478157046346 546465195824 553655527348 603987848016 717235569519 751389644258 819697793736 830483291022 949123761168 956314092692 1107311054696 1127084466387 1434471139038 1502779288516 1639395587472 1660966582044 1912628185384 2214622109392 2254168932774 2629863754903 2868942278076 3005558577032 3321933164088 3825256370768 4508337865548 5259727509806 5737884556152 6011117154064 6643866328176 7889591264709 9016675731096 10519455019612 11475769112304 15779182529418 18033351462192 21038910039224 31558365058836 42077820078448 63116730117672 126233460235344