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314031232112232 = 233471795872649553
BaseRepresentation
bin100011101100111000001100…
…0000010011101011001101000
31112011220002111111121020020010
41013121300120002131121220
5312130041430410042412
63031515542331531520
7123101002451541345
oct10731603002353150
91464802444536203
10314031232112232
1191072996828308
122b2794342b9ba0
131062c030a7983b
14577929abdb7cc
152648a1661633c
hex11d9c1809d668

314031232112232 has 128 divisors (see below), whose sum is σ = 807634930636800. Its totient is φ = 101703964965888.

The previous prime is 314031232112209. The next prime is 314031232112249. The reversal of 314031232112232 is 232211232130413.

It is a super-2 number, since 2×3140312321122322 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 314031232112232.

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, 117197568 + ... + 119847120.

It is an arithmetic number, because the mean of its divisors is an integer number (6309647895600).

Almost surely, 2314031232112232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314031232112232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403817465318400).

314031232112232 is an abundant number, since it is smaller than the sum of its proper divisors (493603698524568).

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

314031232112232 is a wasteful number, since it uses less digits than its factorization.

314031232112232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2650375 (or 2650371 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 314031232112232 its reverse (232211232130413), we get a palindrome (546242464242645).

The spelling of 314031232112232 in words is "three hundred fourteen trillion, thirty-one billion, two hundred thirty-two million, one hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 179 188 282 358 376 537 564 587 716 1074 1128 1174 1432 1761 2148 2348 3522 4296 4696 7044 8413 14088 16826 25239 27589 33652 50478 55178 67304 82767 100956 105073 110356 165534 201912 210146 220712 315219 331068 420292 630438 662136 840584 1260876 2521752 2649553 4938431 5299106 7948659 9876862 10598212 14815293 15897318 19753724 21196424 29630586 31794636 39507448 59261172 63589272 118522344 124528991 249057982 373586973 474269987 498115964 747173946 948539974 996231928 1422809961 1494347892 1555287611 1897079948 2845619922 2988695784 3110575222 3794159896 4665862833 5691239844 6221150444 9331725666 11382479688 12442300888 18663451332 22290689389 37326902664 44581378778 66872068167 73098517717 89162757556 133744136334 146197035434 178325515112 219295553151 267488272668 278396482369 292394070868 438591106302 534976545336 556792964738 584788141736 835189447107 877182212604 1113585929476 1670378894214 1754364425208 2227171858952 3340757788428 6681515576856 13084634671343 26169269342686 39253904014029 52338538685372 78507808028058 104677077370744 157015616056116 314031232112232