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2312541214704 = 243277132312503
BaseRepresentation
bin100001101001101110001…
…100101001011111110000
322012002001222021121001200
4201221232030221133300
5300342041022332304
64530211115531200
7326034632665530
oct41515614513760
98162058247050
102312541214704
1181181a256336
12314229459b00
1313a0c16b0286
147dcdb4534c0
154024b6b6e39
hex21a6e3297f0

2312541214704 has 120 divisors (see below), whose sum is σ = 7500636928512. Its totient is φ = 651420040320.

The previous prime is 2312541214699. The next prime is 2312541214787. The reversal of 2312541214704 is 4074121452132.

2312541214704 is a `hidden beast` number, since 2 + 3 + 12 + 54 + 121 + 470 + 4 = 666.

2312541214704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×23125412147043 (a number of 38 digits) contains 333 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 23 ways as a sum of consecutive naturals, for example, 16084684 + ... + 16227819.

Almost surely, 22312541214704 is an apocalyptic number.

2312541214704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2312541214704 is an abundant number, since it is smaller than the sum of its proper divisors (5188095713808).

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

2312541214704 is a wasteful number, since it uses less digits than its factorization.

2312541214704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32312595 (or 32312586 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 2312541214704 its reverse (4074121452132), we get a palindrome (6386662666836).

The spelling of 2312541214704 in words is "two trillion, three hundred twelve billion, five hundred forty-one million, two hundred fourteen thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 71 72 84 112 126 142 144 168 213 252 284 336 426 497 504 568 639 852 994 1008 1136 1278 1491 1704 1988 2556 2982 3408 3976 4473 5112 5964 7952 8946 10224 11928 17892 23856 35784 71568 32312503 64625006 96937509 129250012 193875018 226187521 258500024 290812527 387750036 452375042 517000048 581625054 678562563 775500072 904750084 1163250108 1357125126 1551000144 1809500168 2035687689 2294187713 2326500216 2714250252 3619000336 4071375378 4588375426 4653000432 5428500504 6882563139 8142750756 9176750852 10857001008 13765126278 16059313991 16285501512 18353501704 20647689417 27530252556 32118627982 32571003024 36707003408 41295378834 48177941973 55060505112 64237255964 82590757668 96355883946 110121010224 128474511928 144533825919 165181515336 192711767892 256949023856 289067651838 330363030672 385423535784 578135303676 770847071568 1156270607352 2312541214704