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312141422131410 = 235107101395992417
BaseRepresentation
bin100011011111001000001011…
…0100101011111100011010010
31111221012102120101201022221110
41012332100112211133203102
5311403111113031201120
63023511442325234150
7122514321266001444
oct10676202645374322
91457172511638843
10312141422131410
1190504485312883
122b013122862956
1310522a6b1b3761
145711a22876494
1526147ac2682e0
hex11be41695f8d2

312141422131410 has 64 divisors (see below), whose sum is σ = 756887160961152. Its totient is φ = 82378387593216.

The previous prime is 312141422131381. The next prime is 312141422131411. The reversal of 312141422131410 is 14131224141213.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (312141422131411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44744479 + ... + 51247938.

It is an arithmetic number, because the mean of its divisors is an integer number (11826361890018).

Almost surely, 2312141422131410 is an apocalyptic number.

312141422131410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312141422131410 is an abundant number, since it is smaller than the sum of its proper divisors (444745738829742).

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

312141422131410 is a wasteful number, since it uses less digits than its factorization.

312141422131410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95993547.

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 312141422131410 its reverse (14131224141213), we get a palindrome (326272646272623).

The spelling of 312141422131410 in words is "three hundred twelve trillion, one hundred forty-one billion, four hundred twenty-two million, one hundred thirty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 107 214 321 535 642 1013 1070 1605 2026 3039 3210 5065 6078 10130 15195 30390 108391 216782 325173 541955 650346 1083910 1625865 3251730 95992417 191984834 287977251 479962085 575954502 959924170 1439886255 2879772510 10271188619 20542377238 30813565857 51355943095 61627131714 97240318421 102711886190 154067829285 194480636842 291720955263 308135658570 486201592105 583441910526 972403184210 1458604776315 2917209552630 10404714071047 20809428142094 31214142213141 52023570355235 62428284426282 104047140710470 156070711065705 312141422131410