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313124344413414 = 2317231783449316661
BaseRepresentation
bin100011100110010001111000…
…1010100011011110011100110
31112001200101122221101210110120
41013030203301110123303212
5312020212124132212124
63025543201001102410
7122645326104356262
oct10714436124336346
91461611587353416
10313124344413414
119085331a317446
122b151719487a06
1310594664347401
145747428b6d0a2
1526301395a4d79
hex11cc8f151bce6

313124344413414 has 128 divisors (see below), whose sum is σ = 692500419975168. Its totient is φ = 93884760668160.

The previous prime is 313124344413409. The next prime is 313124344413421. The reversal of 313124344413414 is 414314443421313.

It is a super-2 number, since 2×3131243444134142 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18793842244 + ... + 18793858904.

It is an arithmetic number, because the mean of its divisors is an integer number (5410159531056).

Almost surely, 2313124344413414 is an apocalyptic number.

313124344413414 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

313124344413414 is an abundant number, since it is smaller than the sum of its proper divisors (379376075561754).

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

313124344413414 is a wasteful number, since it uses less digits than its factorization.

313124344413414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22982.

The product of its digits is 663552, while the sum is 42.

Adding to 313124344413414 its reverse (414314443421313), we get a palindrome (727438787834727).

The spelling of 313124344413414 in words is "three hundred thirteen trillion, one hundred twenty-four billion, three hundred forty-four million, four hundred thirteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 17 23 34 46 51 69 102 138 391 782 1173 1783 2346 3566 4493 5349 8986 10698 13479 16661 26958 30311 33322 41009 49983 60622 76381 82018 90933 99966 103339 123027 152762 181866 206678 229143 246054 283237 310017 383203 458286 566474 620034 697153 766406 849711 1149609 1394306 1699422 1756763 2091459 2299218 3513526 4182918 5270289 6514451 8011019 10540578 13028902 16022038 19543353 24033057 29706563 39086706 48066114 59413126 74857873 89119689 136187323 149715746 178239378 184253437 224573619 272374646 368506874 408561969 449147238 505011571 552760311 683250949 817123938 1010023142 1105520622 1272583841 1366501898 1515034713 1721731079 2049752847 2545167682 3030069426 3132308429 3443462158 3817751523 4099505694 5165193237 6264616858 7635503046 9396925287 10330386474 11615266133 18793850574 23230532266 29269428343 34845798399 58538856686 69691596798 87808285029 133471587559 175616570058 266943175118 400414762677 800829525354 2269016988503 3069846513857 4538033977006 6139693027714 6807050965509 9209539541571 13614101931018 18419079083142 52187390735569 104374781471138 156562172206707 313124344413414