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14112555343032 = 23317127325183777
BaseRepresentation
bin1100110101011101010111…
…0110010001110010111000
31211222010222020122210210010
43031113111312101302320
53322210003131434112
650003115102421520
72654412164106516
oct315272566216270
954863866583703
1014112555343032
114551112639843
1216bb1362918a0
137b4a67989643
1436b0a0b8b4b6
1519717750463c
hexcd5d5d91cb8

14112555343032 has 128 divisors (see below), whose sum is σ = 37662942781440. Its totient is φ = 4391202816000.

The previous prime is 14112555343031. The next prime is 14112555343037. The reversal of 14112555343032 is 23034355521141.

It is a super-3 number, since 3×141125553430323 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14112555343031) 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, 168411928 + ... + 168495704.

It is an arithmetic number, because the mean of its divisors is an integer number (294241740480).

Almost surely, 214112555343032 is an apocalyptic number.

14112555343032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14112555343032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18831471390720).

14112555343032 is an abundant number, since it is smaller than the sum of its proper divisors (23550387438408).

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

14112555343032 is a wasteful number, since it uses less digits than its factorization.

14112555343032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87181 (or 87177 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 14112555343032 in words is "fourteen trillion, one hundred twelve billion, five hundred fifty-five million, three hundred forty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 127 136 204 254 381 408 508 762 1016 1524 2159 3048 3251 4318 6477 6502 8636 9753 12954 13004 17272 19506 25908 26008 39012 51816 55267 78024 83777 110534 165801 167554 221068 251331 331602 335108 412877 442136 502662 663204 670216 825754 1005324 1238631 1326408 1424209 1651508 2010648 2477262 2848418 3303016 4272627 4954524 5696836 7018909 8545254 9909048 10639679 11393672 14037818 17090508 21056727 21279358 28075636 31919037 34181016 42113454 42558716 56151272 63838074 84226908 85117432 127676148 168453816 180874543 255352296 272359027 361749086 542623629 544718054 723498172 817077081 1085247258 1089436108 1446996344 1634154162 2170494516 2178872216 3268308324 4340989032 4630103459 6536616648 9260206918 13890310377 18520413836 27780620754 34589596429 37040827672 55561241508 69179192858 103768789287 111122483016 138358385716 207537578574 276716771432 415075157148 588023139293 830150314296 1176046278586 1764069417879 2352092557172 3528138835758 4704185114344 7056277671516 14112555343032