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14460213126012 = 2232959853825647
BaseRepresentation
bin1101001001101100011111…
…0111011110001101111100
31220012101100010010001102120
43102123013313132031330
53343404004030013022
650430532531322540
73021500363362653
oct322330767361574
956171303101376
1014460213126012
1146755a6372845
1217565a0150450
1380b791221124
1437dc4152219a
151a1223ae7d5c
hexd26c7dde37c

14460213126012 has 96 divisors (see below), whose sum is σ = 35537210956800. Its totient is φ = 4569613746432.

The previous prime is 14460213125977. The next prime is 14460213126031. The reversal of 14460213126012 is 21062131206441.

It is a happy number.

It is a congruent number.

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, 17100973 + ... + 17926619.

It is an arithmetic number, because the mean of its divisors is an integer number (370179280800).

Almost surely, 214460213126012 is an apocalyptic number.

14460213126012 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 14460213126012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17768605478400).

14460213126012 is an abundant number, since it is smaller than the sum of its proper divisors (21076997830788).

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

14460213126012 is a wasteful number, since it uses less digits than its factorization.

14460213126012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826595 (or 826593 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 14460213126012 in words is "fourteen trillion, four hundred sixty billion, two hundred thirteen million, one hundred twenty-six thousand, twelve".

Divisors: 1 2 3 4 6 12 29 58 59 87 116 118 174 177 236 348 354 708 853 1706 1711 2559 3412 3422 5118 5133 6844 10236 10266 20532 24737 49474 50327 74211 98948 100654 148422 150981 201308 296844 301962 603924 825647 1459483 1651294 2476941 2918966 3302588 4378449 4953882 5837932 8756898 9907764 17513796 23943763 47887526 48713173 71831289 95775052 97426346 143662578 146139519 194852692 287325156 292279038 584558076 704276891 1408553782 1412682017 2112830673 2817107564 2825364034 4225661346 4238046051 5650728068 8451322692 8476092102 16952184204 20424029839 40848059678 41552336569 61272089517 81696119356 83104673138 122544179034 124657009707 166209346276 245088358068 249314019414 498628038828 1205017760501 2410035521002 3615053281503 4820071042004 7230106563006 14460213126012