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14004037136712 = 2337712179538801
BaseRepresentation
bin1100101111001001000110…
…1010001011000101001000
31211120202212102111202012110
43023302101222023011020
53313420232001333322
645441211004542320
72643521044425330
oct313622152130510
954522772452173
1014004037136712
11450a095974207
1216a20ab8519a0
137a7762478b3c
14365b286cc0c0
1519442555bc0c
hexcbc91a8b148

14004037136712 has 128 divisors (see below), whose sum is σ = 40593773721600. Its totient is φ = 3942981504000.

The previous prime is 14004037136689. The next prime is 14004037136723. The reversal of 14004037136712 is 21763173040041.

It is a super-2 number, since 2×140040371367122 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25721712 + ... + 26260512.

It is an arithmetic number, because the mean of its divisors is an integer number (317138857200).

Almost surely, 214004037136712 is an apocalyptic number.

14004037136712 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 14004037136712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20296886860800).

14004037136712 is an abundant number, since it is smaller than the sum of its proper divisors (26589736584888).

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

14004037136712 is a wasteful number, since it uses less digits than its factorization.

14004037136712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541067 (or 541063 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 14004037136712 in words is "fourteen trillion, four billion, thirty-seven million, one hundred thirty-six thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 84 142 168 213 284 426 497 568 852 994 1491 1704 1988 2179 2982 3976 4358 5964 6537 8716 11928 13074 15253 17432 26148 30506 45759 52296 61012 91518 122024 154709 183036 309418 366072 464127 538801 618836 928254 1077602 1082963 1237672 1616403 1856508 2155204 2165926 3232806 3248889 3713016 3771607 4310408 4331852 6465612 6497778 7543214 8663704 11314821 12931224 12995556 15086428 22629642 25991112 30172856 38254871 45259284 76509742 90518568 114764613 153019484 229529226 267784097 306038968 459058452 535568194 803352291 918116904 1071136388 1174047379 1606704582 2142272776 2348094758 3213409164 3522142137 4696189516 6426818328 7044284274 8218331653 9392379032 14088568548 16436663306 24654994959 28177137096 32873326612 49309989918 65746653224 83357363909 98619979836 166714727818 197239959672 250072091727 333429455636 500144183454 583501547363 666858911272 1000288366908 1167003094726 1750504642089 2000576733816 2334006189452 3501009284178 4668012378904 7002018568356 14004037136712