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14041420002192 = 24311383151145953
BaseRepresentation
bin1100110001010100010111…
…0110011111001110010000
31211201100100200222002001210
43030111011312133032100
53320023312010032232
645510312253300120
72646313322512332
oct314250566371620
954640320862053
1014041420002192
114523a29594360
1216a93a3194640
137ab13c26939b
14367873477452
151953b23cb5cc
hexcc545d9f390

14041420002192 has 160 divisors (see below), whose sum is σ = 39701714927616. Its totient is φ = 4240965222400.

The previous prime is 14041420002191. The next prime is 14041420002217. The reversal of 14041420002192 is 29120002414041.

14041420002192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×140414200021922 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14041420002191) 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, 305537488 + ... + 305583440.

Almost surely, 214041420002192 is an apocalyptic number.

14041420002192 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 14041420002192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19850857463808).

14041420002192 is an abundant number, since it is smaller than the sum of its proper divisors (25660294925424).

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

14041420002192 is a wasteful number, since it uses less digits than its factorization.

14041420002192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47869 (or 47863 counting only the distinct ones).

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

The spelling of 14041420002192 in words is "fourteen trillion, forty-one billion, four hundred twenty million, two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 383 528 766 1149 1511 1532 2298 3022 3064 4213 4533 4596 6044 6128 8426 9066 9192 12088 12639 16621 16852 18132 18384 24176 25278 33242 33704 36264 45953 49863 50556 66484 67408 72528 91906 99726 101112 132968 137859 183812 199452 202224 265936 275718 367624 398904 505483 551436 578713 735248 797808 1010966 1102872 1157426 1516449 1736139 2021932 2205744 2314852 3032898 3472278 4043864 4629704 6065796 6365843 6944556 8087728 9259408 12131592 12731686 13889112 17599999 19097529 24263184 25463372 27778224 35199998 38195058 50926744 52799997 69434983 70399996 76390116 101853488 105599994 138869966 140799992 152780232 193599989 208304949 211199988 277739932 281599984 305560464 387199978 416609898 422399976 555479864 580799967 763784813 774399956 833219796 844799952 1110959728 1161599934 1527569626 1548799912 1666439592 2291354439 2323199868 3055139252 3097599824 3332879184 4582708878 4646399736 6110278504 9165417756 9292799472 12220557008 18330835512 26593598489 36661671024 53187196978 79780795467 106374393956 159561590934 212748787912 292529583379 319123181868 425497575824 585059166758 638246363736 877588750137 1170118333516 1276492727472 1755177500274 2340236667032 3510355000548 4680473334064 7020710001096 14041420002192