Search a number
-
+
140014081414812 = 223113375051362311
BaseRepresentation
bin11111110101011110010001…
…100101100001011010011100
3200100202012211001220112022010
4133311132101211201122130
5121322442314320233222
61213441325300351220
741330453314242423
oct3765362145413234
9610665731815263
10140014081414812
1140681702887650
12138538006a5510
13601836ab56907
142680a095182ba
15112c14a85280c
hex7f579196169c

140014081414812 has 96 divisors (see below), whose sum is σ = 357469858497024. Its totient is φ = 42301092556800.

The previous prime is 140014081414811. The next prime is 140014081414849. The reversal of 140014081414812 is 218414180410041.

It is a super-2 number, since 2×1400140814148122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140014081414811) 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, 2246989137 + ... + 2247051447.

It is an arithmetic number, because the mean of its divisors is an integer number (3723644359344).

Almost surely, 2140014081414812 is an apocalyptic number.

140014081414812 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 140014081414812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178734929248512).

140014081414812 is an abundant number, since it is smaller than the sum of its proper divisors (217455777082212).

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

140014081414812 is a wasteful number, since it uses less digits than its factorization.

140014081414812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113179 (or 113177 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 39.

The spelling of 140014081414812 in words is "one hundred forty trillion, fourteen billion, eighty-one million, four hundred fourteen thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 337 674 1011 1348 2022 3707 4044 7414 11121 14828 22242 44484 50513 62311 101026 124622 151539 186933 202052 249244 303078 373866 555643 606156 685421 747732 1111286 1370842 1666929 2056263 2222572 2741684 3333858 4112526 6667716 8225052 17022881 20998807 34045762 41997614 51068643 62996421 68091524 83995228 102137286 125992842 187251691 204274572 230986877 251985684 374503382 461973754 561755073 692960631 749006764 923947508 1123510146 1385921262 2247020292 2771842524 3147515543 6295031086 9442546629 12590062172 18885093258 34622670973 37770186516 69245341946 103868012919 138490683892 207736025838 415472051676 1060712737991 2121425475982 3182138213973 4242850951964 6364276427946 11667840117901 12728552855892 23335680235802 35003520353703 46671360471604 70007040707406 140014081414812