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2314012054104 = 2333181569104021
BaseRepresentation
bin100001101011000101110…
…111011101001001011000
322012012212110220222102000
4201223011313131021120
5300403044041212404
64531013101041000
7326116242632202
oct41530567351130
98165773828360
102314012054104
11812404529793
12314579b56160
1313a29733264a
147ddda925772
15402d58a1339
hex21ac5ddd258

2314012054104 has 128 divisors (see below), whose sum is σ = 6474745368000. Its totient is φ = 765720345600.

The previous prime is 2314012054087. The next prime is 2314012054121. The reversal of 2314012054104 is 4014502104132.

2314012054104 is a `hidden beast` number, since 2 + 3 + 1 + 40 + 1 + 205 + 410 + 4 = 666.

2314012054104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2314012054087) and next prime (2314012054121).

It is a super-2 number, since 2×23140120541042 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 22193614 + ... + 22297634.

Almost surely, 22314012054104 is an apocalyptic number.

2314012054104 is a gapful number since it is divisible by the number (24) 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 2314012054104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237372684000).

2314012054104 is an abundant number, since it is smaller than the sum of its proper divisors (4160733313896).

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

2314012054104 is a wasteful number, since it uses less digits than its factorization.

2314012054104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104786 (or 104776 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 2314012054104 its reverse (4014502104132), we get a palindrome (6328514158236).

The spelling of 2314012054104 in words is "two trillion, three hundred fourteen billion, twelve million, fifty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 181 216 362 543 569 724 1086 1138 1448 1629 1707 2172 2276 3258 3414 4344 4552 4887 5121 6516 6828 9774 10242 13032 13656 15363 19548 20484 30726 39096 40968 61452 102989 104021 122904 205978 208042 308967 312063 411956 416084 617934 624126 823912 832168 926901 936189 1235868 1248252 1853802 1872378 2471736 2496504 2780703 2808567 3707604 3744756 5561406 5617134 7415208 7489512 11122812 11234268 18827801 22245624 22468536 37655602 56483403 59187949 75311204 112966806 118375898 150622408 169450209 177563847 225933612 236751796 338900418 355127694 451867224 473503592 508350627 532691541 677800836 710255388 1016701254 1065383082 1355601672 1420510776 1598074623 2033402508 2130766164 3196149246 4066805016 4261532328 6392298492 10713018769 12784596984 21426037538 32139056307 42852075076 64278112614 85704150152 96417168921 128556225228 192834337842 257112450456 289251506763 385668675684 578503013526 771337351368 1157006027052 2314012054104