Search a number
-
+
23402772714321 = 327111310724277667
BaseRepresentation
bin1010101001000111000011…
…11101000101001101010001
310001212021122110122122002200
411110203201331011031101
511031412334303324241
6121435030234433413
74633536344613150
oct524434175051521
9101767573578080
1023402772714321
1175030730a7450
12275b745292869
131009b44a17820
145ac9b3677597
152a8b5e61d4b6
hex1548e1f45351

23402772714321 has 96 divisors (see below), whose sum is σ = 45811376851968. Its totient is φ = 11117228814720.

The previous prime is 23402772714287. The next prime is 23402772714329. The reversal of 23402772714321 is 12341727720432.

23402772714321 is a `hidden beast` number, since 2 + 3 + 40 + 277 + 2 + 7 + 14 + 321 = 666.

It is not a de Polignac number, because 23402772714321 - 29 = 23402772713809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23402772714329) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11174871 + ... + 13102796.

It is an arithmetic number, because the mean of its divisors is an integer number (477201842208).

Almost surely, 223402772714321 is an apocalyptic number.

23402772714321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23402772714321 is a deficient number, since it is larger than the sum of its proper divisors (22408604137647).

23402772714321 is a wasteful number, since it uses less digits than its factorization.

23402772714321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24277811 (or 24277808 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 23402772714321 in words is "twenty-three trillion, four hundred two billion, seven hundred seventy-two million, seven hundred fourteen thousand, three hundred twenty-one".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 107 117 143 231 273 321 429 693 749 819 963 1001 1177 1287 1391 2247 3003 3531 4173 6741 8239 9009 9737 10593 12519 15301 24717 29211 45903 74151 87633 107107 137709 321321 963963 24277667 72833001 169943669 218499003 267054337 315609671 509831007 801163011 946829013 1529493021 1869380359 2209267697 2403489033 2597710369 2840487039 3471706381 5608141077 6627803091 7793131107 10415119143 16824423231 18183972583 19883409273 23379393321 24301944667 28574814059 31245357429 33770234797 54551917749 72905834001 85724442177 101310704391 163655753247 200023698413 218717502003 236391643579 257173326531 303932113173 371472582767 600071095239 709174930737 1114417748301 1800213285717 2127524792211 2600308079369 3343253244903 7800924238107 23402772714321