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23004134234334 = 2341125572106931
BaseRepresentation
bin1010011101100000100010…
…01111111101100011011110
310000110011200200000122110000
411032300101033331203132
511003344431330444314
6120531541532355130
74562664614500221
oct516602117754336
9100404620018400
1023004134234334
117369aa9071200
1226b6432015aa6
13cab3854a4236
1459759824b5b8
1529d5cc518209
hex14ec113fd8de

23004134234334 has 120 divisors (see below), whose sum is σ = 56760078075624. Its totient is φ = 6958431295200.

The previous prime is 23004134234261. The next prime is 23004134234377. The reversal of 23004134234334 is 43343243140032.

23004134234334 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 413 + 4 + 234 + 3 + 3 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9864849 + ... + 11971779.

Almost surely, 223004134234334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23004134234334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28380039037812).

23004134234334 is an abundant number, since it is smaller than the sum of its proper divisors (33755943841290).

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

23004134234334 is a wasteful number, since it uses less digits than its factorization.

23004134234334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107524 (or 2107504 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 23004134234334 its reverse (43343243140032), we get a palindrome (66347377374366).

The spelling of 23004134234334 in words is "twenty-three trillion, four billion, one hundred thirty-four million, two hundred thirty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 297 363 557 594 726 891 1089 1114 1671 1782 2178 3267 3342 5013 6127 6534 9801 10026 12254 15039 18381 19602 30078 36762 45117 55143 67397 90234 110286 134794 165429 202191 330858 404382 496287 606573 992574 1213146 1819719 2106931 3639438 4213862 5459157 6320793 10918314 12641586 18962379 23176241 37924758 46352482 56887137 69528723 113774274 139057446 170661411 208586169 254938651 341322822 417172338 509877302 625758507 764815953 1173560567 1251517014 1529631906 1877275521 2294447859 2347121134 3520681701 3754551042 4588895718 6883343577 7041363402 10562045103 12909166237 13766687154 20650030731 21124090206 25818332474 31686135309 38727498711 41300061462 63372270618 77454997422 95058405927 116182496133 142000828607 190116811854 232364992266 284001657214 348547488399 426002485821 697094976798 852004971642 1045642465197 1278007457463 2091284930394 2556014914926 3834022372389 7668044744778 11502067117167 23004134234334