Search a number
-
+
252323211042 = 232717131899221
BaseRepresentation
bin1110101011111110100…
…0101010011100100010
3220010021211122012112200
43222333220222130202
513113224220223132
6311525442034030
724141542622540
oct3527750523442
9803254565480
10252323211042
1198011969081
1240a9a648916
131aa4249cb96
14c2d91a2d90
15686bc72d7c
hex3abfa2a722

252323211042 has 96 divisors (see below), whose sum is σ = 666604059264. Its totient is φ = 67333593600.

The previous prime is 252323211013. The next prime is 252323211097. The reversal of 252323211042 is 240112323252.

252323211042 is a `hidden beast` number, since 2 + 5 + 232 + 321 + 104 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 252323210997 and 252323211015.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169009 + ... + 730212.

It is an arithmetic number, because the mean of its divisors is an integer number (6943792284).

Almost surely, 2252323211042 is an apocalyptic number.

252323211042 is an abundant number, since it is smaller than the sum of its proper divisors (414280848222).

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

252323211042 is a wasteful number, since it uses less digits than its factorization.

252323211042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899384 (or 899381 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 252323211042 its reverse (240112323252), we get a palindrome (492435534294).

The spelling of 252323211042 in words is "two hundred fifty-two billion, three hundred twenty-three million, two hundred eleven thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 131 153 238 262 306 357 393 714 786 917 1071 1179 1834 2142 2227 2358 2751 4454 5502 6681 8253 13362 15589 16506 20043 31178 40086 46767 93534 140301 280602 899221 1798442 2697663 5395326 6294547 8092989 12589094 15286757 16185978 18883641 30573514 37767282 45860271 56650923 91720542 107007299 113301846 117797951 137580813 214014598 235595902 275161626 321021897 353393853 642043794 706787706 824585657 963065691 1060181559 1649171314 1926131382 2002565167 2120363118 2473756971 4005130334 4947513942 6007695501 7421270913 12015391002 14017956169 14842541826 18023086503 28035912338 36046173006 42053868507 84107737014 126161605521 252323211042