Search a number
-
+
152214456042 = 23311256253293
BaseRepresentation
bin1000110111000010110…
…0000100011011101010
3112112220002100112111000
42031300230010123222
54443213400043132
6153532032015430
713666005346215
oct2156054043352
9475802315430
10152214456042
1159610101810
1225600391576
131147a2a298c
14751d91277c
153e5d20487c
hex2370b046ea

152214456042 has 32 divisors (see below), whose sum is σ = 369004743360. Its totient is φ = 46125592560.

The previous prime is 152214456013. The next prime is 152214456049. The reversal of 152214456042 is 240654412251.

152214456042 is a `hidden beast` number, since 1 + 5 + 2 + 2 + 1 + 4 + 45 + 604 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 152214455988 and 152214456006.

It is not an unprimeable number, because it can be changed into a prime (152214456049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128126053 + ... + 128127240.

It is an arithmetic number, because the mean of its divisors is an integer number (11531398230).

Almost surely, 2152214456042 is an apocalyptic number.

152214456042 is an abundant number, since it is smaller than the sum of its proper divisors (216790287318).

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

152214456042 is a wasteful number, since it uses less digits than its factorization.

152214456042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256253315 (or 256253309 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 152214456042 its reverse (240654412251), we get a palindrome (392868868293).

The spelling of 152214456042 in words is "one hundred fifty-two billion, two hundred fourteen million, four hundred fifty-six thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 256253293 512506586 768759879 1537519758 2306279637 2818786223 4612559274 5637572446 6918838911 8456358669 13837677822 16912717338 25369076007 50738152014 76107228021 152214456042