Search a number
-
+
102456656510142 = 23111552373583487
BaseRepresentation
bin10111010010111100001100…
…100111011011110010111110
3111102202202112112221200011010
4113102330030213123302332
5101412122213031311032
61001523534353340050
730403151314012224
oct2722741447336276
9442682475850133
10102456656510142
112a711695618a60
12b5a8952b67626
13452280cb7735c
141b42d0025ab14
15bca1ed104ccc
hex5d2f0c9dbcbe

102456656510142 has 16 divisors (see below), whose sum is σ = 223541796022272. Its totient is φ = 31047471669720.

The previous prime is 102456656510111. The next prime is 102456656510149. The reversal of 102456656510142 is 241015656654201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102456656510091 and 102456656510100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102456656510149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 776186791678 + ... + 776186791809.

It is an arithmetic number, because the mean of its divisors is an integer number (13971362251392).

Almost surely, 2102456656510142 is an apocalyptic number.

102456656510142 is an abundant number, since it is smaller than the sum of its proper divisors (121085139512130).

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

102456656510142 is a wasteful number, since it uses less digits than its factorization.

102456656510142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552373583503.

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 102456656510142 in words is "one hundred two trillion, four hundred fifty-six billion, six hundred fifty-six million, five hundred ten thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 1552373583487 3104747166974 4657120750461 9314241500922 17076109418357 34152218836714 51228328255071 102456656510142