Search a number
-
+
132014054451353 = 1017014201344381
BaseRepresentation
bin11110000001000011101010…
…110100100010100010011001
3122022102102100102210020112012
4132001003222310202202121
5114300404240414420403
61144434230330355305
736543462223112414
oct3601035264424231
9568372312706465
10132014054451353
1139077934158368
121298125b88bb35
135887b447b1959
14248572b45ab7b
15103dec6362ed8
hex7810ead22899

132014054451353 has 16 divisors (see below), whose sum is σ = 133517497578192. Its totient is φ = 130514479200000.

The previous prime is 132014054451281. The next prime is 132014054451373. The reversal of 132014054451353 is 353154450410231.

It can be written as a sum of positive squares in 8 ways, for example, as 38794797731209 + 93219256720144 = 6228547^2 + 9655012^2 .

It is a cyclic number.

It is not a de Polignac number, because 132014054451353 - 218 = 132014054189209 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132014054451353.

It is not an unprimeable number, because it can be changed into a prime (132014054451373) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2974540223 + ... + 2974584603.

It is an arithmetic number, because the mean of its divisors is an integer number (8344843598637).

Almost surely, 2132014054451353 is an apocalyptic number.

It is an amenable number.

132014054451353 is a deficient number, since it is larger than the sum of its proper divisors (1503443126839).

132014054451353 is a wasteful number, since it uses less digits than its factorization.

132014054451353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87196.

The product of its (nonzero) digits is 432000, while the sum is 41.

The spelling of 132014054451353 in words is "one hundred thirty-two trillion, fourteen billion, fifty-four million, four hundred fifty-one thousand, three hundred fifty-three".

Divisors: 1 101 701 42013 44381 70801 4243313 4482481 29451113 31111081 1864578953 2974562413 3142219181 188322474253 1307069846053 132014054451353