Search a number
-
+
1131325434456 = 233717396122351
BaseRepresentation
bin10000011101101000010…
…000000010101001011000
311000011011000101201100220
4100131220100002221120
5122013423302400311
62223420154200040
7144510204345540
oct20355020025130
94004130351326
101131325434456
113a68797945a8
12163312723020
13828b69421c9
143ca83974320
151e665b41206
hex10768402a58

1131325434456 has 64 divisors (see below), whose sum is σ = 3422497121280. Its totient is φ = 304221964800.

The previous prime is 1131325434451. The next prime is 1131325434469. The reversal of 1131325434456 is 6544345231311.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131325434451) 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, 198058320 + ... + 198064031.

It is an arithmetic number, because the mean of its divisors is an integer number (53476517520).

Almost surely, 21131325434456 is an apocalyptic number.

It is an amenable number.

1131325434456 is an abundant number, since it is smaller than the sum of its proper divisors (2291171686824).

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

1131325434456 is a wasteful number, since it uses less digits than its factorization.

1131325434456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396122384 (or 396122380 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The spelling of 1131325434456 in words is "one trillion, one hundred thirty-one billion, three hundred twenty-five million, four hundred thirty-four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 2856 396122351 792244702 1188367053 1584489404 2376734106 2772856457 3168978808 4753468212 5545712914 6734079967 8318569371 9506936424 11091425828 13468159934 16637138742 20202239901 22182851656 26936319868 33274277484 40404479802 47138559769 53872639736 66548554968 80808959604 94277119538 141415679307 161617919208 188554239076 282831358614 377108478152 565662717228 1131325434456