Search a number
-
+
6131431243152 = 2432117727361679
BaseRepresentation
bin101100100111001010111…
…0001111111110110010000
3210201011021222121111000200
41121032111301333312100
51300424132344240102
621012423550415200
71201660403435115
oct131162561776620
923634258544020
106131431243152
111a543640aa766
1283038bb01500
13356264901b67
14172a973c090c
15a975c7b351c
hex59395c7fd90

6131431243152 has 60 divisors (see below), whose sum is σ = 17159684805120. Its totient is φ = 2043787402944.

The previous prime is 6131431243103. The next prime is 6131431243183. The reversal of 6131431243152 is 2513421341316.

6131431243152 is a `hidden beast` number, since 6 + 1 + 31 + 431 + 2 + 43 + 152 = 666.

It is a super-3 number, since 3×61314312431523 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16771849 + ... + 17133527.

It is an arithmetic number, because the mean of its divisors is an integer number (285994746752).

Almost surely, 26131431243152 is an apocalyptic number.

It is an amenable number.

6131431243152 is an abundant number, since it is smaller than the sum of its proper divisors (11028253561968).

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

6131431243152 is a wasteful number, since it uses less digits than its factorization.

6131431243152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479420 (or 479411 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

Adding to 6131431243152 its reverse (2513421341316), we get a palindrome (8644852584468).

The spelling of 6131431243152 in words is "six trillion, one hundred thirty-one billion, four hundred thirty-one million, two hundred forty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 117727 235454 353181 361679 470908 706362 723358 941816 1059543 1085037 1412724 1446716 1883632 2119086 2170074 2825448 2893432 3255111 4238172 4340148 5650896 5786864 6510222 8476344 8680296 13020444 16952688 17360592 26040888 52081776 42579383633 85158767266 127738150899 170317534532 255476301798 340635069064 383214452697 510952603596 681270138128 766428905394 1021905207192 1532857810788 2043810414384 3065715621576 6131431243152