Search a number
-
+
431220454025112 = 23341673984812357
BaseRepresentation
bin110001000001100010101010…
…1111110110110011110011000
32002112211021100212112010020000
41202003011111332312132120
5423010103442212300422
64125043535231333000
7156554435562354063
oct14203052576663630
92075737325463200
10431220454025112
11115444627448624
12404454b5681160
131567cbb6a2842b
14786b27782d8da
1534cc078644cac
hex1883155fb6798

431220454025112 has 80 divisors (see below), whose sum is σ = 1215048984201360. Its totient is φ = 142879431836736.

The previous prime is 431220454024931. The next prime is 431220454025129. The reversal of 431220454025112 is 211520454022134.

431220454025112 is a `hidden beast` number, since 4 + 31 + 2 + 20 + 4 + 540 + 2 + 51 + 12 = 666.

It is a super-2 number, since 2×4312204540251122 (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1992297963 + ... + 1992514394.

It is an arithmetic number, because the mean of its divisors is an integer number (15188112302517).

Almost surely, 2431220454025112 is an apocalyptic number.

It is an amenable number.

431220454025112 is an abundant number, since it is smaller than the sum of its proper divisors (783828530176248).

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

431220454025112 is a wasteful number, since it uses less digits than its factorization.

431220454025112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3984812542 (or 3984812529 counting only the distinct ones).

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

The spelling of 431220454025112 in words is "four hundred thirty-one trillion, two hundred twenty billion, four hundred fifty-four million, twenty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 167 216 324 334 501 648 668 1002 1336 1503 2004 3006 4008 4509 6012 9018 12024 13527 18036 27054 36072 54108 108216 3984812357 7969624714 11954437071 15939249428 23908874142 31878498856 35863311213 47817748284 71726622426 95635496568 107589933639 143453244852 215179867278 286906489704 322769800917 430359734556 645539601834 665463663619 860719469112 1291079203668 1330927327238 1996390990857 2582158407336 2661854654476 3992781981714 5323709308952 5989172972571 7985563963428 11978345945142 15971127926856 17967518917713 23956691890284 35935037835426 47913383780568 53902556753139 71870075670852 107805113506278 143740151341704 215610227012556 431220454025112