Search a number
-
+
3122043043032 = 233419326179539
BaseRepresentation
bin101101011011101000010…
…001000011110011011000
3102001110112112210020010000
4231123220101003303120
5402122421004334112
610350125145253000
7441363065002134
oct55335021036330
912043475706100
103122043043032
11aa40619a7311
124250a5a94160
1319853b082274
14ab1717003c4
1556328c607dc
hex2d6e8443cd8

3122043043032 has 160 divisors (see below), whose sum is σ = 8794200769200. Its totient is φ = 1034784792576.

The previous prime is 3122043043003. The next prime is 3122043043069. The reversal of 3122043043032 is 2303403402213.

3122043043032 is a `hidden beast` number, since 3 + 1 + 220 + 4 + 3 + 0 + 430 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3122043042987 and 3122043043005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 327287719 + ... + 327297257.

Almost surely, 23122043043032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3122043043032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4397100384600).

3122043043032 is an abundant number, since it is smaller than the sum of its proper divisors (5672157726168).

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

3122043043032 is a wasteful number, since it uses less digits than its factorization.

3122043043032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12367 (or 12354 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 3122043043032 its reverse (2303403402213), we get a palindrome (5425446445245).

The spelling of 3122043043032 in words is "three trillion, one hundred twenty-two billion, forty-three million, forty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 193 216 324 386 579 648 772 1158 1544 1737 2316 2617 3474 4632 5211 5234 6948 7851 9539 10422 10468 13896 15633 15702 19078 20844 20936 23553 28617 31266 31404 38156 41688 47106 57234 62532 62808 70659 76312 85851 94212 114468 125064 141318 171702 188424 211977 228936 257553 282636 343404 423954 505081 515106 565272 686808 772659 847908 1010162 1030212 1515243 1545318 1695816 1841027 2020324 2060424 3030486 3090636 3682054 4040648 4545729 5523081 6060972 6181272 7364108 9091458 11046162 12121944 13637187 14728216 16569243 18182916 22092324 24963563 27274374 33138486 36365832 40911561 44184648 49707729 49927126 54548748 66276972 74890689 81823122 99415458 99854252 109097496 132553944 149123187 149781378 163646244 198830916 199708504 224672067 298246374 299562756 327292488 397661832 449344134 596492748 599125512 674016201 898688268 1192985496 1348032402 1797376536 2022048603 2696064804 4044097206 4817967659 5392129608 8088194412 9635935318 14453902977 16176388824 19271870636 28907805954 38543741272 43361708931 57815611908 86723417862 115631223816 130085126793 173446835724 260170253586 346893671448 390255380379 520340507172 780510760758 1040681014344 1561021521516 3122043043032