Search a number
-
+
4004302110432 = 253132972544469
BaseRepresentation
bin111010010001010011000…
…000010011111011100000
3112011210210200212112222120
4322101103000103323200
51011101302320013212
612303315003104240
7562205224226121
oct72212300237340
915153720775876
104004302110432
111304240170938
12548088812080
132307b11a6700
14dbb48856048
156e263a0988c
hex3a453013ee0

4004302110432 has 144 divisors (see below), whose sum is σ = 11499396294960. Its totient is φ = 1219390488576.

The previous prime is 4004302110377. The next prime is 4004302110437. The reversal of 4004302110432 is 2340112034004.

It is a super-2 number, since 2×40043021104322 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004302110437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301494 + ... + 2845962.

It is an arithmetic number, because the mean of its divisors is an integer number (79856918715).

Almost surely, 24004302110432 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 4004302110432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5749698147480).

4004302110432 is an abundant number, since it is smaller than the sum of its proper divisors (7495094184528).

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

4004302110432 is a wasteful number, since it uses less digits than its factorization.

4004302110432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2544605 (or 2544584 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4004302110432 its reverse (2340112034004), we get a palindrome (6344414144436).

The spelling of 4004302110432 in words is "four trillion, four billion, three hundred two million, one hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 97 104 156 169 194 208 291 312 338 388 416 507 582 624 676 776 1014 1164 1248 1261 1352 1552 2028 2328 2522 2704 3104 3783 4056 4656 5044 5408 7566 8112 9312 10088 15132 16224 16393 20176 30264 32786 40352 49179 60528 65572 98358 121056 131144 196716 262288 393432 524576 786864 1573728 2544469 5088938 7633407 10177876 15266814 20355752 30533628 33078097 40711504 61067256 66156194 81423008 99234291 122134512 132312388 198468582 244269024 246813493 264624776 396937164 430015261 493626986 529249552 740440479 793874328 860030522 987253972 1058499104 1290045783 1480880958 1587748656 1720061044 1974507944 2580091566 2961761916 3175497312 3208575409 3440122088 3949015888 5160183132 5923523832 6417150818 6880244176 7898031776 9625726227 10320366264 11847047664 12834301636 13760488352 19251452454 20640732528 23694095328 25668603272 38502904908 41281465056 41711480317 51337206544 77005809816 83422960634 102674413088 125134440951 154011619632 166845921268 250268881902 308023239264 333691842536 500537763804 667383685072 1001075527608 1334767370144 2002151055216 4004302110432