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431630012320444 = 2271738633635767
BaseRepresentation
bin110001000100100001011000…
…1100011110000101010111100
32002121021102111200201012110001
41202021002301203300222330
5423033311231123223234
64130000031255124044
7156626145036420250
oct14211026143605274
92077242450635401
10431630012320444
11115592295424753
12404b0955973624
13156ac6c669cc12
14788300b216260
1534d7a4924ad14
hex18890b18f0abc

431630012320444 has 96 divisors (see below), whose sum is σ = 918265854320640. Its totient is φ = 173901072842496.

The previous prime is 431630012320433. The next prime is 431630012320513. The reversal of 431630012320444 is 444023210036134.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116899849 + ... + 120535615.

It is an arithmetic number, because the mean of its divisors is an integer number (9565269315840).

Almost surely, 2431630012320444 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 431630012320444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459132927160320).

431630012320444 is an abundant number, since it is smaller than the sum of its proper divisors (486635842000196).

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

431630012320444 is a wasteful number, since it uses less digits than its factorization.

431630012320444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3636692 (or 3636656 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 37.

Adding to 431630012320444 its reverse (444023210036134), we get a palindrome (875653222356578).

The spelling of 431630012320444 in words is "four hundred thirty-one trillion, six hundred thirty billion, twelve million, three hundred twenty thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 289 476 578 863 1156 1726 2023 3452 4046 4913 6041 8092 9826 12082 14671 19652 24164 29342 34391 58684 68782 102697 137564 205394 249407 410788 498814 997628 1745849 3491698 3635767 4239919 6983396 7271534 8479838 14543068 16959676 25450369 29679433 50900738 59358866 61808039 101801476 118717732 123616078 247232156 432656273 865312546 1050736663 1730625092 2101473326 3137666921 4202946652 6275333842 7355156641 12550667684 14710313282 17862523271 21963668447 29420626564 35725046542 43927336894 53340337657 71450093084 87854673788 106680675314 125037662897 213361350628 250075325794 373382363599 500150651588 746764727198 906785740169 1493529454396 1813571480338 3627142960676 6347500181183 12695000362366 15415357582873 25390000724732 30830715165746 61661430331492 107907503080111 215815006160222 431630012320444