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432100123441404 = 2231116344094554941
BaseRepresentation
bin110001000111111100010011…
…0010111010111100011111100
32002122221100221112201112121120
41202033320212113113203330
5423114012023100111104
64131000020100030540
7160005126605131605
oct14217704627274374
92078840845645546
10432100123441404
111157536a6945a20
1240567a95092450
1315714b36491242
14789ba86a78dac
1534e4db0da4cd9
hex188fe265d78fc

432100123441404 has 96 divisors (see below), whose sum is σ = 1106890260698880. Its totient is φ = 130106577369600.

The previous prime is 432100123441397. The next prime is 432100123441409. The reversal of 432100123441404 is 404144321001234.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432100123441409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92586574 + ... + 97141514.

It is an arithmetic number, because the mean of its divisors is an integer number (11530106882280).

Almost surely, 2432100123441404 is an apocalyptic number.

432100123441404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432100123441404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553445130349440).

432100123441404 is an abundant number, since it is smaller than the sum of its proper divisors (674790137257476).

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

432100123441404 is a wasteful number, since it uses less digits than its factorization.

432100123441404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4559531 (or 4559529 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 432100123441404 its reverse (404144321001234), we get a palindrome (836244444442638).

The spelling of 432100123441404 in words is "four hundred thirty-two trillion, one hundred billion, one hundred twenty-three million, four hundred forty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 163 326 489 652 978 1793 1956 3586 4409 5379 7172 8818 10758 13227 17636 21516 26454 48499 52908 96998 145497 193996 290994 581988 718667 1437334 2156001 2874668 4312002 4554941 7905337 8624004 9109882 13664823 15810674 18219764 23716011 27329646 31621348 47432022 50104351 54659292 94864044 100208702 150313053 200417404 300626106 601252212 742455383 1484910766 2227366149 2969821532 4454732298 8167009213 8909464596 16334018426 20082734869 24501027639 32668036852 40165469738 49002055278 60248204607 80330939476 98004110556 120496409214 220910083559 240992818428 441820167118 662730250677 883640334236 1325460501354 2650921002708 3273485783647 6546971567294 9820457350941 13093943134588 19640914701882 36008343620117 39281829403764 72016687240234 108025030860351 144033374480468 216050061720702 432100123441404