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43423330401344 = 2619297703159857
BaseRepresentation
bin10011101111110010010000…
…01011101111110001000000
312200202020012120000211210002
421313321020023233301000
521142421440040320334
6232204222543255132
712101142415250465
oct1167711013576100
9180666176024702
1043423330401344
1112921804a70a73
124a538955aa4a8
131b2ca580a84ba
14aa19b3cab66c
15504819180b7e
hex277e482efc40

43423330401344 has 112 divisors (see below), whose sum is σ = 93843807638400. Its totient is φ = 19856969588736.

The previous prime is 43423330401343. The next prime is 43423330401371. The reversal of 43423330401344 is 44310403332434.

It is a happy number.

43423330401344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 43423330401298 and 43423330401307.

It is not an unprimeable number, because it can be changed into a prime (43423330401343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271558664 + ... + 271718520.

Almost surely, 243423330401344 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 43423330401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46921903819200).

43423330401344 is an abundant number, since it is smaller than the sum of its proper divisors (50420477237056).

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

43423330401344 is a wasteful number, since it uses less digits than its factorization.

43423330401344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167620 (or 167610 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 38.

Adding to 43423330401344 its reverse (44310403332434), we get a palindrome (87733733733778).

The spelling of 43423330401344 in words is "forty-three trillion, four hundred twenty-three billion, three hundred thirty million, four hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 29 32 38 58 64 76 116 152 232 304 464 551 608 928 1102 1216 1856 2204 4408 7703 8816 15406 17632 30812 35264 61624 123248 146357 159857 223387 246496 292714 319714 446774 492992 585428 639428 893548 1170856 1278856 1787096 2341712 2557712 3037283 3574192 4244353 4635853 4683424 5115424 6074566 7148384 8488706 9271706 9366848 10230848 12149132 14296768 16977412 18543412 24298264 33954824 37086824 48596528 67909648 74173648 88081207 97193056 135819296 148347296 176162414 194386112 271638592 296694592 352324828 704649656 1231378471 1409299312 2462756942 2818598624 4925513884 5637197248 9851027768 19702055536 23396190949 35709975659 39404111072 46792381898 71419951318 78808222144 93584763796 142839902636 187169527592 285679805272 374339055184 571359610544 678489537521 748678110368 1142719221088 1356979075042 1497356220736 2285438442176 2713958150084 5427916300168 10855832600336 21711665200672 43423330401344