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43430043294 = 2351173311083
BaseRepresentation
bin101000011100101000…
…011101111010011110
311011002201021210100000
4220130220131322132
51202421042341134
631541304315130
73065144164011
oct503450357236
9134081253300
1043430043294
1117467144370
128500772aa6
134131896c91
14215dd59378
1511e2bc5e99
hexa1ca1de9e

43430043294 has 96 divisors (see below), whose sum is σ = 106609636224. Its totient is φ = 13141478880.

The previous prime is 43430043281. The next prime is 43430043299. The reversal of 43430043294 is 49234003434.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43430043299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3913077 + ... + 3924159.

It is an arithmetic number, because the mean of its divisors is an integer number (1110517044).

Almost surely, 243430043294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43430043294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53304818112).

43430043294 is an abundant number, since it is smaller than the sum of its proper divisors (63179592930).

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

43430043294 is a wasteful number, since it uses less digits than its factorization.

43430043294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11844 (or 11832 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 43430043294 in words is "forty-three billion, four hundred thirty million, forty-three thousand, two hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 733 891 1466 1782 2199 2673 4398 5346 6597 8063 11083 13194 16126 19791 22166 24189 33249 39582 48378 59373 66498 72567 99747 118746 121913 145134 178119 199494 217701 243826 299241 356238 365739 435402 598482 653103 731478 897723 1097217 1306206 1795446 1959309 2194434 2693169 3291651 3918618 5386338 6583302 8123839 9874953 16247678 19749906 24371517 29624859 48743034 59249718 73114551 89362229 146229102 178724458 219343653 268086687 438687306 536173374 658030959 804260061 1316061918 1608520122 1974092877 2412780183 3948185754 4825560366 7238340549 14476681098 21715021647 43430043294