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234130031432 = 231123143980387
BaseRepresentation
bin1101101000001100111…
…1001100001101001000
3211101022220221220220122
43122003033030031020
512313444242001212
6255320255042412
722625650300553
oct3320317141510
9741286856818
10234130031432
1190326331a50
1239461810408
131910323284b
14b490c4b69a
15615495b272
hex36833cc348

234130031432 has 64 divisors (see below), whose sum is σ = 500077670400. Its totient is φ = 101723659840.

The previous prime is 234130031383. The next prime is 234130031477.

234130031432 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2872343 + ... + 2952729.

It is an arithmetic number, because the mean of its divisors is an integer number (7813713600).

Almost surely, 2234130031432 is an apocalyptic number.

234130031432 is a gapful number since it is divisible by the number (22) 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 234130031432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250038835200).

234130031432 is an abundant number, since it is smaller than the sum of its proper divisors (265947638968).

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

234130031432 is a wasteful number, since it uses less digits than its factorization.

234130031432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81866 (or 81862 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 2341300 and 31432, that added together give a palindrome (2372732).

The spelling of 234130031432 in words is "two hundred thirty-four billion, one hundred thirty million, thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 1012 1439 2024 2878 5756 11512 15829 31658 33097 63316 66194 80387 126632 132388 160774 264776 321548 364067 643096 728134 884257 1456268 1768514 1848901 2912536 3537028 3697802 7074056 7395604 14791208 20337911 40675822 81351644 115676893 162703288 231353786 462707572 925415144 1272445823 2544891646 2660568539 5089783292 5321137078 10179566584 10642274156 21284548312 29266253929 58532507858 117065015716 234130031432