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234105501432 = 23311990189563
BaseRepresentation
bin1101101000000111000…
…1100111011011111000
3211101021012210200002010
43122001301213123320
512313422002021212
6255314021205520
722625231633535
oct3320161473370
9741235720063
10234105501432
11903134a8220
12394555608a0
13190cb12455a
14b48b8a3d8c
15615271303c
hex3681c676f8

234105501432 has 64 divisors (see below), whose sum is σ = 638541164160. Its totient is φ = 70933104000.

The previous prime is 234105501397. The next prime is 234105501473.

234105501432 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 234105501432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2569083 + ... + 2658645.

It is an arithmetic number, because the mean of its divisors is an integer number (9977205690).

Almost surely, 2234105501432 is an apocalyptic number.

234105501432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

234105501432 is an abundant number, since it is smaller than the sum of its proper divisors (404435662728).

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

234105501432 is a wasteful number, since it uses less digits than its factorization.

234105501432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99484 (or 99480 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

It can be divided in two parts, 234105 and 501432, that added together give a palindrome (735537).

The spelling of 234105501432 in words is "two hundred thirty-four billion, one hundred five million, five hundred one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 9901 19802 29703 39604 59406 79208 89563 108911 118812 179126 217822 237624 268689 326733 358252 435644 537378 653466 716504 871288 985193 1074756 1306932 1970386 2149512 2613864 2955579 3940772 5911158 7881544 11822316 23644632 886763263 1773526526 2660289789 3547053052 5320579578 7094106104 9754395893 10641159156 19508791786 21282318312 29263187679 39017583572 58526375358 78035167144 117052750716 234105501432