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232132141231232 = 271135325708183
BaseRepresentation
bin110100110001111101111001…
…110100011010110010000000
31010102220121122001012201200212
4310301331321310122302000
5220411223111123344412
62141412011122533252
766615664600320104
oct6461757164326200
91112817561181625
10232132141231232
1167a67763064000
1222050920507228
139c6ac7562cc38
144147381469904
151bc8452b68222
hexd31f79d1ac80

232132141231232 has 128 divisors (see below), whose sum is σ = 518258479547520. Its totient is φ = 103523763932160.

The previous prime is 232132141231219. The next prime is 232132141231247.

232132141231232 is nontrivially palindromic in base 10.

232132141231232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 3824588 + ... + 21883595.

It is an arithmetic number, because the mean of its divisors is an integer number (4048894371465).

Almost surely, 2232132141231232 is an apocalyptic number.

232132141231232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

232132141231232 is an abundant number, since it is smaller than the sum of its proper divisors (286126338316288).

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

232132141231232 is an equidigital number, since it uses as much as digits as its factorization.

232132141231232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25708283 (or 25708249 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The spelling of 232132141231232 in words is "two hundred thirty-two trillion, one hundred thirty-two billion, one hundred forty-one million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 121 128 176 212 242 352 424 484 583 704 848 968 1166 1331 1408 1696 1936 2332 2662 3392 3872 4664 5324 6413 6784 7744 9328 10648 12826 15488 18656 21296 25652 37312 42592 51304 70543 74624 85184 102608 141086 170368 205216 282172 410432 564344 820864 1128688 2257376 4514752 9029504 25708183 51416366 102832732 205665464 282790013 411330928 565580026 822661856 1131160052 1362533699 1645323712 2262320104 2725067398 3110690143 3290647424 4524640208 5450134796 6221380286 9049280416 10900269592 12442760572 14987870689 18098560832 21800539184 24885521144 29975741378 34217591573 36197121664 43601078368 49771042288 59951482756 68435183146 87202156736 99542084576 119902965512 136870366292 164866577579 174404313472 199084169152 239805931024 273740732584 329733155158 398168338304 479611862048 547481465168 659466310316 959223724096 1094962930336 1318932620632 1813532353369 1918447448192 2189925860672 2637865241264 3627064706738 4379851721344 5275730482528 7254129413476 10551460965056 14508258826952 21102921930112 29016517653904 58033035307808 116066070615616 232132141231232