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4431234231312 = 2437171136865277
BaseRepresentation
bin100000001111011101000…
…1001000110110000010000
3120200121210022222102100220
41000132322021012300100
51040100131430400222
613231403024113040
7635101054332030
oct100367211066020
916617708872326
104431234231312
111459304224279
125b6977465780
13261b2c41a245
1411468982b8c0
157a3eea2ab5c
hex407ba246c10

4431234231312 has 160 divisors (see below), whose sum is σ = 13974850052352. Its totient is φ = 1181047160832.

The previous prime is 4431234231287. The next prime is 4431234231341. The reversal of 4431234231312 is 2131324321344.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2787183 + ... + 4078094.

Almost surely, 24431234231312 is an apocalyptic number.

4431234231312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4431234231312 is an abundant number, since it is smaller than the sum of its proper divisors (9543615821040).

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

4431234231312 is a wasteful number, since it uses less digits than its factorization.

4431234231312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6865425 (or 6865419 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

Adding to 4431234231312 its reverse (2131324321344), we get a palindrome (6562558552656).

The spelling of 4431234231312 in words is "four trillion, four hundred thirty-one billion, two hundred thirty-four million, two hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 113 119 136 168 204 226 238 272 336 339 357 408 452 476 678 714 791 816 904 952 1356 1428 1582 1808 1904 1921 2373 2712 2856 3164 3842 4746 5424 5712 5763 6328 7684 9492 11526 12656 13447 15368 18984 23052 26894 30736 37968 40341 46104 53788 80682 92208 107576 161364 215152 322728 645456 6865277 13730554 20595831 27461108 41191662 48056939 54922216 82383324 96113878 109844432 116709709 144170817 164766648 192227756 233419418 288341634 329533296 350129127 384455512 466838836 576683268 700258254 768911024 775776301 816967963 933677672 1153366536 1400516508 1551552602 1633935926 1867355344 2306733072 2327328903 2450903889 2801033016 3103105204 3267871852 4654657806 4901807778 5430434107 5602066032 6206210408 6535743704 9309315612 9803615556 10860868214 12412420816 13071487408 13188197117 16291302321 18618631224 19607231112 21721736428 26376394234 32582604642 37237262448 39214462224 39564591351 43443472856 52752788468 65165209284 79129182702 86886945712 92317379819 105505576936 130330418568 158258365404 184634759638 211011153872 260660837136 276952139457 316516730808 369269519276 553904278914 633033461616 738539038552 1107808557828 1477078077104 2215617115656 4431234231312