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163442346131440 = 245197910313214681
BaseRepresentation
bin100101001010011001100010…
…111110110111111111110000
3210102200221021010021001111101
4211022121202332313333300
5132410314411102201230
61335340213253254144
746266214462464205
oct4512314276677760
9712627233231441
10163442346131440
11480945675046a2
12163b827b034354
137027715cbc66c
142c5091a60bcac
1513d679ce2baca
hex94a662fb7ff0

163442346131440 has 160 divisors (see below), whose sum is σ = 408999693772800. Its totient is φ = 60558332590080.

The previous prime is 163442346131431. The next prime is 163442346131489. The reversal of 163442346131440 is 44131643244361.

It is a congruent number.

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, 5760900 + ... + 18975580.

It is an arithmetic number, because the mean of its divisors is an integer number (2556248086080).

Almost surely, 2163442346131440 is an apocalyptic number.

163442346131440 is a gapful number since it is divisible by the number (10) 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 163442346131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204499846886400).

163442346131440 is an abundant number, since it is smaller than the sum of its proper divisors (245557347641360).

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

163442346131440 is a wasteful number, since it uses less digits than its factorization.

163442346131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13214895 (or 13214889 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 46.

The spelling of 163442346131440 in words is "one hundred sixty-three trillion, four hundred forty-two billion, three hundred forty-six million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 79 80 95 103 152 158 190 206 304 316 380 395 412 515 632 760 790 824 1030 1264 1501 1520 1580 1648 1957 2060 3002 3160 3914 4120 6004 6320 7505 7828 8137 8240 9785 12008 15010 15656 16274 19570 24016 30020 31312 32548 39140 40685 60040 65096 78280 81370 120080 130192 154603 156560 162740 309206 325480 618412 650960 773015 1236824 1546030 2473648 3092060 6184120 12368240 13214681 26429362 52858724 66073405 105717448 132146810 211434896 251078939 264293620 502157878 528587240 1004315756 1043959799 1057174480 1255394695 1361112143 2008631512 2087919598 2510789390 2722224286 4017263024 4175839196 5021578780 5219798995 5444448572 6805560715 8351678392 10043157560 10439597990 10888897144 13611121430 16703356784 19835236181 20086315120 20879195980 21777794288 25861130717 27222242860 39670472362 41758391960 51722261434 54444485720 79340944724 83516783920 99176180905 103444522868 107527859297 108888971440 129305653585 158681889448 198352361810 206889045736 215055718594 258611307170 317363778896 396704723620 413778091472 430111437188 517222614340 537639296485 793409447240 860222874376 1034445228680 1075278592970 1586818894480 1720445748752 2043029326643 2068890457360 2150557185940 4086058653286 4301114371880 8172117306572 8602228743760 10215146633215 16344234613144 20430293266430 32688469226288 40860586532860 81721173065720 163442346131440