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22142431114320 = 24351119441436027
BaseRepresentation
bin1010000100011011011111…
…01111011011010001010000
32220101210111002120122021010
411002031233233123101100
510400240144331124240
6115032031544130520
74443511041022056
oct502155757332120
986353432518233
1022142431114320
117067609126150
122597427466a40
13c48039c9ac7a
145679b11781d6
15285e97205280
hex14236fbdb450

22142431114320 has 160 divisors (see below), whose sum is σ = 78822817159680. Its totient is φ = 5085343019520.

The previous prime is 22142431114289. The next prime is 22142431114333. The reversal of 22142431114320 is 2341113424122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220667854 + ... + 220768173.

It is an arithmetic number, because the mean of its divisors is an integer number (492642607248).

Almost surely, 222142431114320 is an apocalyptic number.

22142431114320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22142431114320 is an abundant number, since it is smaller than the sum of its proper divisors (56680386045360).

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

22142431114320 is a wasteful number, since it uses less digits than its factorization.

22142431114320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441436073 (or 441436067 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 22142431114320 its reverse (2341113424122), we get a palindrome (24483544538442).

The spelling of 22142431114320 in words is "twenty-two trillion, one hundred forty-two billion, four hundred thirty-one million, one hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 24 30 33 38 40 44 48 55 57 60 66 76 80 88 95 110 114 120 132 152 165 176 190 209 220 228 240 264 285 304 330 380 418 440 456 528 570 627 660 760 836 880 912 1045 1140 1254 1320 1520 1672 2090 2280 2508 2640 3135 3344 4180 4560 5016 6270 8360 10032 12540 16720 25080 50160 441436027 882872054 1324308081 1765744108 2207180135 2648616162 3531488216 4414360270 4855796297 5297232324 6621540405 7062976432 8387284513 8828720540 9711592594 10594464648 13243080810 14567388891 16774569026 17657441080 19423185188 21188929296 24278981485 25161853539 26486161620 29134777782 33549138052 35314882160 38846370376 41936422565 48557962970 50323707078 52972323240 58269555564 67098276104 72836944455 77692740752 83872845130 92260129643 97115925940 100647414156 105944646480 116539111128 125809267695 134196552208 145673888910 167745690260 184520259286 194231851880 201294828312 233078222256 251618535390 276780388929 291347777820 335491380520 369040518572 388463703760 402589656624 461300648215 503237070780 553560777858 582695555640 670982761040 738081037144 922601296430 1006474141560 1107121555716 1165391111280 1383901944645 1476162074288 1845202592860 2012948283120 2214243111432 2767803889290 3690405185720 4428486222864 5535607778580 7380810371440 11071215557160 22142431114320