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131211421440440 = 235111831458335537
BaseRepresentation
bin11101110101011000001010…
…001010100101100110111000
3122012120200121120011200120212
4131311120022022211212320
5114144231442342043230
61143021410031410252
736431466225100625
oct3565301212454670
9565520546150525
10131211421440440
11388984a68015a0
121287179b683988
13582a2511a4a73
14245894953d34c
15102819bd1e895
hex77560a2a59b8

131211421440440 has 128 divisors (see below), whose sum is σ = 322319675243520. Its totient is φ = 47675438745600.

The previous prime is 131211421440433. The next prime is 131211421440467. The reversal of 131211421440440 is 44044124112131.

It is a junction number, because it is equal to n+sod(n) for n = 131211421440397 and 131211421440406.

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, 3692230352 + ... + 3692265888.

It is an arithmetic number, because the mean of its divisors is an integer number (2518122462840).

Almost surely, 2131211421440440 is an apocalyptic number.

131211421440440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131211421440440 is an abundant number, since it is smaller than the sum of its proper divisors (191108253803080).

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

131211421440440 is a wasteful number, since it uses less digits than its factorization.

131211421440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41973 (or 41969 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 131211421440440 its reverse (44044124112131), we get a palindrome (175255545552571).

The spelling of 131211421440440 in words is "one hundred thirty-one trillion, two hundred eleven billion, four hundred twenty-one million, four hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1831 3662 4583 7324 9155 9166 14648 18310 18332 20141 22915 35537 36620 36664 40282 45830 50413 71074 73240 80564 91660 100705 100826 142148 161128 177685 183320 201410 201652 252065 284296 355370 390907 402820 403304 504130 710740 781814 805640 1008260 1421480 1563628 1954535 2016520 3127256 3909070 7818140 8391473 15636280 16782946 33565892 41957365 65068247 67131784 83914730 92306203 130136494 162866071 167829460 184612406 260272988 325341235 325732142 335658920 369224812 461531015 520545976 650682470 651464284 715750717 738449624 814330355 923062030 1301364940 1302928568 1431501434 1628660710 1791526781 1846124060 2602729880 2863002868 3257321420 3578753585 3583053562 3692248120 5726005736 6514642840 7157507170 7166107124 8957633905 14315014340 14332214248 17915267810 28630028680 35830535620 71661071240 298207776001 596415552002 1192831104004 1491038880005 2385662208008 2982077760010 3280285536011 5964155520020 6560571072022 11928311040040 13121142144044 16401427680055 26242284288088 32802855360110 65605710720220 131211421440440