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131402304411440 = 24517537324972691
BaseRepresentation
bin11101111000001001111011…
…101011010101011100110000
3122020020221022112011022110112
4131320021323223111130300
5114210343404412131230
61143245215120120452
736451334412425306
oct3570117353253460
9566227275138415
10131402304411440
113896144a209987
12128a2791a66128
13584225171a10a
142463c96864276
15102d11eb9bd95
hex77827bad5730

131402304411440 has 160 divisors (see below), whose sum is σ = 334099856972736. Its totient is φ = 47870848696320.

The previous prime is 131402304411439. The next prime is 131402304411529. The reversal of 131402304411440 is 44114403204131.

It is a junction number, because it is equal to n+sod(n) for n = 131402304411397 and 131402304411406.

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, 7224506 + ... + 17748185.

Almost surely, 2131402304411440 is an apocalyptic number.

131402304411440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131402304411440 is an abundant number, since it is smaller than the sum of its proper divisors (202697552561296).

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

131402304411440 is a wasteful number, since it uses less digits than its factorization.

131402304411440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24972847 (or 24972841 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 131402304411440 its reverse (44114403204131), we get a palindrome (175516707615571).

The spelling of 131402304411440 in words is "one hundred thirty-one trillion, four hundred two billion, three hundred four million, four hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 53 68 73 80 85 106 136 146 170 212 265 272 292 340 365 424 530 584 680 730 848 901 1060 1168 1241 1360 1460 1802 2120 2482 2920 3604 3869 4240 4505 4964 5840 6205 7208 7738 9010 9928 12410 14416 15476 18020 19345 19856 24820 30952 36040 38690 49640 61904 65773 72080 77380 99280 131546 154760 263092 309520 328865 526184 657730 1052368 1315460 2630920 5261840 24972691 49945382 99890764 124863455 199781528 249726910 399563056 424535747 499453820 849071494 998907640 1323552623 1698142988 1823006443 1997815280 2122678735 2647105246 3396285976 3646012886 4245357470 5294210492 6617763115 6792571952 7292025772 8490714940 9115032215 10588420984 13235526230 14584051544 16981429880 18230064430 21176841968 22500394591 26471052460 29168103088 30991109531 33962859760 36460128860 45000789182 52942104920 61982219062 72920257720 90001578364 96619341479 105884209840 112501972955 123964438124 145840515440 154955547655 180003156728 193238682958 225003945910 247928876248 309911095310 360006313456 386477365916 450007891820 483096707395 495857752496 619822190620 772954731832 900015783640 966193414790 1239644381240 1545909463664 1642528805143 1800031567280 1932386829580 2479288762480 3285057610286 3864773659160 6570115220572 7729547318320 8212644025715 13140230441144 16425288051430 26280460882288 32850576102860 65701152205720 131402304411440