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131402242010040 = 23358232586751437
BaseRepresentation
bin11101111000001001110111…
…111101010010101110111000
3122020020221011011201222211120
4131320021313331102232320
5114210343242423310130
61143245205010425240
736451333024140111
oct3570116775225670
9566227134658746
10131402242010040
1138961417a68881
12128a2774b92220
13584224180c101
142463c8c45d208
15102d119472910
hex778277f52bb8

131402242010040 has 128 divisors (see below), whose sum is σ = 394708645301760. Its totient is φ = 34995987823104.

The previous prime is 131402242009957. The next prime is 131402242010041. The reversal of 131402242010040 is 40010242204131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131402242010041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2554599202 + ... + 2554650638.

It is an arithmetic number, because the mean of its divisors is an integer number (3083661291420).

Almost surely, 2131402242010040 is an apocalyptic number.

131402242010040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131402242010040 is an abundant number, since it is smaller than the sum of its proper divisors (263306403291720).

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

131402242010040 is a wasteful number, since it uses less digits than its factorization.

131402242010040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78141 (or 78137 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 131402242010040 its reverse (40010242204131), we get a palindrome (171412484214171).

The spelling of 131402242010040 in words is "one hundred thirty-one trillion, four hundred two billion, two hundred forty-two million, ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 823 1646 2469 3292 4115 4938 6584 8230 9876 12345 16460 19752 24690 25867 32920 49380 51437 51734 77601 98760 102874 103468 129335 154311 155202 205748 206936 257185 258670 308622 310404 388005 411496 514370 517340 617244 620808 771555 776010 1028740 1034680 1234488 1543110 1552020 2057480 3086220 3104040 6172440 21288541 42332651 42577082 63865623 84665302 85154164 106442705 126997953 127731246 169330604 170308328 211663255 212885410 253995906 255462492 319328115 338661208 423326510 425770820 507991812 510924984 634989765 638656230 846653020 851541640 1015983624 1269979530 1277312460 1330520879 1693306040 2539959060 2554624920 2661041758 3991562637 5079918120 5322083516 6652604395 7983125274 10644167032 13305208790 15966250548 19957813185 26610417580 31932501096 39915626370 53220835160 79831252740 159662505480 1095018683417 2190037366834 3285056050251 4380074733668 5475093417085 6570112100502 8760149467336 10950186834170 13140224201004 16425280251255 21900373668340 26280448402008 32850560502510 43800747336680 65701121005020 131402242010040