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131414422214420 = 22517598378928529
BaseRepresentation
bin11101111000010101001101…
…111101000101011100010100
3122020022002121000221111010022
4131320111031331011130110
5114211043214041330140
61143254541354444312
736452243614153052
oct3570251575053424
9566262530844108
10131414422214420
11389665a8411694
12128a4bb4133698
1358434330b9837
1424646c5d891d2
15102d5cd93c0b5
hex77854df45714

131414422214420 has 96 divisors (see below), whose sum is σ = 300736642147200. Its totient is φ = 48049162133504.

The previous prime is 131414422214347. The next prime is 131414422214483. The reversal of 131414422214420 is 24412224414131.

It is a happy number.

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, 37799285 + ... + 41129244.

It is an arithmetic number, because the mean of its divisors is an integer number (3132673355700).

Almost surely, 2131414422214420 is an apocalyptic number.

131414422214420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131414422214420 is an abundant number, since it is smaller than the sum of its proper divisors (169322219932780).

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

131414422214420 is a wasteful number, since it uses less digits than its factorization.

131414422214420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78928697 (or 78928695 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 35.

Adding to 131414422214420 its reverse (24412224414131), we get a palindrome (155826646628551).

The spelling of 131414422214420 in words is "one hundred thirty-one trillion, four hundred fourteen billion, four hundred twenty-two million, two hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 59 68 83 85 118 166 170 236 295 332 340 415 590 830 1003 1180 1411 1660 2006 2822 4012 4897 5015 5644 7055 9794 10030 14110 19588 20060 24485 28220 48970 83249 97940 166498 332996 416245 832490 1664980 78928529 157857058 315714116 394642645 789285290 1341784993 1578570580 2683569986 4656783211 5367139972 6551067907 6708924965 9313566422 13102135814 13417849930 18627132844 23283916055 26204271628 26835699860 32755339535 46567832110 65510679070 79165314587 93135664220 111368154419 131021358140 158330629174 222736308838 316661258348 386513006513 395826572935 445472617676 556840772095 773026013026 791653145870 1113681544190 1546052026052 1583306291740 1932565032565 2227363088380 3865130065130 6570721110721 7730260130260 13141442221442 26282884442884 32853605553605 65707211107210 131414422214420