Search a number
-
+
131141402241440 = 2553126439798839
BaseRepresentation
bin11101110100010110111100…
…101100100010100110100000
3122012022222212210200211122012
4131310112330230202212200
5114142110042433211230
61142525310053132052
736423440125526333
oct3564267454424640
9565288783624565
10131141402241440
1138870835796a88
12128600ba32a028
135823772a97776
1424553c616a61a
15102644ebba395
hex7745bcb229a0

131141402241440 has 48 divisors (see below), whose sum is σ = 319815806768640. Its totient is φ = 50764413768960.

The previous prime is 131141402241359. The next prime is 131141402241481. The reversal of 131141402241440 is 44142204141131.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 131141402241397 and 131141402241406.

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 7 ways as a sum of consecutive naturals, for example, 13219894460 + ... + 13219904379.

It is an arithmetic number, because the mean of its divisors is an integer number (6662829307680).

Almost surely, 2131141402241440 is an apocalyptic number.

131141402241440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141402241440 is an abundant number, since it is smaller than the sum of its proper divisors (188674404527200).

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

131141402241440 is a wasteful number, since it uses less digits than its factorization.

131141402241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26439798885 (or 26439798877 counting only the distinct ones).

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

Adding to 131141402241440 its reverse (44142204141131), we get a palindrome (175283606382571).

The spelling of 131141402241440 in words is "one hundred thirty-one trillion, one hundred forty-one billion, four hundred two million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 4960 26439798839 52879597678 105759195356 132198994195 211518390712 264397988390 423036781424 528795976780 819633764009 846073562848 1057591953560 1639267528018 2115183907120 3278535056036 4098168820045 4230367814240 6557070112072 8196337640090 13114140224144 16392675280180 26228280448288 32785350560360 65570701120720 131141402241440