Search a number
-
+
131403312020040 = 23351377992902191
BaseRepresentation
bin11101111000001010110111…
…101111000011101001001000
3122020021000220202011010121120
4131320022313233003221020
5114210402440334120130
61143245503112435240
736451401366105564
oct3570126757035110
9566230822133546
10131403312020040
1138961916a5a165
12128a2a133a8b20
1358423823bc518
142463d505d26a4
15102d17d382910
hex7782b7bc3a48

131403312020040 has 64 divisors (see below), whose sum is σ = 397087380898560. Its totient is φ = 34785110330880.

The previous prime is 131403312020009. The next prime is 131403312020093. The reversal of 131403312020040 is 40020213304131.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3996434656 + ... + 3996467535.

It is an arithmetic number, because the mean of its divisors is an integer number (6204490326540).

Almost surely, 2131403312020040 is an apocalyptic number.

131403312020040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131403312020040 is an abundant number, since it is smaller than the sum of its proper divisors (265684068878520).

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

131403312020040 is a wasteful number, since it uses less digits than its factorization.

131403312020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7992902342 (or 7992902338 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 131403312020040 its reverse (40020213304131), we get a palindrome (171423525324171).

The spelling of 131403312020040 in words is "one hundred thirty-one trillion, four hundred three billion, three hundred twelve million, twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 274 411 548 685 822 1096 1370 1644 2055 2740 3288 4110 5480 8220 16440 7992902191 15985804382 23978706573 31971608764 39964510955 47957413146 63943217528 79929021910 95914826292 119893532865 159858043820 191829652584 239787065730 319716087640 479574131460 959148262920 1095027600167 2190055200334 3285082800501 4380110400668 5475138000835 6570165601002 8760220801336 10950276001670 13140331202004 16425414002505 21900552003340 26280662404008 32850828005010 43801104006680 65701656010020 131403312020040