Search a number
-
+
131202200414440 = 235231071332813901
BaseRepresentation
bin11101110101001111100100…
…100011001010100011101000
3122012112210210221012000220101
4131311033210203022203220
5114144104101301230230
61143013243033035144
736431021556501121
oct3565174443124350
9565483727160811
10131202200414440
11388945a4777251
121286ba47555ab4
1358294119b806c
142458312a31048
151027d0c533aca
hex7753e48ca8e8

131202200414440 has 64 divisors (see below), whose sum is σ = 310918827058560. Its totient is φ = 49729952236800.

The previous prime is 131202200414399. The next prime is 131202200414443. The reversal of 131202200414440 is 44414002202131.

It is a junction number, because it is equal to n+sod(n) for n = 131202200414399 and 131202200414408.

It is not an unprimeable number, because it can be changed into a prime (131202200414443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 666308511 + ... + 666505390.

It is an arithmetic number, because the mean of its divisors is an integer number (4858106672790).

Almost surely, 2131202200414440 is an apocalyptic number.

131202200414440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131202200414440 is an abundant number, since it is smaller than the sum of its proper divisors (179716626644120).

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

131202200414440 is a wasteful number, since it uses less digits than its factorization.

131202200414440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332814042 (or 1332814038 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 131202200414440 its reverse (44414002202131), we get a palindrome (175616202616571).

The spelling of 131202200414440 in words is "one hundred thirty-one trillion, two hundred two billion, two hundred million, four hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 107 115 184 214 230 428 460 535 856 920 1070 2140 2461 4280 4922 9844 12305 19688 24610 49220 98440 1332813901 2665627802 5331255604 6664069505 10662511208 13328139010 26656278020 30654719723 53312556040 61309439446 122618878892 142611087407 153273598615 245237757784 285222174814 306547197230 570444349628 613094394460 713055437035 1140888699256 1226188788920 1426110874070 2852221748140 3280055010361 5704443496280 6560110020722 13120220041444 16400275051805 26240440082888 32800550103610 65601100207220 131202200414440