Search a number
-
+
132151115515410 = 23354710413799489
BaseRepresentation
bin11110000011000011010100…
…010011000000011000010010
3122022220112010110100201002000
4132003003110103000120102
5114310130441032443120
61145021215004534430
736556413556664355
oct3603032423003022
9568815113321060
10132151115515410
113911aa78599422
12129a3931251416
135897a4851c7a4
14248c21061a29c
151042849053990
hex7830d44c0612

132151115515410 has 64 divisors (see below), whose sum is σ = 359900910374400. Its totient is φ = 34490503904256.

The previous prime is 132151115515403. The next prime is 132151115515451. The reversal of 132151115515410 is 14515511151231.

132151115515410 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 51 + 1 + 1 + 551 + 54 + 1 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5206887055 + ... + 5206912434.

It is an arithmetic number, because the mean of its divisors is an integer number (5623451724600).

Almost surely, 2132151115515410 is an apocalyptic number.

132151115515410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132151115515410 is an abundant number, since it is smaller than the sum of its proper divisors (227749794858990).

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

132151115515410 is a wasteful number, since it uses less digits than its factorization.

132151115515410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10413799552 (or 10413799546 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 36.

Adding to 132151115515410 its reverse (14515511151231), we get a palindrome (146666626666641).

The spelling of 132151115515410 in words is "one hundred thirty-two trillion, one hundred fifty-one billion, one hundred fifteen million, five hundred fifteen thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 90 94 135 141 235 270 282 423 470 705 846 1269 1410 2115 2538 4230 6345 12690 10413799489 20827598978 31241398467 52068997445 62482796934 93724195401 104137994890 156206992335 187448390802 281172586203 312413984670 468620977005 489448575983 562345172406 937241954010 978897151966 1405862931015 1468345727949 2447242879915 2811725862030 2936691455898 4405037183847 4894485759830 7341728639745 8810074367694 13215111551541 14683457279490 22025185919235 26430223103082 44050371838470 66075557757705 132151115515410