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132131042142440 = 235111210124815951
BaseRepresentation
bin11110000010110000100111…
…110101001010100011101000
3122022211121022111202201000212
4132002300213311022203220
5114304313333242024230
61145004055054520252
736555103254065165
oct3602604765124350
9568747274681025
10132131042142440
1139112507705190
121299ba6a806088
135895b99894cc3
14248b2686b506c
151042071b42895
hex782c27d4a8e8

132131042142440 has 64 divisors (see below), whose sum is σ = 324348463192320. Its totient is φ = 48043679200000.

The previous prime is 132131042142371. The next prime is 132131042142443. The reversal of 132131042142440 is 44241240131231.

It is a super-2 number, since 2×1321310421424402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132131042142397 and 132131042142406.

It is not an unprimeable number, because it can be changed into a prime (132131042142443) 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, 7083536 + ... + 17732415.

It is an arithmetic number, because the mean of its divisors is an integer number (5067944737380).

Almost surely, 2132131042142440 is an apocalyptic number.

132131042142440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132131042142440 is an abundant number, since it is smaller than the sum of its proper divisors (192217421049880).

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

132131042142440 is a wasteful number, since it uses less digits than its factorization.

132131042142440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24828074 (or 24828070 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 132131042142440 its reverse (44241240131231), we get a palindrome (176372282273671).

The spelling of 132131042142440 in words is "one hundred thirty-two trillion, one hundred thirty-one billion, forty-two million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 12101 24202 48404 60505 96808 121010 133111 242020 266222 484040 532444 665555 1064888 1331110 2662220 5324440 24815951 49631902 99263804 124079755 198527608 248159510 272975461 496319020 545950922 992638040 1091901844 1364877305 2183803688 2729754610 5459509220 10919018440 300297823051 600595646102 1201191292204 1501489115255 2402382584408 3002978230510 3303276053561 6005956461020 6606552107122 12011912922040 13213104214244 16516380267805 26426208428488 33032760535610 66065521071220 132131042142440