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132331400000412 = 22331170039506269
BaseRepresentation
bin11110000101101011001110…
…000101101111001110011100
3122100112202110210102110101020
4132011223032011233032130
5114321104201400003122
61145240112251044140
736605425311554664
oct3605531605571634
9570482423373336
10132331400000412
113918a482478378
1212a12866140650
1358aba4a08bc52
142496c3410b1a4
15104739b703c5c
hex785ace16f39c

132331400000412 has 48 divisors (see below), whose sum is σ = 309771141388800. Its totient is φ = 43967917748160.

The previous prime is 132331400000411. The next prime is 132331400000461. The reversal of 132331400000412 is 214000004133231.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132331400000411) 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, 261132414 + ... + 261638682.

It is an arithmetic number, because the mean of its divisors is an integer number (6453565445600).

Almost surely, 2132331400000412 is an apocalyptic number.

132331400000412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132331400000412 is an abundant number, since it is smaller than the sum of its proper divisors (177439741388388).

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

132331400000412 is a wasteful number, since it uses less digits than its factorization.

132331400000412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576626 (or 576624 counting only the distinct ones).

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

Adding to 132331400000412 its reverse (214000004133231), we get a palindrome (346331404133643).

The spelling of 132331400000412 in words is "one hundred thirty-two trillion, three hundred thirty-one billion, four hundred million, four hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 311 622 933 1244 1866 3732 70039 140078 210117 280156 420234 506269 840468 1012538 1518807 2025076 3037614 6075228 21782129 43564258 65346387 87128516 130692774 157449659 261385548 314899318 472348977 629798636 944697954 1889395908 35458574491 70917148982 106375723473 141834297964 212751446946 425502893892 11027616666701 22055233333402 33082850000103 44110466666804 66165700000206 132331400000412