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132112434433344 = 2631551144361137
BaseRepresentation
bin11110000010011111010010…
…101110011000110101000000
3122022202211021201002010211220
4132002133102232120311000
5114304012231203331334
61144551340423035040
736553544166135351
oct3602372256306500
9568684251063756
10132112434433344
1139105629089a02
1212998336b9ba80
1358941c2799c51
14248a3c1295d28
151041833247449
hex7827d2b98d40

132112434433344 has 56 divisors (see below), whose sum is σ = 349570026109248. Its totient is φ = 44034638039040.

The previous prime is 132112434433339. The next prime is 132112434433349. The reversal of 132112434433344 is 443334434211231.

It is an interprime number because it is at equal distance from previous prime (132112434433339) and next prime (132112434433349).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 132112434433296 and 132112434433305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132112434433349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19202457 + ... + 25158680.

It is an arithmetic number, because the mean of its divisors is an integer number (6242321894808).

Almost surely, 2132112434433344 is an apocalyptic number.

It is an amenable number.

132112434433344 is an abundant number, since it is smaller than the sum of its proper divisors (217457591675904).

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

132112434433344 is a wasteful number, since it uses less digits than its factorization.

132112434433344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44376663 (or 44376653 counting only the distinct ones).

The product of its digits is 995328, while the sum is 42.

Adding to 132112434433344 its reverse (443334434211231), we get a palindrome (575446868644575).

The spelling of 132112434433344 in words is "one hundred thirty-two trillion, one hundred twelve billion, four hundred thirty-four million, four hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 15511 31022 46533 62044 93066 124088 186132 248176 372264 496352 744528 992704 1489056 2978112 44361137 88722274 133083411 177444548 266166822 354889096 532333644 709778192 1064667288 1419556384 2129334576 2839112768 4258669152 8517338304 688085596007 1376171192014 2064256788021 2752342384028 4128513576042 5504684768056 8257027152084 11009369536112 16514054304168 22018739072224 33028108608336 44037478144448 66056217216672 132112434433344