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132134420033224 = 23737317873539929
BaseRepresentation
bin11110000010110011110001…
…001010110010111011001000
3122022211221000220212100001221
4132002303301022302323020
5114304342243012030344
61145005414202451424
736555253051510240
oct3602636112627310
9568757026770057
10132134420033224
113911399040a564
12129a0651b03b74
1358962b764964b
14248b4a9168b20
1510421bd47e184
hex782cf12b2ec8

132134420033224 has 64 divisors (see below), whose sum is σ = 284063240419200. Its totient is φ = 56445596250624.

The previous prime is 132134420033131. The next prime is 132134420033237. The reversal of 132134420033224 is 422330024431231.

It is a self number, because there is not a number n which added to its sum of digits gives 132134420033224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35556892 + ... + 39096820.

It is an arithmetic number, because the mean of its divisors is an integer number (4438488131550).

Almost surely, 2132134420033224 is an apocalyptic number.

132134420033224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132134420033224 is an abundant number, since it is smaller than the sum of its proper divisors (151928820385976).

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

132134420033224 is a wasteful number, since it uses less digits than its factorization.

132134420033224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3542102 (or 3542098 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 132134420033224 its reverse (422330024431231), we get a palindrome (554464444464455).

The spelling of 132134420033224 in words is "one hundred thirty-two trillion, one hundred thirty-four billion, four hundred twenty million, thirty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 373 746 1492 1787 2611 2984 3574 5222 7148 10444 12509 14296 20888 25018 50036 100072 666551 1333102 2666204 3539929 4665857 5332408 7079858 9331714 14159716 18663428 24779503 28319432 37326856 49559006 99118012 198236024 1320393517 2640787034 5281574068 6325853123 9242754619 10563148136 12651706246 18485509238 25303412492 36971018476 44280971861 50606824984 73942036952 88561943722 177123887444 354247774888 2359543214879 4719086429758 9438172859516 16516802504153 18876345719032 33033605008306 66067210016612 132134420033224