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132413310322144 = 2543132032997419
BaseRepresentation
bin11110000110110111100000…
…010100110100010111100000
3122100211120220021010221010221
4132012313200110310113200
5114323424424420302034
61145341500205332424
736614355161035465
oct3606674024642740
9570746807127127
10132413310322144
113921119573a445
1212a26705867114
1358b66a1bcc747
14249aba487966c
15104959276dbb4
hex786de05345e0

132413310322144 has 48 divisors (see below), whose sum is σ = 261375215834880. Its totient is φ = 66032399159680.

The previous prime is 132413310322123. The next prime is 132413310322231. The reversal of 132413310322144 is 441223013314231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42677067 + ... + 45674485.

It is an arithmetic number, because the mean of its divisors is an integer number (5445316996560).

Almost surely, 2132413310322144 is an apocalyptic number.

It is an amenable number.

132413310322144 is a deficient number, since it is larger than the sum of its proper divisors (128961905512736).

132413310322144 is a wasteful number, since it uses less digits than its factorization.

132413310322144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3001063 (or 3001055 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 132413310322144 its reverse (441223013314231), we get a palindrome (573636323636375).

The spelling of 132413310322144 in words is "one hundred thirty-two trillion, four hundred thirteen billion, three hundred ten million, three hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 431 862 1724 3203 3448 6406 6896 12812 13792 25624 51248 102496 1380493 2760986 2997419 5521972 5994838 11043944 11989676 22087888 23979352 44175776 47958704 95917408 1291887589 2583775178 5167550356 9600733057 10335100712 19201466114 20670201424 38402932228 41340402848 76805864456 153611728912 307223457824 4137915947567 8275831895134 16551663790268 33103327580536 66206655161072 132413310322144