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123282445456 = 2461214392
BaseRepresentation
bin111001011010000110…
…1001101010010010000
3102210012202200010011101
41302310031031102100
54004440301223311
6132345110354144
711623024332142
oct1626415152220
9383182603141
10123282445456
11483137a9a65
121ba8705b954
13b8192613a1
145d77272c92
15331823bec1
hex1cb434d490

123282445456 has 45 divisors (see below), whose sum is σ = 243008536953. Its totient is φ = 60588576960.

The previous prime is 123282445453. The next prime is 123282445463. The reversal of 123282445456 is 654544282321.

The square root of 123282445456 is 351116.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4008915856 + 119273529600 = 63316^2 + 345360^2 .

It is a super-2 number, since 2×1232824454562 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123282445453) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 85671585 + ... + 85673023.

Almost surely, 2123282445456 is an apocalyptic number.

123282445456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

123282445456 is the 351116-th square number.

It is an amenable number.

123282445456 is a deficient number, since it is larger than the sum of its proper divisors (119726091497).

123282445456 is an frugal number, since it uses more digits than its factorization.

123282445456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3008 (or 1502 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 46.

The spelling of 123282445456 in words is "one hundred twenty-three billion, two hundred eighty-two million, four hundred forty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 61 122 244 488 976 1439 2878 3721 5756 7442 11512 14884 23024 29768 59536 87779 175558 351116 702232 1404464 2070721 4141442 5354519 8282884 10709038 16565768 21418076 33131536 42836152 85672304 126313981 252627962 505255924 1010511848 2021023696 7705152841 15410305682 30820611364 61641222728 123282445456