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123130714359184 = 24723963012
BaseRepresentation
bin11011111111110010011010…
…011111011000010110010000
3121010222011220012011202120221
4123333302122133120112100
5112114333200333443214
61113513245210442424
734635620613153400
oct3377623237302620
9533864805152527
10123130714359184
1136262496276704
1211987683133414
13539223ab2a52c
1422597b6266800
15e37da47b9e24
hex6ffc9a7d8590

123130714359184 has 45 divisors (see below), whose sum is σ = 277515971021601. Its totient is φ = 52770172996800.

The previous prime is 123130714359181. The next prime is 123130714359199. The reversal of 123130714359184 is 481953417031321.

The square root of 123130714359184 is 11096428.

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., 88378274544784 + 34752439814400 = 9400972^2 + 5895120^2 .

It is a super-2 number, since 2×1231307143591842 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123130714359181) 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, 310501834 + ... + 310898134.

Almost surely, 2123130714359184 is an apocalyptic number.

123130714359184 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

123130714359184 is the 11096428-th square number.

It is an amenable number.

123130714359184 is an abundant number, since it is smaller than the sum of its proper divisors (154385256662417).

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

123130714359184 is an frugal number, since it uses more digits than its factorization.

123130714359184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792624 (or 396310 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 123130714359184 in words is "one hundred twenty-three trillion, one hundred thirty billion, seven hundred fourteen million, three hundred fifty-nine thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 396301 792602 1585204 2774107 3170408 5548214 6340816 11096428 19418749 22192856 38837498 44385712 77674996 155349992 310699984 157054482601 314108965202 628217930404 1099381378207 1256435860808 2198762756414 2512871721616 4397525512828 7695669647449 8795051025656 15391339294898 17590102051312 30782678589796 61565357179592 123130714359184