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230412323214032 = 24101157908164861
BaseRepresentation
bin110100011000111100001100…
…101011010101001011010000
31010012211012110222012022200212
4310120330030223111023100
5220200033414220322112
62134013543210103252
766350512110344531
oct6430741453251320
91105735428168625
10230412323214032
1167464354687903
1221a13550a1ab28
139b74a3413908b
1440c8031a88688
151b98847579522
hexd18f0cad52d0

230412323214032 has 40 divisors (see below), whose sum is σ = 453715532395752. Its totient is φ = 113338974528000.

The previous prime is 230412323214013. The next prime is 230412323214041.

230412323214032 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 80024188749376 + 150388134464656 = 8945624^2 + 12263284^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 230412323214032.

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, 453828719 + ... + 454336142.

Almost surely, 2230412323214032 is an apocalyptic number.

It is an amenable number.

230412323214032 is a deficient number, since it is larger than the sum of its proper divisors (223303209181720).

230412323214032 is a wasteful number, since it uses less digits than its factorization.

230412323214032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908165127 (or 908165121 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

The spelling of 230412323214032 in words is "two hundred thirty trillion, four hundred twelve billion, three hundred twenty-three million, two hundred fourteen thousand, thirty-two".

Divisors: 1 2 4 8 16 101 157 202 314 404 628 808 1256 1616 2512 15857 31714 63428 126856 253712 908164861 1816329722 3632659444 7265318888 14530637776 91724650961 142581883177 183449301922 285163766354 366898603844 570327532708 733797207688 1140655065416 1467594415376 2281310130832 14400770200877 28801540401754 57603080803508 115206161607016 230412323214032