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434420256110244 = 223478313723551543
BaseRepresentation
bin110001011000110100101100…
…1000011000111011010100100
32002222011011121120122222000020
41202301221121003013122210
5423420020141031011434
64135533524403115140
7160334553631333665
oct14261513103073244
92088134546588006
10434420256110244
11116468661297098
1240881680972ab0
13158528678702c1
14793c0a440936c
153535403c66849
hex18b1a590c76a4

434420256110244 has 48 divisors (see below), whose sum is σ = 1013934909990912. Its totient is φ = 144765664349472.

The previous prime is 434420256110147. The next prime is 434420256110263. The reversal of 434420256110244 is 442011652024434.

It is a junction number, because it is equal to n+sod(n) for n = 434420256110196 and 434420256110205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 787369537 + ... + 787921079.

It is an arithmetic number, because the mean of its divisors is an integer number (21123643958144).

Almost surely, 2434420256110244 is an apocalyptic number.

It is an amenable number.

434420256110244 is an abundant number, since it is smaller than the sum of its proper divisors (579514653880668).

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

434420256110244 is a wasteful number, since it uses less digits than its factorization.

434420256110244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570056 (or 570054 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 42.

The spelling of 434420256110244 in words is "four hundred thirty-four trillion, four hundred twenty billion, two hundred fifty-six million, one hundred ten thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 4783 9566 13723 14349 19132 27446 28698 41169 54892 57396 82338 164676 551543 1103086 1654629 2206172 3309258 6618516 65637109 131274218 196911327 262548436 393822654 787645308 2638030169 5276060338 7568824589 7914090507 10552120676 15137649178 15828181014 22706473767 30275298356 31656362028 45412947534 90825895068 36201688009187 72403376018374 108605064027561 144806752036748 217210128055122 434420256110244