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434568070066440 = 233529124875882203
BaseRepresentation
bin110001011001111001100001…
…1011100100111000100001000
32002222200022010222200221112110
41202303303003130213010020
5423424430401414111230
64140125452041142320
7160351335614253462
oct14263630334470410
92088608128627473
10434568070066440
11116515313428172
12408a625348a9a0
13158637932665cb
1479452c7713132
1535391a59844b0
hex18b3cc3727108

434568070066440 has 64 divisors (see below), whose sum is σ = 1348659527803200. Its totient is φ = 111888790452992.

The previous prime is 434568070066399. The next prime is 434568070066451. The reversal of 434568070066440 is 44660070865434.

It is a happy number.

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, 62437937622 + ... + 62437944581.

It is an arithmetic number, because the mean of its divisors is an integer number (21072805121925).

Almost surely, 2434568070066440 is an apocalyptic number.

434568070066440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434568070066440 is an abundant number, since it is smaller than the sum of its proper divisors (914091457736760).

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

434568070066440 is a wasteful number, since it uses less digits than its factorization.

434568070066440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124875882246 (or 124875882242 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 57.

The spelling of 434568070066440 in words is "four hundred thirty-four trillion, five hundred sixty-eight billion, seventy million, sixty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 124875882203 249751764406 374627646609 499503528812 624379411015 749255293218 999007057624 1248758822030 1498510586436 1873138233045 2497517644060 2997021172872 3621400583887 3746276466090 4995035288120 7242801167774 7492552932180 10864201751661 14485602335548 14985105864360 18107002919435 21728403503322 28971204671096 36214005838870 43456807006644 54321008758305 72428011677740 86913614013288 108642017516610 144856023355480 217284035033220 434568070066440