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44314121432304 = 2433205434993379
BaseRepresentation
bin10100001001101101011110…
…11101110110110011110000
312210220101111022111211101000
422010312233131312303300
521302020310041313204
6234125343142442000
712222406145136003
oct1204665735666360
9183811438454330
1044314121432304
1113135571311049
124b78459733300
131b95a5aa097a9
14ad2b5a20353a
1551caa2ea4039
hex284daf776cf0

44314121432304 has 80 divisors (see below), whose sum is σ = 127204158412800. Its totient is φ = 14770651806144.

The previous prime is 44314121432281. The next prime is 44314121432323. The reversal of 44314121432304 is 40323412141344.

44314121432304 is a `hidden beast` number, since 4 + 4 + 3 + 1 + 412 + 1 + 4 + 3 + 230 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent 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, 6377887 + ... + 11371265.

It is an arithmetic number, because the mean of its divisors is an integer number (1590051980160).

Almost surely, 244314121432304 is an apocalyptic number.

It is an amenable number.

44314121432304 is an abundant number, since it is smaller than the sum of its proper divisors (82890036980496).

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

44314121432304 is a wasteful number, since it uses less digits than its factorization.

44314121432304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5013939 (or 5013927 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 44314121432304 its reverse (40323412141344), we get a palindrome (84637533573648).

The spelling of 44314121432304 in words is "forty-four trillion, three hundred fourteen billion, one hundred twenty-one million, four hundred thirty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 20543 41086 61629 82172 123258 164344 184887 246516 328688 369774 493032 554661 739548 986064 1109322 1479096 2218644 2958192 4437288 4993379 8874576 9986758 14980137 19973516 29960274 39947032 44940411 59920548 79894064 89880822 119841096 134821233 179761644 239682192 269642466 359523288 539284932 719046576 1078569864 2157139728 102578984797 205157969594 307736954391 410315939188 615473908782 820631878376 923210863173 1230947817564 1641263756752 1846421726346 2461895635128 2769632589519 3692843452692 4923791270256 5539265179038 7385686905384 11078530358076 14771373810768 22157060716152 44314121432304