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44022842010 = 23357107217687
BaseRepresentation
bin101000111111111101…
…110100001010011010
311012122000202002022000
4220333331310022122
51210124321421020
632120202141430
73115632661110
oct507775641232
9135560662260
1044022842010
1117740823864
1286471b1876
1341c7640b54
1421b8989ab0
151229c70090
hexa3ff7429a

44022842010 has 128 divisors (see below), whose sum is σ = 135419351040. Its totient is φ = 9968277312.

The previous prime is 44022841931. The next prime is 44022842047. The reversal of 44022842010 is 1024822044.

44022842010 is a `hidden beast` number, since 4 + 4 + 0 + 228 + 420 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93387 + ... + 311073.

It is an arithmetic number, because the mean of its divisors is an integer number (1057963680).

Almost surely, 244022842010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44022842010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67709675520).

44022842010 is an abundant number, since it is smaller than the sum of its proper divisors (91396509030).

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

44022842010 is a wasteful number, since it uses less digits than its factorization.

44022842010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217817 (or 217811 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The spelling of 44022842010 in words is "forty-four billion, twenty-two million, eight hundred forty-two thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 107 126 135 189 210 214 270 315 321 378 535 630 642 749 945 963 1070 1498 1605 1890 1926 2247 2889 3210 3745 4494 4815 5778 6741 7490 9630 11235 13482 14445 20223 22470 28890 33705 40446 67410 101115 202230 217687 435374 653061 1088435 1306122 1523809 1959183 2176870 3047618 3265305 3918366 4571427 5877549 6530610 7619045 9142854 9795915 11755098 13714281 15238090 19591830 22857135 23292509 27428562 29387745 41142843 45714270 46585018 58775490 68571405 69877527 82285686 116462545 137142810 139755054 163047563 205714215 209632581 232925090 326095126 349387635 411428430 419265162 489142689 628897743 698775270 815237815 978285378 1048162905 1257795486 1467428067 1630475630 2096325810 2445713445 2934856134 3144488715 4402284201 4891426890 6288977430 7337140335 8804568402 14674280670 22011421005 44022842010