Search a number
-
+
44206091370 = 23257217775641
BaseRepresentation
bin101001001010111000…
…110110110001101010
311020002210120010011100
4221022320312301222
51211013224410440
632150305542230
73123316401600
oct511270666152
9136083503140
1044206091370
1117825205811
128698644976
1342265b1a1c
1421d504b870
15123adbb230
hexa4ae36c6a

44206091370 has 144 divisors (see below), whose sum is σ = 133799826888. Its totient is φ = 10096773120.

The previous prime is 44206091323. The next prime is 44206091411. The reversal of 44206091370 is 7319060244.

44206091370 is a `hidden beast` number, since 4 + 42 + 0 + 609 + 1 + 3 + 7 + 0 = 666.

44206091370 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 43563620961 + 642470409 = 208719^2 + 25347^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7833750 + ... + 7839390.

Almost surely, 244206091370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44206091370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66899913444).

44206091370 is an abundant number, since it is smaller than the sum of its proper divisors (89593735518).

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

44206091370 is a wasteful number, since it uses less digits than its factorization.

44206091370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7445 (or 7435 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 44206091370 in words is "forty-four billion, two hundred six million, ninety-one thousand, three hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 1777 2205 3554 4410 5331 5641 8885 10662 11282 12439 15993 16923 17770 24878 26655 28205 31986 33846 37317 39487 50769 53310 56410 62195 74634 78974 79965 84615 87073 101538 111951 118461 124390 159930 169230 174146 186585 197435 223902 236922 253845 261219 276409 355383 373170 394870 435365 507690 522438 552818 559755 592305 710766 783657 829227 870730 1119510 1184610 1306095 1382045 1567314 1658454 1776915 2487681 2612190 2764090 3553830 3918285 4146135 4975362 7836570 8292270 10024057 12438405 20048114 24876810 30072171 50120285 60144342 70168399 90216513 100240570 140336798 150360855 180433026 210505197 300721710 350841995 421010394 451082565 491178793 631515591 701683990 902165130 982357586 1052525985 1263031182 1473536379 2105051970 2455893965 2947072758 3157577955 4420609137 4911787930 6315155910 7367681895 8841218274 14735363790 22103045685 44206091370