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41360828208 = 2437417014283
BaseRepresentation
bin100110100001010011…
…000010011100110000
310221202111200202212020
4212201103002130300
51134201333000313
631000110031440
72662650144660
oct464123023460
9127674622766
1041360828208
11165a5122457
1280237a8580
133b91c9745b
1420052041a0
1511211e0323
hex9a14c2730

41360828208 has 160 divisors (see below), whose sum is σ = 125298980352. Its totient is φ = 11510016000.

The previous prime is 41360828189. The next prime is 41360828209. The reversal of 41360828208 is 80282806314.

It is a happy number.

It is a super-2 number, since 2×413608282082 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 41360828208.

It is not an unprimeable number, because it can be changed into a prime (41360828209) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9654835 + ... + 9659117.

Almost surely, 241360828208 is an apocalyptic number.

41360828208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41360828208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62649490176).

41360828208 is an abundant number, since it is smaller than the sum of its proper divisors (83938152144).

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

41360828208 is a wasteful number, since it uses less digits than its factorization.

41360828208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5043 (or 5037 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 41360828208 in words is "forty-one billion, three hundred sixty million, eight hundred twenty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 492 574 656 701 861 984 1148 1402 1722 1968 2103 2296 2804 3444 4206 4283 4592 4907 5608 6888 8412 8566 9814 11216 12849 13776 14721 16824 17132 19628 25698 28741 29442 29981 33648 34264 39256 51396 57482 58884 59962 68528 78512 86223 89943 102792 114964 117768 119924 172446 175603 179886 201187 205584 229928 235536 239848 344892 351206 359772 402374 459856 479696 526809 603561 689784 702412 719544 804748 1053618 1207122 1229221 1379568 1404824 1439088 1609496 2107236 2414244 2458442 2809648 3002383 3218992 3687663 4214472 4828488 4916884 6004766 7375326 8428944 9007149 9656976 9833768 12009532 14750652 18014298 19667536 21016681 24019064 29501304 36028596 42033362 48038128 59002608 63050043 72057192 84066724 123097703 126100086 144114384 168133448 246195406 252200172 336266896 369293109 492390812 504400344 738586218 861683921 984781624 1008800688 1477172436 1723367842 1969563248 2585051763 2954344872 3446735684 5170103526 5908689744 6893471368 10340207052 13786942736 20680414104 41360828208