Search a number
-
+
41300957917016 = 23721011736029851
BaseRepresentation
bin10010110010000001000001…
…11011001110111101011000
312102020022222202202200122122
421121000200323032331120
520403133330211321031
6223501221555240412
711461616144634200
oct1131004073167530
9172208882680578
1041300957917016
1112183702037516
12477049b2a9108
131a07881c863b5
14a2ad96d79400
154b94eccae47b
hex259020ecef58

41300957917016 has 96 divisors (see below), whose sum is σ = 91500230368080. Its totient is φ = 17423854560000.

The previous prime is 41300957917013. The next prime is 41300957917033. The reversal of 41300957917016 is 61071975900314.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41300957917013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3834491 + ... + 9864341.

Almost surely, 241300957917016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41300957917016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45750115184040).

41300957917016 is an abundant number, since it is smaller than the sum of its proper divisors (50199272451064).

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

41300957917016 is a wasteful number, since it uses less digits than its factorization.

41300957917016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6030145 (or 6030134 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 53.

The spelling of 41300957917016 in words is "forty-one trillion, three hundred billion, nine hundred fifty-seven million, nine hundred seventeen thousand, sixteen".

Divisors: 1 2 4 7 8 14 28 49 56 98 101 173 196 202 346 392 404 692 707 808 1211 1384 1414 2422 2828 4844 4949 5656 8477 9688 9898 16954 17473 19796 33908 34946 39592 67816 69892 122311 139784 244622 489244 856177 978488 1712354 3424708 6029851 6849416 12059702 24119404 42208957 48238808 84417914 168835828 295462699 337671656 590925398 609014951 1043164223 1181850796 1218029902 2086328446 2363701592 2436059804 4172656892 4263104657 4872119608 7302149561 8345313784 8526209314 14604299122 17052418628 29208598244 29841732599 34104837256 51115046927 58417196488 59683465198 102230093854 105359586523 119366930396 204460187708 210719173046 238733860792 408920375416 421438346092 737517105661 842876692184 1475034211322 2950068422644 5162619739627 5900136845288 10325239479254 20650478958508 41300957917016