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40841881608 = 233111745719913
BaseRepresentation
bin100110000010010111…
…011010100000001000
310220102100012112221210
4212002113122200020
51132121010202413
630432411133120
72644046160063
oct460227324010
9126370175853
1040841881608
11163591a5170
127ab9a441a0
133b0b60a568
141d963198da
1510e08833c3
hex9825da808

40841881608 has 128 divisors (see below), whose sum is σ = 118203131520. Its totient is φ = 11622236160.

The previous prime is 40841881601. The next prime is 40841881621. The reversal of 40841881608 is 80618814804.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40841881601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2041060 + ... + 2060972.

It is an arithmetic number, because the mean of its divisors is an integer number (923461965).

Almost surely, 240841881608 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 40841881608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59101565760).

40841881608 is an abundant number, since it is smaller than the sum of its proper divisors (77361249912).

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

40841881608 is a wasteful number, since it uses less digits than its factorization.

40841881608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20407 (or 20403 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 48.

The spelling of 40841881608 in words is "forty billion, eight hundred forty-one million, eight hundred eighty-one thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 457 561 748 914 1122 1371 1496 1828 2244 2742 3656 4488 5027 5484 7769 10054 10968 15081 15538 19913 20108 23307 30162 31076 39826 40216 46614 59739 60324 62152 79652 85459 93228 119478 120648 159304 170918 186456 219043 238956 256377 338521 341836 438086 477912 512754 657129 677042 683672 876172 1015563 1025508 1314258 1354084 1752344 2031126 2051016 2628516 2708168 3723731 4062252 5257032 7447462 8124504 9100241 11171193 14894924 18200482 22342386 27300723 29789848 36400964 44684772 54601446 72801928 89369544 100102651 109202892 154704097 200205302 218405784 300307953 309408194 400410604 464112291 600615906 618816388 800821208 928224582 1201231812 1237632776 1701745067 1856449164 2402463624 3403490134 3712898328 5105235201 6806980268 10210470402 13613960536 20420940804 40841881608