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40840827048 = 23337199313553
BaseRepresentation
bin100110000010010011…
…011001000010101000
310220102021012222101000
4212002103121002220
51132120222431143
630432332355000
72644034205420
oct460223310250
9126367188330
1040840827048
111635864492a
127ab9615a60
133b0b32b568
141d96123480
1510e0725bd3
hex9824d90a8

40840827048 has 128 divisors (see below), whose sum is σ = 129728044800. Its totient is φ = 11662092288.

The previous prime is 40840827043. The next prime is 40840827127. The reversal of 40840827048 is 84072804804.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 40840826994 and 40840827012.

It is not an unprimeable number, because it can be changed into a prime (40840827043) 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, 3006640 + ... + 3020192.

It is an arithmetic number, because the mean of its divisors is an integer number (1013500350).

Almost surely, 240840827048 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 40840827048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64864022400).

40840827048 is an abundant number, since it is smaller than the sum of its proper divisors (88887217752).

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

40840827048 is a wasteful number, since it uses less digits than its factorization.

40840827048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15568 (or 15558 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 40840827048 in words is "forty billion, eight hundred forty million, eight hundred twenty-seven thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 1993 3986 5979 7972 11958 13553 13951 15944 17937 23916 27106 27902 35874 40659 41853 47832 53811 54212 55804 71748 81318 83706 94871 107622 108424 111608 121977 125559 143496 162636 167412 189742 215244 243954 251118 284613 325272 334824 365931 376677 379484 430488 487908 502236 569226 731862 753354 758968 853839 975816 1004472 1138452 1463724 1506708 1707678 2276904 2561517 2927448 3013416 3415356 5123034 6830712 10246068 20492136 27011129 54022258 81033387 108044516 162066774 189077903 216089032 243100161 324133548 378155806 486200322 567233709 648267096 729300483 756311612 972400644 1134467418 1458600966 1512623224 1701701127 1944801288 2268934836 2917201932 3403402254 4537869672 5105103381 5834403864 6806804508 10210206762 13613609016 20420413524 40840827048