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40844556816 = 2437259294337
BaseRepresentation
bin100110000010100001…
…100111101000010000
310220102112020110122120
4212002201213220100
51132122201304231
630432544334240
72644111001400
oct460241475020
9126375213576
1040844556816
111635a762088
127aba914380
133b0c03611b
141d96814800
1510e0c10d96
hex982867a10

40844556816 has 120 divisors (see below), whose sum is σ = 124822859040. Its totient is φ = 11472039936.

The previous prime is 40844556811. The next prime is 40844556827. The reversal of 40844556816 is 61865544804.

It is not an unprimeable number, because it can be changed into a prime (40844556811) 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 23 ways as a sum of consecutive naturals, for example, 8401 + ... + 285936.

It is an arithmetic number, because the mean of its divisors is an integer number (1040190492).

Almost surely, 240844556816 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 40844556816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62411429520).

40844556816 is an abundant number, since it is smaller than the sum of its proper divisors (83978302224).

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

40844556816 is a wasteful number, since it uses less digits than its factorization.

40844556816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294421 (or 294408 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 51.

The spelling of 40844556816 in words is "forty billion, eight hundred forty-four million, five hundred fifty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 59 84 98 112 118 147 168 177 196 236 294 336 354 392 413 472 588 708 784 826 944 1176 1239 1416 1652 2352 2478 2832 2891 3304 4956 5782 6608 8673 9912 11564 17346 19824 23128 34692 46256 69384 138768 294337 588674 883011 1177348 1766022 2060359 2354696 3532044 4120718 4709392 6181077 7064088 8241436 12362154 14128176 14422513 16482872 17365883 24724308 28845026 32965744 34731766 43267539 49448616 52097649 57690052 69463532 86535078 98897232 104195298 115380104 121561181 138927064 173070156 208390596 230760208 243122362 277854128 346140312 364683543 416781192 486244724 692280624 729367086 833562384 850928267 972489448 1458734172 1701856534 1944978896 2552784801 2917468344 3403713068 5105569602 5834936688 6807426136 10211139204 13614852272 20422278408 40844556816