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40922788016 = 24113171149709
BaseRepresentation
bin100110000111001100…
…000011000010110000
310220121222110000200102
4212013030003002300
51132302213204031
630444421211532
72646050646605
oct460714030260
9126558400612
1040922788016
111639a935370
127b20b60ba8
133b222c7386
141da2d7a6ac
1510e7a157cb
hex9873030b0

40922788016 has 160 divisors (see below), whose sum is σ = 91279872000. Its totient is φ = 17603712000.

The previous prime is 40922788013. The next prime is 40922788091. The reversal of 40922788016 is 61088722904.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40922788013) 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, 57718670 + ... + 57719378.

It is an arithmetic number, because the mean of its divisors is an integer number (570499200).

Almost surely, 240922788016 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 40922788016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45639936000).

40922788016 is an abundant number, since it is smaller than the sum of its proper divisors (50357083984).

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

40922788016 is a wasteful number, since it uses less digits than its factorization.

40922788016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 47.

The spelling of 40922788016 in words is "forty billion, nine hundred twenty-two million, seven hundred eighty-eight thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 31 44 62 71 88 124 142 149 176 248 284 298 341 496 568 596 682 709 781 1136 1192 1364 1418 1562 1639 2201 2384 2728 2836 3124 3278 4402 4619 5456 5672 6248 6556 7799 8804 9238 10579 11344 12496 13112 15598 17608 18476 21158 21979 24211 26224 31196 35216 36952 42316 43958 48422 50339 50809 62392 73904 84632 87916 96844 100678 101618 105641 116369 124784 169264 175832 193688 201356 203236 211282 232738 241769 327949 351664 387376 402712 406472 422564 465476 483538 553729 655898 805424 812944 845128 930952 967076 1107458 1162051 1311796 1560509 1690256 1861904 1934152 2214916 2324102 2623592 3121018 3274871 3607439 3868304 4429832 4648204 5247184 6242036 6549742 7214878 7500511 8859664 9296408 12484072 13099484 14429756 15001022 17165599 18592816 24968144 26198968 28859512 30002044 34331198 36023581 52397936 57719024 60004088 68662396 72047162 82505621 120008176 137324792 144094324 165011242 232515841 274649584 288188648 330022484 465031682 576377296 660044968 930063364 1320089936 1860126728 2557674251 3720253456 5115348502 10230697004 20461394008 40922788016