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40185731922 = 23721272694001
BaseRepresentation
bin100101011011010000…
…011001101101010010
310211201121112200210120
4211123100121231102
51124300021410142
630243331411110
72621561041200
oct453320315522
9124647480716
1040185731922
11160518861a6
127956153a96
133a356b23cb
141d33118070
1510a2e737ec
hex95b419b52

40185731922 has 96 divisors (see below), whose sum is σ = 94603438080. Its totient is φ = 11346048000.

The previous prime is 40185731917. The next prime is 40185731941. The reversal of 40185731922 is 22913758104.

It is a super-2 number, since 2×401857319222 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10041922 + ... + 10045922.

It is an arithmetic number, because the mean of its divisors is an integer number (985452480).

Almost surely, 240185731922 is an apocalyptic number.

40185731922 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40185731922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47301719040).

40185731922 is an abundant number, since it is smaller than the sum of its proper divisors (54417706158).

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

40185731922 is a wasteful number, since it uses less digits than its factorization.

40185731922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4416 (or 4409 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 40185731922 in words is "forty billion, one hundred eighty-five million, seven hundred thirty-one thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 127 147 254 269 294 381 538 762 807 889 1614 1778 1883 2667 3766 4001 5334 5649 6223 8002 11298 12003 12446 13181 18669 24006 26362 28007 34163 37338 39543 56014 68326 79086 84021 102489 168042 196049 204978 239141 392098 478282 508127 588147 717423 1016254 1076269 1176294 1434846 1524381 1673987 2152538 3048762 3228807 3347974 3556889 5021961 6457614 7113778 7533883 10043922 10670667 15067766 21341334 22601649 24898223 45203298 49796446 52737181 74694669 105474362 136686163 149389338 158211543 273372326 316423086 410058489 820116978 956803141 1913606282 2870409423 5740818846 6697621987 13395243974 20092865961 40185731922