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40362822136 = 23721375710463
BaseRepresentation
bin100101100101110011…
…111100100111111000
310212011221202210220101
4211211303330213320
51130130340302021
630313055205144
72626141220200
oct454563744770
9125157683811
1040362822136
111613284074a
1279a55167b4
133a632a7a10
141d4c855400
1510b37a4a91
hex965cfc9f8

40362822136 has 96 divisors (see below), whose sum is σ = 94942592640. Its totient is φ = 15945092352.

The previous prime is 40362822133. The next prime is 40362822167. The reversal of 40362822136 is 63122826304.

It is a junction number, because it is equal to n+sod(n) for n = 40362822095 and 40362822104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40362822133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3852441 + ... + 3862903.

It is an arithmetic number, because the mean of its divisors is an integer number (988985340).

Almost surely, 240362822136 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 40362822136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47471296320).

40362822136 is an abundant number, since it is smaller than the sum of its proper divisors (54579770504).

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

40362822136 is a wasteful number, since it uses less digits than its factorization.

40362822136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11253 (or 11242 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 40362822136 in words is "forty billion, three hundred sixty-two million, eight hundred twenty-two thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 757 1274 1514 2548 3028 5096 5299 6056 9841 10463 10598 19682 20926 21196 37093 39364 41852 42392 68887 73241 74186 78728 83704 136019 137774 146482 148372 272038 275548 292964 296744 482209 512687 544076 551096 585928 952133 964418 1025374 1088152 1904266 1928836 2050748 3808532 3857672 4101496 6664931 7617064 7920491 13329862 15840982 26659724 31681964 53319448 55443437 63363928 102966383 110886874 205932766 221773748 388104059 411865532 443547496 720764681 776208118 823731064 1441529362 1552416236 2883058724 3104832472 5045352767 5766117448 10090705534 20181411068 40362822136