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40363166532 = 22313231132881
BaseRepresentation
bin100101100101110101…
…010000101101000100
310212011222102022022210
4211211311100231010
51130130432312112
630313110423420
72626144153233
oct454565205504
9125158368283
1040363166532
1116132a56477
1279a5661b70
133a633986c0
141d4c904b1a
1510b3821b3c
hex965d50b44

40363166532 has 144 divisors (see below), whose sum is σ = 106901278848. Its totient is φ = 11760967680.

The previous prime is 40363166491. The next prime is 40363166533. The reversal of 40363166532 is 23566136304.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (40363166533) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45814732 + ... + 45815612.

It is an arithmetic number, because the mean of its divisors is an integer number (742369992).

Almost surely, 240363166532 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 40363166532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53450639424).

40363166532 is an abundant number, since it is smaller than the sum of its proper divisors (66538112316).

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

40363166532 is a wasteful number, since it uses less digits than its factorization.

40363166532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 39.

The spelling of 40363166532 in words is "forty billion, three hundred sixty-three million, one hundred sixty-six thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 113 138 156 226 276 299 339 452 598 678 881 897 1196 1356 1469 1762 1794 2599 2643 2938 3524 3588 4407 5198 5286 5876 7797 8814 10396 10572 11453 12769 15594 17628 20263 22906 25538 31188 33787 34359 38307 40526 45812 51076 60789 67574 68718 76614 81052 99553 101361 121578 135148 137436 153228 165997 199106 202722 243156 263419 293687 298659 331994 398212 405444 497991 526838 587374 597318 663988 790257 881061 995982 1053676 1174748 1194636 1294189 1580514 1762122 1991964 2289719 2588378 3161028 3524244 3817931 3882567 4579438 5176756 6869157 7635862 7765134 9158876 11249489 11453793 13738314 15271724 15530268 22498978 22907586 27476628 29766347 33748467 44997956 45815172 59532694 67496934 89299041 119065388 134993868 146243357 178598082 258738247 292486714 357196164 438730071 517476494 584973428 776214741 877460142 1034952988 1552429482 1754920284 3104858964 3363597211 6727194422 10090791633 13454388844 20181583266 40363166532