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40552444164 = 22317241307929
BaseRepresentation
bin100101110001000111…
…010011000100000100
310212200011120121102110
4211301013103010010
51131022411203124
630343551341020
72633633042121
oct456107230404
9125604517373
1040552444164
111621a885571
127a38b21770
133a9366a3bb
141d69ad5748
1510c525e029
hex9711d3104

40552444164 has 144 divisors (see below), whose sum is σ = 103414006080. Its totient is φ = 12358287360.

The previous prime is 40552444157. The next prime is 40552444213. The reversal of 40552444164 is 46144425504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43651252 + ... + 43652180.

It is an arithmetic number, because the mean of its divisors is an integer number (718152820).

Almost surely, 240552444164 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 40552444164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51707003040).

40552444164 is an abundant number, since it is smaller than the sum of its proper divisors (62861561916).

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

40552444164 is a wasteful number, since it uses less digits than its factorization.

40552444164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 39.

Adding to 40552444164 its reverse (46144425504), we get a palindrome (86696869668).

The spelling of 40552444164 in words is "forty billion, five hundred fifty-two million, four hundred forty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 41 51 68 82 102 123 164 204 246 289 307 492 578 614 697 867 921 929 1156 1228 1394 1734 1842 1858 2091 2787 2788 3468 3684 3716 4182 5219 5574 8364 10438 11148 11849 12587 15657 15793 20876 23698 25174 31314 31586 35547 37761 38089 47379 47396 50348 62628 63172 71094 75522 76178 88723 94758 114267 142188 151044 152356 177446 189516 213979 228534 266169 268481 285203 354892 427958 457068 532338 536962 570406 641937 647513 805443 855609 855916 1064676 1073924 1140812 1283874 1295026 1610886 1711218 1942539 2567748 2590052 3221772 3422436 3637643 3885078 4848451 7275286 7770156 9696902 10912929 11007721 11693323 14545353 14550572 19393804 21825858 22015442 23386646 29090706 33023163 35079969 43651716 44030884 46773292 58181412 66046326 70159938 82423667 132092652 140319876 164847334 198786491 247271001 329694668 397572982 494542002 596359473 795145964 989084004 1192718946 2385437892 3379370347 6758740694 10138111041 13517481388 20276222082 40552444164