Search a number
-
+
40931219475 = 325237431091049
BaseRepresentation
bin100110000111101100…
…001101100000010011
310220122120022101110200
4212013230031200103
51132311343010400
630445322030243
72646212424246
oct460754154023
9126576271420
1040931219475
11163a4674013
127b23948383
133b23c89cc3
141da413325d
1510e862db00
hex987b0d813

40931219475 has 144 divisors (see below), whose sum is σ = 77825748000. Its totient is φ = 20536104960.

The previous prime is 40931219437. The next prime is 40931219477. The reversal of 40931219475 is 57491213904.

It is not a de Polignac number, because 40931219475 - 224 = 40914442259 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 40931219475.

It is not an unprimeable number, because it can be changed into a prime (40931219477) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39018751 + ... + 39019799.

Almost surely, 240931219475 is an apocalyptic number.

40931219475 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40931219475 is a deficient number, since it is larger than the sum of its proper divisors (36894528525).

40931219475 is a wasteful number, since it uses less digits than its factorization.

40931219475 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 40931219475 in words is "forty billion, nine hundred thirty-one million, two hundred nineteen thousand, four hundred seventy-five".

Divisors: 1 3 5 9 15 25 37 43 45 75 109 111 129 185 215 225 327 333 387 545 555 645 925 981 1049 1075 1591 1635 1665 1935 2725 2775 3147 3225 4033 4687 4773 4905 5245 7955 8175 8325 9441 9675 12099 14061 14319 15735 20165 23435 23865 24525 26225 36297 38813 39775 42183 45107 47205 60495 70305 71595 78675 100825 114341 116439 117175 119325 135321 173419 181485 194065 210915 225535 236025 302475 343023 349317 351525 357975 405963 520257 571705 582195 676605 867095 907425 970325 1029069 1054575 1127675 1560771 1668959 1715115 1746585 2029815 2601285 2858525 2910975 3383025 4230617 4335475 4916663 5006877 5145345 7803855 8344795 8575575 8732925 10149075 12691851 13006425 14749989 15020631 21153085 24583315 25034385 25726725 38075553 39019275 41723975 44249967 63459255 73749945 75103155 105765425 122916575 125171925 181916531 190377765 221249835 317296275 368749725 375515775 545749593 909582655 951888825 1106249175 1637248779 2728747965 4547913275 8186243895 13643739825 40931219475