Search a number
-
+
40235444453204 = 227112132931500979
BaseRepresentation
bin10010010011000000010110…
…10111111011111101010100
312021110110201022012110220222
421021200023113323331110
520233204142240000304
6221323524044013512
711321625551632010
oct1111401327737524
9167413638173828
1040235444453204
1111902835504600
124619a94b31298
13195b255c14670
149d1597b1d540
1549b939c664be
hex24980b5fbf54

40235444453204 has 144 divisors (see below), whose sum is σ = 98540105596800. Its totient is φ = 13971313762560.

The previous prime is 40235444453143. The next prime is 40235444453209.

40235444453204 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40235444453209) 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, 14473214 + ... + 17027765.

Almost surely, 240235444453204 is an apocalyptic number.

40235444453204 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40235444453204 is an abundant number, since it is smaller than the sum of its proper divisors (58304661143596).

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

40235444453204 is a wasteful number, since it uses less digits than its factorization.

40235444453204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31501054 (or 31501041 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 44.

It can be divided in two parts, 4023544 and 4453204, that added together give a palindrome (8476748).

The spelling of 40235444453204 in words is "forty trillion, two hundred thirty-five billion, four hundred forty-four million, four hundred fifty-three thousand, two hundred four".

Divisors: 1 2 4 7 11 13 14 22 26 28 29 44 52 58 77 91 116 121 143 154 182 203 242 286 308 319 364 377 406 484 572 638 754 812 847 1001 1276 1508 1573 1694 2002 2233 2639 3146 3388 3509 4004 4147 4466 5278 6292 7018 8294 8932 10556 11011 14036 16588 22022 24563 29029 44044 45617 49126 58058 91234 98252 116116 182468 319319 638638 1277276 31500979 63001958 126003916 220506853 346510769 409512727 441013706 693021538 819025454 882027412 913528391 1386043076 1638050908 1827056782 2425575383 2866589089 3654113564 3811618459 4504639997 4851150766 5733178178 6394698737 7623236918 9009279994 9702301532 10048812301 11466356356 11875869083 12789397474 15246473836 18018559988 20097624602 23751738166 25578794948 26681329213 31532479979 40195249204 47503476332 49551039967 53362658426 63064959958 70341686107 83131083581 99102079934 106725316852 110536935311 126129919916 130634559913 140683372214 166262167162 198204159868 221073870622 261269119826 281366744428 332524334324 346857279769 442147741244 522538239652 693714559538 773758547177 914441919391 1387429119076 1436980159043 1547517094354 1828883838782 2873960318086 3095034188708 3657767677564 5747920636172 10058861113301 20117722226602 40235444453204