Search a number
-
+
405994999018540 = 225107563709475283
BaseRepresentation
bin101110001010000000001001…
…1101100100111010000101100
31222020111202001112120111011111
41130110000103230213100230
5411203310224222043130
63555251305553401404
7151342112360540611
oct13424002354472054
91866452045514144
10405994999018540
111083a956a750718
1239650673869264
1314570219797309
14723839719c508
1531e0cdd01902a
hex1714013b2742c

405994999018540 has 96 divisors (see below), whose sum is σ = 863303880418560. Its totient is φ = 160367660057856.

The previous prime is 405994999018529. The next prime is 405994999018547. The reversal of 405994999018540 is 45810999499504.

It is a Smith number, since the sum of its digits (76) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (405994999018547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 853979739 + ... + 854455021.

It is an arithmetic number, because the mean of its divisors is an integer number (8992748754360).

Almost surely, 2405994999018540 is an apocalyptic number.

It is an amenable number.

405994999018540 is an abundant number, since it is smaller than the sum of its proper divisors (457308881400020).

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

405994999018540 is a wasteful number, since it uses less digits than its factorization.

405994999018540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476671 (or 476669 counting only the distinct ones).

The product of its (nonzero) digits is 755827200, while the sum is 76.

The spelling of 405994999018540 in words is "four hundred five trillion, nine hundred ninety-four billion, nine hundred ninety-nine million, eighteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 107 214 428 535 563 709 1070 1126 1418 2140 2252 2815 2836 3545 5630 7090 11260 14180 60241 75863 120482 151726 240964 301205 303452 379315 399167 475283 602410 758630 798334 950566 1204820 1517260 1596668 1901132 1995835 2376415 3991670 4752830 7983340 9505660 42710869 50855281 85421738 101710562 170843476 203421124 213554345 254276405 267584329 336975647 427108690 508552810 535168658 673951294 854217380 1017105620 1070337316 1337921645 1347902588 1684878235 2675843290 3369756470 5351686580 6739512940 28631523203 36056394229 57263046406 72112788458 114526092812 143157616015 144225576916 180281971145 189717289261 286315232030 360563942290 379434578522 572630464060 721127884580 758869157044 948586446305 1897172892610 3794345785220 20299749950927 40599499901854 81198999803708 101498749754635 202997499509270 405994999018540