Search a number
-
+
404324435341020 = 22354361242116339
BaseRepresentation
bin101101111101110110001111…
…0010101111010111011011100
31222000121001001002021210010110
41123323230132111322323130
5410443422420421403040
63551532025324210020
7151110322266555315
oct13373543625727334
91860531032253113
10404324435341020
11107915037040977
123942094b399910
131447b827707a4c
1471bb59b08960c
1531b2616acd980
hex16fbb1e57aedc

404324435341020 has 144 divisors (see below), whose sum is σ = 1177738636314240. Its totient is φ = 103585975637760.

The previous prime is 404324435340989. The next prime is 404324435341033. The reversal of 404324435341020 is 20143534423404.

It is a self number, because there is not a number n which added to its sum of digits gives 404324435341020.

It is a congruent number.

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, 11457990 + ... + 30658349.

It is an arithmetic number, because the mean of its divisors is an integer number (8178740529960).

Almost surely, 2404324435341020 is an apocalyptic number.

It is an amenable number.

404324435341020 is an abundant number, since it is smaller than the sum of its proper divisors (773414200973220).

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

404324435341020 is a wasteful number, since it uses less digits than its factorization.

404324435341020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42116516 (or 42116453 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 39.

Adding to 404324435341020 its reverse (20143534423404), we get a palindrome (424467969764424).

The spelling of 404324435341020 in words is "four hundred four trillion, three hundred twenty-four billion, four hundred thirty-five million, three hundred forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 61 86 122 129 172 183 215 244 258 305 366 430 516 610 645 732 860 915 1220 1290 1830 2580 2623 3660 3721 5246 7442 7869 10492 11163 13115 14884 15738 18605 22326 26230 31476 37210 39345 44652 52460 55815 74420 78690 111630 157380 160003 223260 320006 480009 640012 800015 960018 1600030 1920036 2400045 3200060 4800090 9600180 42116339 84232678 126349017 168465356 210581695 252698034 421163390 505396068 631745085 842326780 1263490170 1811002577 2526980340 2569096679 3622005154 5138193358 5433007731 7244010308 7707290037 9055012885 10276386716 10866015462 12845483395 15414580074 18110025770 21732030924 25690966790 27165038655 30829160148 36220051540 38536450185 51381933580 54330077310 77072900370 108660154620 110471157197 154145800740 156714897419 220942314394 313429794838 331413471591 441884628788 470144692257 552355785985 626859589676 662826943182 783574487095 940289384514 1104711571970 1325653886364 1567148974190 1657067357955 1880578769028 2209423143940 2350723461285 3134297948380 3314134715910 4701446922570 6628269431820 6738740589017 9402893845140 13477481178034 20216221767051 26954962356068 33693702945085 40432443534102 67387405890170 80864887068204 101081108835255 134774811780340 202162217670510 404324435341020