Search a number
-
+
404341014403020 = 223516745427888313
BaseRepresentation
bin101101111101111101111101…
…0100010000001011111001100
31222000122121211111201101122210
41123323323322202001133030
5410444210344141344040
63551543410411110420
7151111450162351122
oct13373737242013714
91860577744641583
10404341014403020
11107921074533602
1239423bb7742410
131448026a4384c6
1471bc2d0cb3912
1531b2c87358480
hex16fbefa8817cc

404341014403020 has 96 divisors (see below), whose sum is σ = 1138960564535808. Its totient is φ = 107176136182272.

The previous prime is 404341014402991. The next prime is 404341014403031. The reversal of 404341014403020 is 20304410143404.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 454734384 + ... + 455622696.

It is an arithmetic number, because the mean of its divisors is an integer number (11864172547248).

Almost surely, 2404341014403020 is an apocalyptic number.

It is an amenable number.

404341014403020 is an abundant number, since it is smaller than the sum of its proper divisors (734619550132788).

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

404341014403020 is a wasteful number, since it uses less digits than its factorization.

404341014403020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933919 (or 933917 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 404341014403020 its reverse (20304410143404), we get a palindrome (424645424546424).

The spelling of 404341014403020 in words is "four hundred four trillion, three hundred forty-one billion, fourteen million, four hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 334 501 668 835 1002 1670 2004 2505 3340 5010 10020 45427 90854 136281 181708 227135 272562 454270 545124 681405 888313 908540 1362810 1776626 2664939 2725620 3553252 4441565 5329878 7586309 8883130 10659756 13324695 15172618 17766260 22758927 26649390 30345236 37931545 45517854 53298780 75863090 91035708 113794635 148348271 151726180 227589270 296696542 445044813 455178540 593393084 741741355 890089626 1483482710 1780179252 2225224065 2966965420 4450448130 8900896260 40353394651 80706789302 121060183953 161413578604 201766973255 242120367906 403533946510 484240735812 605300919765 807067893020 1210601839530 2421203679060 6739016906717 13478033813434 20217050720151 26956067626868 33695084533585 40434101440302 67390169067170 80868202880604 101085253600755 134780338134340 202170507201510 404341014403020