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432214314004020 = 223516974244886211
BaseRepresentation
bin110001001000110001011110…
…0101001110010111000110100
32002200100021200200102011012110
41202101202330221302320310
5423122344403341112040
64131124303104051020
7160016311422656022
oct14221427451627064
92080307620364173
10432214314004020
111157980744a6819
1240586043303a70
1315722833c113a2
1478a33da619712
1534e7d45d15980
hex18918bca72e34

432214314004020 has 48 divisors (see below), whose sum is σ = 1210913220379968. Its totient is φ = 115189232194560.

The previous prime is 432214314004019. The next prime is 432214314004027. The reversal of 432214314004020 is 20400413412234.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432214314004027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2122341286 + ... + 2122544925.

It is an arithmetic number, because the mean of its divisors is an integer number (25227358757916).

Almost surely, 2432214314004020 is an apocalyptic number.

It is an amenable number.

432214314004020 is an abundant number, since it is smaller than the sum of its proper divisors (778698906375948).

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

432214314004020 is a wasteful number, since it uses less digits than its factorization.

432214314004020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4244887920 (or 4244887918 counting only the distinct ones).

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

Adding to 432214314004020 its reverse (20400413412234), we get a palindrome (452614727416254).

The spelling of 432214314004020 in words is "four hundred thirty-two trillion, two hundred fourteen billion, three hundred fourteen million, four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1697 3394 5091 6788 8485 10182 16970 20364 25455 33940 50910 101820 4244886211 8489772422 12734658633 16979544844 21224431055 25469317266 42448862110 50938634532 63673293165 84897724220 127346586330 254693172660 7203571900067 14407143800134 21610715700201 28814287600268 36017859500335 43221431400402 72035719000670 86442862800804 108053578501005 144071438001340 216107157002010 432214314004020