Search a number
-
+
420333311020 = 225722313463591
BaseRepresentation
bin1100001110111011101…
…00010101010000101100
31111011221202021121000011
412013131310111100230
523341320311423040
6521033133343004
742240152123110
oct6073564252054
91434852247004
10420333311020
11152298217977
1269568937a64
13308390a7b1c
14164b684d740
15ae01a533ea
hex61ddd1542c

420333311020 has 48 divisors (see below), whose sum is σ = 1013323788288. Its totient is φ = 143468015040.

The previous prime is 420333310973. The next prime is 420333311023. The reversal of 420333311020 is 20113333024.

It is a junction number, because it is equal to n+sod(n) for n = 420333310982 and 420333311000.

It is not an unprimeable number, because it can be changed into a prime (420333311023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6700576 + ... + 6763015.

It is an arithmetic number, because the mean of its divisors is an integer number (21110912256).

Almost surely, 2420333311020 is an apocalyptic number.

It is an amenable number.

420333311020 is an abundant number, since it is smaller than the sum of its proper divisors (592990477268).

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

420333311020 is a wasteful number, since it uses less digits than its factorization.

420333311020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13463830 (or 13463828 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 420333311020 its reverse (20113333024), we get a palindrome (440446644044).

The spelling of 420333311020 in words is "four hundred twenty billion, three hundred thirty-three million, three hundred eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 223 446 892 1115 1561 2230 3122 4460 6244 7805 15610 31220 13463591 26927182 53854364 67317955 94245137 134635910 188490274 269271820 376980548 471225685 942451370 1884902740 3002380793 6004761586 12009523172 15011903965 21016665551 30023807930 42033331102 60047615860 84066662204 105083327755 210166655510 420333311020