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320104400420 = 225722511015753
BaseRepresentation
bin1001010100001111011…
…01011000011000100100
31010121020121220101110002
410222013231120120210
520221033211303140
6403015352120432
732061325336550
oct4520755303044
91117217811402
10320104400420
11113834652962
1252056396118
132425502ac2c
14116c9242860
1584d769d415
hex4a87b58624

320104400420 has 48 divisors (see below), whose sum is σ = 768592610688. Its totient is φ = 109701216000.

The previous prime is 320104400401. The next prime is 320104400443. The reversal of 320104400420 is 24004401023.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 320104400392 and 320104400401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192737 + ... + 823016.

It is an arithmetic number, because the mean of its divisors is an integer number (16012346056).

Almost surely, 2320104400420 is an apocalyptic number.

It is an amenable number.

320104400420 is an abundant number, since it is smaller than the sum of its proper divisors (448488210268).

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

320104400420 is a wasteful number, since it uses less digits than its factorization.

320104400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018020 (or 1018018 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 320104400420 its reverse (24004401023), we get a palindrome (344108801443).

The spelling of 320104400420 in words is "three hundred twenty billion, one hundred four million, four hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 2251 4502 9004 11255 15757 22510 31514 45020 63028 78785 157570 315140 1015753 2031506 4063012 5078765 7110271 10157530 14220542 20315060 28441084 35551355 71102710 142205420 2286460003 4572920006 9145840012 11432300015 16005220021 22864600030 32010440042 45729200060 64020880084 80026100105 160052200210 320104400420