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42002214320 = 2451147729789
BaseRepresentation
bin100111000111100001…
…101110110110110000
311000102012120120012102
4213013201232312300
51142010031324240
631143501115532
73014565634223
oct470741566660
9130365516172
1042002214320
11168a4178320
128182558ba8
133c64b23771
1420664815ba
15115c685815
hex9c786edb0

42002214320 has 40 divisors (see below), whose sum is σ = 106532891280. Its totient is φ = 15273532160.

The previous prime is 42002214301. The next prime is 42002214337. The reversal of 42002214320 is 2341220024.

It is a tau number, because it is divible by the number of its divisors (40).

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 = 42002214292 and 42002214301.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 23864015 + ... + 23865774.

It is an arithmetic number, because the mean of its divisors is an integer number (2663322282).

Almost surely, 242002214320 is an apocalyptic number.

42002214320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42002214320 is an abundant number, since it is smaller than the sum of its proper divisors (64530676960).

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

42002214320 is a wasteful number, since it uses less digits than its factorization.

42002214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47729813 (or 47729807 counting only the distinct ones).

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

Adding to 42002214320 its reverse (2341220024), we get a palindrome (44343434344).

The spelling of 42002214320 in words is "forty-two billion, two million, two hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 47729789 95459578 190919156 238648945 381838312 477297890 525027679 763676624 954595780 1050055358 1909191560 2100110716 2625138395 3818383120 4200221432 5250276790 8400442864 10500553580 21001107160 42002214320