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42020200400 = 2452139755759
BaseRepresentation
bin100111001000100110…
…010101111111010000
311000110110102100110112
4213020212111333100
51142024132403100
631145342420452
73015204544613
oct471046257720
9130413370415
1042020200400
1116903342552
128188591728
133c68780309
142068a0417a
15115e039b35
hex9c8995fd0

42020200400 has 60 divisors (see below), whose sum is σ = 101679950400. Its totient is φ = 16687136640.

The previous prime is 42020200393. The next prime is 42020200421. The reversal of 42020200400 is 400202024.

It is a happy number.

42020200400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 322280 + ... + 433479.

It is an arithmetic number, because the mean of its divisors is an integer number (1694665840).

Almost surely, 242020200400 is an apocalyptic number.

42020200400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42020200400 is an abundant number, since it is smaller than the sum of its proper divisors (59659750000).

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

42020200400 is a wasteful number, since it uses less digits than its factorization.

42020200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755916 (or 755905 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 42020200400 its reverse (400202024), we get a palindrome (42420402424).

The spelling of 42020200400 in words is "forty-two billion, twenty million, two hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 139 200 278 400 556 695 1112 1390 2224 2780 3475 5560 6950 11120 13900 27800 55600 755759 1511518 3023036 3778795 6046072 7557590 12092144 15115180 18893975 30230360 37787950 60460720 75575900 105050501 151151800 210101002 302303600 420202004 525252505 840404008 1050505010 1680808016 2101010020 2626262525 4202020040 5252525050 8404040080 10505050100 21010100200 42020200400