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420202004000 = 2553139755759
BaseRepresentation
bin1100001110101011111…
…11011011111000100000
31111011121121012111122012
412013111333123320200
523341033203112000
6521012123132052
742233666046602
oct6072577337040
91434547174565
10420202004000
11152230092a79
1269530974028
1330817b2246c
14164a322d172
15ade5267735
hex61d5fdbe20

420202004000 has 96 divisors (see below), whose sum is σ = 1039865299200. Its totient is φ = 166871366400.

The previous prime is 420202003979. The next prime is 420202004039. The reversal of 420202004000 is 400202024.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178121 + ... + 933879.

It is an arithmetic number, because the mean of its divisors is an integer number (10831930200).

Almost surely, 2420202004000 is an apocalyptic number.

420202004000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420202004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519932649600).

420202004000 is an abundant number, since it is smaller than the sum of its proper divisors (619663295200).

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

420202004000 is a wasteful number, since it uses less digits than its factorization.

420202004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755923 (or 755905 counting only the distinct ones).

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

Adding to 420202004000 its reverse (400202024), we get a palindrome (420602206024).

The spelling of 420202004000 in words is "four hundred twenty billion, two hundred two million, four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 139 160 200 250 278 400 500 556 695 800 1000 1112 1390 2000 2224 2780 3475 4000 4448 5560 6950 11120 13900 17375 22240 27800 34750 55600 69500 111200 139000 278000 556000 755759 1511518 3023036 3778795 6046072 7557590 12092144 15115180 18893975 24184288 30230360 37787950 60460720 75575900 94469875 105050501 120921440 151151800 188939750 210101002 302303600 377879500 420202004 525252505 604607200 755759000 840404008 1050505010 1511518000 1680808016 2101010020 2626262525 3023036000 3361616032 4202020040 5252525050 8404040080 10505050100 13131312625 16808080160 21010100200 26262625250 42020200400 52525250500 84040400800 105050501000 210101002000 420202004000