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442200013240 = 23547419561367
BaseRepresentation
bin1100110111101010010…
…11001011100110111000
31120021101200100011022011
412123311023023212320
524221111200410430
6535051024535304
743643062044406
oct6336513134670
91507350304264
10442200013240
111605994199a7
127184ba81534
133291242828b
141758ca12476
15b78160122a
hex66f52cb9b8

442200013240 has 64 divisors (see below), whose sum is σ = 1018546099200. Its totient is φ = 172703127168.

The previous prime is 442200013237. The next prime is 442200013273. The reversal of 442200013240 is 42310002244.

It is a happy number.

It is a congruent 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, 507037 + ... + 1068403.

It is an arithmetic number, because the mean of its divisors is an integer number (15914782800).

Almost surely, 2442200013240 is an apocalyptic number.

442200013240 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 442200013240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509273049600).

442200013240 is an abundant number, since it is smaller than the sum of its proper divisors (576346085960).

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

442200013240 is a wasteful number, since it uses less digits than its factorization.

442200013240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561844 (or 561840 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 442200013240 its reverse (42310002244), we get a palindrome (484510015484).

The spelling of 442200013240 in words is "four hundred forty-two billion, two hundred million, thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 419 470 838 940 1676 1880 2095 3352 4190 8380 16760 19693 39386 78772 98465 157544 196930 393860 561367 787720 1122734 2245468 2806835 4490936 5613670 11227340 22454680 26384249 52768498 105536996 131921245 211073992 235212773 263842490 470425546 527684980 940851092 1055369960 1176063865 1881702184 2352127730 4704255460 9408510920 11055000331 22110000662 44220001324 55275001655 88440002648 110550003310 221100006620 442200013240