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442447195140 = 223252458039973
BaseRepresentation
bin1100111000000111110…
…10000110110000000100
31120022000220110022010100
412130003322012300010
524222112440221030
6535131334524100
743652153051346
oct6340372066004
91508026408110
10442447195140
111607059a8365
12718ba806630
13329516c2062
14175b3797296
15b79817a360
hex6703e86c04

442447195140 has 36 divisors (see below), whose sum is σ = 1342089825804. Its totient is φ = 117985918656.

The previous prime is 442447195129. The next prime is 442447195147. The reversal of 442447195140 is 41591744244.

442447195140 is a `hidden beast` number, since 4 + 4 + 2 + 447 + 195 + 14 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 53580212676 + 388866982464 = 231474^2 + 623592^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (442447195147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1229019807 + ... + 1229020166.

It is an arithmetic number, because the mean of its divisors is an integer number (37280272939).

Almost surely, 2442447195140 is an apocalyptic number.

It is an amenable number.

442447195140 is an abundant number, since it is smaller than the sum of its proper divisors (899642630664).

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

442447195140 is a wasteful number, since it uses less digits than its factorization.

442447195140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458039988 (or 2458039983 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 442447195140 in words is "four hundred forty-two billion, four hundred forty-seven million, one hundred ninety-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2458039973 4916079946 7374119919 9832159892 12290199865 14748239838 22122359757 24580399730 29496479676 36870599595 44244719514 49160799460 73741199190 88489439028 110611798785 147482398380 221223597570 442447195140