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442917342090 = 232532031536467
BaseRepresentation
bin1100111000111111110…
…11100100101110001010
31120100020200010020111100
412130133323210232022
524224043314421330
6535250131442230
743666622201226
oct6343773445612
91510220106440
10442917342090
11160927324763
1271a10156376
13329c7c24012
1417619dbb786
15b7c4598060
hex671fee4b8a

442917342090 has 48 divisors (see below), whose sum is σ = 1151945372448. Its totient is φ = 118074339168.

The previous prime is 442917342079. The next prime is 442917342143. The reversal of 442917342090 is 90243719244.

442917342090 is a `hidden beast` number, since 4 + 429 + 17 + 3 + 4 + 209 + 0 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 479964 + ... + 1056503.

It is an arithmetic number, because the mean of its divisors is an integer number (23998861926).

Almost surely, 2442917342090 is an apocalyptic number.

442917342090 is an abundant number, since it is smaller than the sum of its proper divisors (709028030358).

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

442917342090 is a wasteful number, since it uses less digits than its factorization.

442917342090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539683 (or 1539680 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 442917342090 in words is "four hundred forty-two billion, nine hundred seventeen million, three hundred forty-two thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 3203 6406 9609 16015 19218 28827 32030 48045 57654 96090 144135 288270 1536467 3072934 4609401 7682335 9218802 13828203 15364670 23047005 27656406 46094010 69141015 138282030 4921303801 9842607602 14763911403 24606519005 29527822806 44291734209 49213038010 73819557015 88583468418 147639114030 221458671045 442917342090