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442440200233434 = 231337369122007621
BaseRepresentation
bin110010010011001011010001…
…0111110000010000111011010
32011000112212111021102210112210
41210212112202332002013122
5430442420012224432214
64204554115543015550
7162123151420525044
oct14446264276020732
92130485437383483
10442440200233434
11118a7a920704267
1241757a5ba3a5b6
1315cb4c163a6a90
147b38311786a94
153623d41aabb59
hex19265a2f821da

442440200233434 has 64 divisors (see below), whose sum is σ = 956885770608768. Its totient is φ = 135573981638400.

The previous prime is 442440200233411. The next prime is 442440200233523. The reversal of 442440200233434 is 434332002044244.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 442440200233392 and 442440200233401.

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 31 ways as a sum of consecutive naturals, for example, 9100144 + ... + 31107764.

It is an arithmetic number, because the mean of its divisors is an integer number (14951340165762).

Almost surely, 2442440200233434 is an apocalyptic number.

442440200233434 is an abundant number, since it is smaller than the sum of its proper divisors (514445570375334).

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

442440200233434 is a wasteful number, since it uses less digits than its factorization.

442440200233434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22008703.

The product of its (nonzero) digits is 884736, while the sum is 39.

Adding to 442440200233434 its reverse (434332002044244), we get a palindrome (876772202277678).

The spelling of 442440200233434 in words is "four hundred forty-two trillion, four hundred forty billion, two hundred million, two hundred thirty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 78 373 691 746 1119 1382 2073 2238 4146 4849 8983 9698 14547 17966 26949 29094 53898 257743 515486 773229 1546458 3350659 6701318 10051977 20103954 22007621 44015242 66022863 132045726 286099073 572198146 858297219 1716594438 8208842633 15207266111 16417685266 24626527899 30414532222 45621798333 49253055798 91243596666 106714954229 197694459443 213429908458 320144862687 395388918886 593083378329 640289725374 1186166756658 5672310259403 11344620518806 17016930778209 34033861556418 73740033372239 147480066744478 221220100116717 442440200233434