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442100216153346 = 23443429533872329
BaseRepresentation
bin110010010000101100111101…
…0010101101100010100000010
32010222100100221012102001022120
41210201121322111230110002
5430421332220313401341
64204134011400145110
7162056454330525342
oct14441317225542402
92128310835361276
10442100216153346
11118959715542883
1241701b97a68196
1315c8bb438aabaa
147b25a9c21cd22
15361a09400d066
hex192167a56c502

442100216153346 has 32 divisors (see below), whose sum is σ = 886217230704960. Its totient is φ = 147030621314304.

The previous prime is 442100216153327. The next prime is 442100216153369. The reversal of 442100216153346 is 643351612001244.

It is a super-2 number, since 2×4421002161533462 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442100216153298 and 442100216153307.

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, 112232910 + ... + 116105238.

It is an arithmetic number, because the mean of its divisors is an integer number (27694288459530).

Almost surely, 2442100216153346 is an apocalyptic number.

442100216153346 is an abundant number, since it is smaller than the sum of its proper divisors (444117014551614).

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

442100216153346 is a wasteful number, since it uses less digits than its factorization.

442100216153346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3915730.

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 442100216153346 in words is "four hundred forty-two trillion, one hundred billion, two hundred sixteen million, one hundred fifty-three thousand, three hundred forty-six".

Divisors: 1 2 3 6 443 886 1329 2658 42953 85906 128859 257718 3872329 7744658 11616987 19028179 23233974 38056358 57084537 114169074 1715441747 3430883494 5146325241 10292650482 166328147537 332656295074 498984442611 997968885222 73683369358891 147366738717782 221050108076673 442100216153346