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442212405110032 = 24316713306824901
BaseRepresentation
bin110010010001100001001100…
…1010100100110010100010000
32010222202002111211201112202111
41210203002121110212110100
5430430202001202010112
64204301324022555104
7162100535432111614
oct14443023124462420
92128662454645674
10442212405110032
111189a225625a4a7
124171b887898a94
1315c995b2740a2b
147b2b2a2007344
15361ce5d3905a7
hex1923099526510

442212405110032 has 40 divisors (see below), whose sum is σ = 897625180589312. Its totient is φ = 210780106416000.

The previous prime is 442212405110027. The next prime is 442212405110041. The reversal of 442212405110032 is 230011504212244.

It is a super-2 number, since 2×4422124051100322 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 442212405109976 and 442212405110003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6653379219 + ... + 6653445682.

Almost surely, 2442212405110032 is an apocalyptic number.

It is an amenable number.

442212405110032 is an abundant number, since it is smaller than the sum of its proper divisors (455412775479280).

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

442212405110032 is a wasteful number, since it uses less digits than its factorization.

442212405110032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13306825007 (or 13306825001 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 442212405110032 its reverse (230011504212244), we get a palindrome (672223909322276).

The spelling of 442212405110032 in words is "four hundred forty-two trillion, two hundred twelve billion, four hundred five million, one hundred ten thousand, thirty-two".

Divisors: 1 2 4 8 16 31 62 67 124 134 248 268 496 536 1072 2077 4154 8308 16616 33232 13306824901 26613649802 53227299604 106454599208 212909198416 412511571931 825023143862 891557268367 1650046287724 1783114536734 3300092575448 3566229073468 6600185150896 7132458146936 14264916293872 27638275319377 55276550638754 110553101277508 221106202555016 442212405110032