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442103033605356 = 22341937070028683
BaseRepresentation
bin110010010000101110010001…
…0010001011010110011101100
32010222100122012112221102220000
41210201130202101122303230
5430421404003100332411
64204135155124024300
7162056614211501214
oct14441344221326354
92128318175842800
10442103033605356
1111895a930960212
1241702643532090
1315c8c1a2508866
147b25c884a7244
15361a1ab543956
hex192172245acec

442103033605356 has 60 divisors (see below), whose sum is σ = 1161732973297512. Its totient is φ = 146604114749952.

The previous prime is 442103033605319. The next prime is 442103033605361. The reversal of 442103033605356 is 653506330301244.

442103033605356 is a `hidden beast` number, since 4 + 4 + 2 + 1 + 0 + 3 + 0 + 3 + 3 + 605 + 35 + 6 = 666.

It is a super-4 number, since 4×4421030336053564 (a number of 60 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3534951810 + ... + 3535076873.

Almost surely, 2442103033605356 is an apocalyptic number.

It is an amenable number.

442103033605356 is an abundant number, since it is smaller than the sum of its proper divisors (719629939692156).

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

442103033605356 is a wasteful number, since it uses less digits than its factorization.

442103033605356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7070028892 (or 7070028881 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 45.

The spelling of 442103033605356 in words is "four hundred forty-two trillion, one hundred three billion, thirty-three million, six hundred five thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 193 324 386 579 772 1158 1737 2316 3474 5211 6948 10422 15633 20844 31266 62532 7070028683 14140057366 21210086049 28280114732 42420172098 63630258147 84840344196 127260516294 190890774441 254521032588 381781548882 572672323323 763563097764 1145344646646 1364515535819 2290689293292 2729031071638 4093546607457 5458062143276 8187093214914 12280639822371 16374186429828 24561279644742 36841919467113 49122559289484 73683838934226 110525758401339 147367677868452 221051516802678 442103033605356