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120434355542052 = 22324266778407171
BaseRepresentation
bin11011011000100011001110…
…111110110001100000100100
3120210102102010022100202202200
4123120203032332301200210
5111241144030004321202
61104050440143334500
734240044413316306
oct3330431676614044
9523372108322680
10120434355542052
1135412a17a93872
1211610b99bb1430
135227bac5c8406
1421a50a7d01976
15ddcb9222de1c
hex6d88cefb1824

120434355542052 has 36 divisors (see below), whose sum is σ = 304438426555536. Its totient is φ = 40143843782640.

The previous prime is 120434355542041. The next prime is 120434355542069. The reversal of 120434355542052 is 250245553434021.

120434355542052 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 3 + 4 + 3 + 55 + 542 + 0 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 120434355541989 and 120434355542007.

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 11 ways as a sum of consecutive naturals, for example, 37667574 + ... + 40739597.

It is an arithmetic number, because the mean of its divisors is an integer number (8456622959876).

Almost surely, 2120434355542052 is an apocalyptic number.

120434355542052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120434355542052 is an abundant number, since it is smaller than the sum of its proper divisors (184004071013484).

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

120434355542052 is a wasteful number, since it uses less digits than its factorization.

120434355542052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78449848 (or 78449843 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

The spelling of 120434355542052 in words is "one hundred twenty trillion, four hundred thirty-four billion, three hundred fifty-five million, five hundred forty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 42667 85334 128001 170668 256002 384003 512004 768006 1536012 78407171 156814342 235221513 313628684 470443026 705664539 940886052 1411329078 2822658156 3345398765057 6690797530114 10036196295171 13381595060228 20072392590342 30108588885513 40144785180684 60217177771026 120434355542052