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120716165045340 = 223251739449727139
BaseRepresentation
bin11011011100101001101100…
…001000101101110001011100
3120211102100112002122211010100
4123130221230020231301130
5111310303201222422330
61104424123551141100
734266312050502564
oct3334515410556134
9524370462584110
10120716165045340
1135511490116707
1211657727514790
1352486408b8ba7
1421b499d1c9da4
15de5187956060
hex6dca6c22dc5c

120716165045340 has 72 divisors (see below), whose sum is σ = 387711918331920. Its totient is φ = 30297390441984.

The previous prime is 120716165045327. The next prime is 120716165045381. The reversal of 120716165045340 is 43540561617021.

It is a happy number.

120716165045340 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 1 + 61 + 6 + 50 + 4 + 534 + 0 = 666.

120716165045340 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19724860510 + ... + 19724866629.

It is an arithmetic number, because the mean of its divisors is an integer number (5384887754610).

Almost surely, 2120716165045340 is an apocalyptic number.

120716165045340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120716165045340 is an abundant number, since it is smaller than the sum of its proper divisors (266995753286580).

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

120716165045340 is a wasteful number, since it uses less digits than its factorization.

120716165045340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39449727171 (or 39449727166 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 120716165045340 in words is "one hundred twenty trillion, seven hundred sixteen billion, one hundred sixty-five million, forty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 39449727139 78899454278 118349181417 157798908556 197248635695 236698362834 355047544251 394497271390 473396725668 591745907085 670645361363 710095088502 788994542780 1183491814170 1341290722726 1420190177004 1775237721255 2011936084089 2366983628340 2682581445452 3353226806815 3550475442510 4023872168178 6035808252267 6706453613630 7100950885020 8047744336356 10059680420445 12071616504534 13412907227260 20119360840890 24143233009068 30179041261335 40238721681780 60358082522670 120716165045340