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136072317841440 = 25351032752271801
BaseRepresentation
bin11110111100000111001110…
…001010110011000000100000
3122211210101102210022211020220
4132330013032022303000200
5120313402101331411230
61201222432043203040
740442620612552551
oct3674071612630040
9584711383284226
10136072317841440
113a3a1a45029292
1213317887b16480
135ac0745310526
142585d14758328
1510ae847389d10
hex7bc1ce2b3020

136072317841440 has 96 divisors (see below), whose sum is σ = 432789236320896. Its totient is φ = 35933660620800.

The previous prime is 136072317841423. The next prime is 136072317841501. The reversal of 136072317841440 is 44148713270631.

It is a tau number, because it is divible by the number of its divisors (96).

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, 1376086461 + ... + 1376185340.

It is an arithmetic number, because the mean of its divisors is an integer number (4508221211676).

Almost surely, 2136072317841440 is an apocalyptic number.

136072317841440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136072317841440 is an abundant number, since it is smaller than the sum of its proper divisors (296716918479456).

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

136072317841440 is a wasteful number, since it uses less digits than its factorization.

136072317841440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752271922 (or 2752271914 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 136072317841440 in words is "one hundred thirty-six trillion, seventy-two billion, three hundred seventeen million, eight hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 103 120 160 206 240 309 412 480 515 618 824 1030 1236 1545 1648 2060 2472 3090 3296 4120 4944 6180 8240 9888 12360 16480 24720 49440 2752271801 5504543602 8256815403 11009087204 13761359005 16513630806 22018174408 27522718010 33027261612 41284077015 44036348816 55045436020 66054523224 82568154030 88072697632 110090872040 132109046448 165136308060 220181744080 264218092896 283483995503 330272616120 440363488160 566967991006 660545232240 850451986509 1133935982012 1321090464480 1417419977515 1700903973018 2267871964024 2834839955030 3401807946036 4252259932545 4535743928048 5669679910060 6803615892072 8504519865090 9071487856096 11339359820120 13607231784144 17009039730180 22678719640240 27214463568288 34018079460360 45357439280480 68036158920720 136072317841440