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270140656937272 = 2311193171337217823
BaseRepresentation
bin111101011011000100000101…
…111001010110100100111000
31022102111012020212002120122021
4331123010011321112210320
5240401441031133443042
62354312523215204224
7110621006211236062
oct7533040571264470
91272435225076567
10270140656937272
117909101131a280
122636b09b516674
13b79720199a344
144a9cc40042732
152136ea22be867
hexf5b105e56938

270140656937272 has 256 divisors, whose sum is σ = 610671152332800. Its totient is φ = 110660546304000.

The previous prime is 270140656937269. The next prime is 270140656937311. The reversal of 270140656937272 is 272739656041072.

270140656937272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2701406569372723 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 270140656937272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1240075353 + ... + 1240293175.

It is an arithmetic number, because the mean of its divisors is an integer number (2385434188800).

Almost surely, 2270140656937272 is an apocalyptic number.

270140656937272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270140656937272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305335576166400).

270140656937272 is an abundant number, since it is smaller than the sum of its proper divisors (340530495395528).

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

270140656937272 is a wasteful number, since it uses less digits than its factorization.

270140656937272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218298 (or 218294 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 61.

The spelling of 270140656937272 in words is "two hundred seventy trillion, one hundred forty billion, six hundred fifty-six million, nine hundred thirty-seven thousand, two hundred seventy-two".