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140512275288 = 23357112932369
BaseRepresentation
bin1000001011011100101…
…1110010101101011000
3111102200112122011100000
42002313023302231120
54300232120302123
6144314521413000
713103011430160
oct2026713625530
9442615564300
10140512275288
1154655575150
122329533a160
1310333a54478
146b2d69b5a0
1539c5bb1b43
hex20b72f2b58

140512275288 has 384 divisors, whose sum is σ = 509011776000. Its totient is φ = 35237099520.

The previous prime is 140512275251. The next prime is 140512275307. The reversal of 140512275288 is 882572215041.

140512275288 is a `hidden beast` number, since 1 + 4 + 0 + 512 + 2 + 7 + 52 + 88 = 666.

140512275288 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-2 number, since 2×1405122752882 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4324768 + ... + 4357136.

It is an arithmetic number, because the mean of its divisors is an integer number (1325551500).

Almost surely, 2140512275288 is an apocalyptic number.

140512275288 is a gapful number since it is divisible by the number (18) 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 140512275288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254505888000).

140512275288 is an abundant number, since it is smaller than the sum of its proper divisors (368499500712).

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

140512275288 is a wasteful number, since it uses less digits than its factorization.

140512275288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32437 (or 32421 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 140512275288 in words is "one hundred forty billion, five hundred twelve million, two hundred seventy-five thousand, two hundred eighty-eight".