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140114214192 = 2437975149201
BaseRepresentation
bin1000001001111101110…
…1010011110100110000
3111101122210121120011110
42002133131103310300
54243423214323232
6144211221513320
713060106112201
oct2023735236460
9441583546143
10140114214192
1154470903a37
12231a3b72840
131029c441564
146ad287d5a8
1539a0c82acc
hex209f753d30

140114214192 has 80 divisors (see below), whose sum is σ = 367039047680. Its totient is φ = 46051200000.

The previous prime is 140114214187. The next prime is 140114214193. The reversal of 140114214192 is 291412411041.

140114214192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (140114214193) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2823192 + ... + 2872392.

It is an arithmetic number, because the mean of its divisors is an integer number (4587988096).

Almost surely, 2140114214192 is an apocalyptic number.

140114214192 is a gapful number since it is divisible by the number (12) 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 140114214192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183519523840).

140114214192 is an abundant number, since it is smaller than the sum of its proper divisors (226924833488).

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

140114214192 is a wasteful number, since it uses less digits than its factorization.

140114214192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50042 (or 50036 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 140114214192 in words is "one hundred forty billion, one hundred fourteen million, two hundred fourteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 474 632 751 948 1264 1502 1896 2253 3004 3792 4506 6008 9012 12016 18024 36048 49201 59329 98402 118658 147603 177987 196804 237316 295206 355974 393608 474632 590412 711948 787216 949264 1180824 1423896 2361648 2847792 3886879 7773758 11660637 15547516 23321274 31095032 36949951 46642548 62190064 73899902 93285096 110849853 147799804 186570192 221699706 295599608 443399412 591199216 886798824 1773597648 2919046129 5838092258 8757138387 11676184516 17514276774 23352369032 35028553548 46704738064 70057107096 140114214192