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168140502540 = 22335311371301
BaseRepresentation
bin1001110010010111110…
…1000111011000001100
3121002000000000112011000
42130211331013120030
510223322432040130
6205124230300300
715101451455523
oct2344575073014
9532000015130
10168140502540
1165342a2620a
1228705ab7690
1312b17934a2a
1481d0b134ba
15459148d260
hex2725f4760c

168140502540 has 48 divisors (see below), whose sum is σ = 523103787360. Its totient is φ = 44837467200.

The previous prime is 168140502529. The next prime is 168140502557. The reversal of 168140502540 is 45205041861.

It is a happy number.

168140502540 is a `hidden beast` number, since 1 + 6 + 8 + 140 + 502 + 5 + 4 + 0 = 666.

168140502540 is digitally balanced in base 2, 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 168140502495 and 168140502504.

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 15 ways as a sum of consecutive naturals, for example, 155685111 + ... + 155686190.

It is an arithmetic number, because the mean of its divisors is an integer number (10897995570).

Almost surely, 2168140502540 is an apocalyptic number.

168140502540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

168140502540 is an abundant number, since it is smaller than the sum of its proper divisors (354963284820).

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

168140502540 is a wasteful number, since it uses less digits than its factorization.

168140502540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311371319 (or 311371311 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 168140502540 in words is "one hundred sixty-eight billion, one hundred forty million, five hundred two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 311371301 622742602 934113903 1245485204 1556856505 1868227806 2802341709 3113713010 3736455612 4670569515 5604683418 6227426020 8407025127 9341139030 11209366836 14011708545 16814050254 18682278060 28023417090 33628100508 42035125635 56046834180 84070251270 168140502540