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168140503944 = 23337231261271
BaseRepresentation
bin1001110010010111110…
…1000111101110001000
3121002000000000121002000
42130211331013232020
510223322432111234
6205124230311000
715101451462600
oct2344575075610
9532000017060
10168140503944
1165342a27276
1228705ab8460
1312b1793556a
1481d0b13c00
15459148d899
hex2725f47b88

168140503944 has 576 divisors, whose sum is σ = 572711558400. Its totient is φ = 45559584000.

The previous prime is 168140503903. The next prime is 168140503969. The reversal of 168140503944 is 449305041861.

168140503944 is a `hidden beast` number, since 1 + 68 + 1 + 40 + 503 + 9 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 168140503944.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 620444529 + ... + 620444799.

It is an arithmetic number, because the mean of its divisors is an integer number (994290900).

Almost surely, 2168140503944 is an apocalyptic number.

168140503944 is a gapful number since it is divisible by the number (14) 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 168140503944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286355779200).

168140503944 is an abundant number, since it is smaller than the sum of its proper divisors (404571054456).

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

168140503944 is a wasteful number, since it uses less digits than its factorization.

168140503944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 168140503944 in words is "one hundred sixty-eight billion, one hundred forty million, five hundred three thousand, nine hundred forty-four".