Search a number
-
+
140760378540 = 22325827945589
BaseRepresentation
bin1000001100010111111…
…0001110110010101100
3111110022211111010000100
42003011332032302230
54301234124103130
6144355303231100
713112113322235
oct2030576166254
9443284433010
10140760378540
1154772622861
1223344448490
1310373281722
146b5460208c
1539dc86dc60
hex20c5f8ecac

140760378540 has 72 divisors (see below), whose sum is σ = 427489891920. Its totient is φ = 37490673024.

The previous prime is 140760378491. The next prime is 140760378581. The reversal of 140760378540 is 45873067041.

140760378540 is a `hidden beast` number, since 1 + 4 + 0 + 76 + 0 + 37 + 8 + 540 = 666.

140760378540 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 (45).

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 23 ways as a sum of consecutive naturals, for example, 323935 + ... + 621654.

It is an arithmetic number, because the mean of its divisors is an integer number (5937359610).

Almost surely, 2140760378540 is an apocalyptic number.

140760378540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140760378540 is an abundant number, since it is smaller than the sum of its proper divisors (286729513380).

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

140760378540 is a wasteful number, since it uses less digits than its factorization.

140760378540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946431 (or 946426 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 140760378540 in words is "one hundred forty billion, seven hundred sixty million, three hundred seventy-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 827 1654 2481 3308 4135 4962 7443 8270 9924 12405 14886 16540 24810 29772 37215 49620 74430 148860 945589 1891178 2836767 3782356 4727945 5673534 8510301 9455890 11347068 14183835 17020602 18911780 28367670 34041204 42551505 56735340 85103010 170206020 782002103 1564004206 2346006309 3128008412 3910010515 4692012618 7038018927 7820021030 9384025236 11730031545 14076037854 15640042060 23460063090 28152075708 35190094635 46920126180 70380189270 140760378540