Search a number
-
+
140590809996000 = 25353721323893637
BaseRepresentation
bin11111111101110111011001…
…010010011101101011100000
3200102210100110021111000120220
4133331313121102131223200
5121411414434324333000
61215002305415403040
741420231222300400
oct3775673122355340
9612710407430526
10140590809996000
1140884256058811
1213927535983480
13605a86c423400
1426a08bac1a800
15113c15264a1a0
hex7fddd949dae0

140590809996000 has 1728 divisors, whose sum is σ = 581806255343040. Its totient is φ = 29578726195200.

The previous prime is 140590809995989. The next prime is 140590809996017. The reversal of 140590809996000 is 699908095041.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 38655706182 + ... + 38655709818.

It is an arithmetic number, because the mean of its divisors is an integer number (336693434805).

Almost surely, 2140590809996000 is an apocalyptic number.

140590809996000 is a gapful number since it is divisible by the number (10) 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 140590809996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290903127671520).

140590809996000 is an abundant number, since it is smaller than the sum of its proper divisors (441215445347040).

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

140590809996000 is a wasteful number, since it uses less digits than its factorization.

140590809996000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4094 (or 4056 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 60.

The spelling of 140590809996000 in words is "one hundred forty trillion, five hundred ninety billion, eight hundred nine million, nine hundred ninety-six thousand".