Search a number
-
+
140431486821120 = 28345111737195761
BaseRepresentation
bin11111111011100011000000…
…111000110010001100000000
3200102020010012202211011010000
4133323203000320302030000
5121401312141111233440
61214401200123040000
741402561104534305
oct3773430070621400
9612203182734100
10140431486821120
11408227282a6360
1213900690970000
13604882b470631
142696cc516b0ac
151137e2a303730
hex7fb8c0e32300

140431486821120 has 1440 divisors, whose sum is σ = 596105682613056. Its totient is φ = 31175265484800.

The previous prime is 140431486821007. The next prime is 140431486821139. The reversal of 140431486821120 is 21128684134041.

140431486821120 is a `hidden beast` number, since 1 + 4 + 0 + 43 + 1 + 486 + 8 + 2 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 717264040 + ... + 717459800.

Almost surely, 2140431486821120 is an apocalyptic number.

140431486821120 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 140431486821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298052841306528).

140431486821120 is an abundant number, since it is smaller than the sum of its proper divisors (455674195791936).

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

140431486821120 is a wasteful number, since it uses less digits than its factorization.

140431486821120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195859 (or 195836 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 140431486821120 in words is "one hundred forty trillion, four hundred thirty-one billion, four hundred eighty-six million, eight hundred twenty-one thousand, one hundred twenty".