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140764236480 = 263457371223
BaseRepresentation
bin1000001100011000110…
…0111100101011000000
3111110100002202010010000
42003012030330223000
54301241121031410
6144355522040000
713112161161000
oct2030614745300
9443302663100
10140764236480
115477481833a
12233457a9000
131037400272a
146b54d28000
1539dcd81dc0
hex20c633cac0

140764236480 has 1120 divisors, whose sum is σ = 594813542400. Its totient is φ = 31579269120.

The previous prime is 140764236467. The next prime is 140764236497. The reversal of 140764236480 is 84632467041.

140764236480 is a `hidden beast` number, since 1 + 407 + 6 + 4 + 236 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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, 631229649 + ... + 631229871.

It is an arithmetic number, because the mean of its divisors is an integer number (531083520).

Almost surely, 2140764236480 is an apocalyptic number.

140764236480 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 140764236480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297406771200).

140764236480 is an abundant number, since it is smaller than the sum of its proper divisors (454049305920).

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

140764236480 is an equidigital number, since it uses as much as digits as its factorization.

140764236480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 140764236480 in words is "one hundred forty billion, seven hundred sixty-four million, two hundred thirty-six thousand, four hundred eighty".