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140447623680 = 29365713827
BaseRepresentation
bin1000001011001101010…
…1001010101000000000
3111102112000222112000000
42002303111022220000
54300114042424210
6144304252000000
713101265050420
oct2026325125000
9442460875000
10140447623680
1154622027471
1223277760000
1310323539190
146b24c6c480
1539c0190ac0
hex20b354aa00

140447623680 has 1120 divisors, whose sum is σ = 622150429824. Its totient is φ = 29597073408.

The previous prime is 140447623633. The next prime is 140447623783. The reversal of 140447623680 is 86326744041.

140447623680 is a `hidden beast` number, since 1 + 40 + 447 + 62 + 36 + 80 = 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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 169827427 + ... + 169828253.

Almost surely, 2140447623680 is an apocalyptic number.

140447623680 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 140447623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311075214912).

140447623680 is an abundant number, since it is smaller than the sum of its proper divisors (481702806144).

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

140447623680 is an frugal number, since it uses more digits than its factorization.

140447623680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 857 counting only the distinct ones).

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

The spelling of 140447623680 in words is "one hundred forty billion, four hundred forty-seven million, six hundred twenty-three thousand, six hundred eighty".