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140768486400 = 21035217137787
BaseRepresentation
bin1000001100011001110…
…1001010010000000000
3111110100101202000220110
42003012131022100000
54301243213031100
6144400153111320
713112242251303
oct2030635122000
9443311660813
10140768486400
1154777160373
12233470b8540
1310374b5cc89
146b55712b3a
1539dd421250
hex20c674a400

140768486400 has 528 divisors, whose sum is σ = 496840896576. Its totient is φ = 35027681280.

The previous prime is 140768486393. The next prime is 140768486459. The reversal of 140768486400 is 4684867041.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 140768486400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178866807 + ... + 178867593.

Almost surely, 2140768486400 is an apocalyptic number.

140768486400 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 140768486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248420448288).

140768486400 is an abundant number, since it is smaller than the sum of its proper divisors (356072410176).

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

140768486400 is a wasteful number, since it uses less digits than its factorization.

140768486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 140768486400 in words is "one hundred forty billion, seven hundred sixty-eight million, four hundred eighty-six thousand, four hundred".