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140443511040 = 2833573161307
BaseRepresentation
bin1000001011001100010…
…1011110100100000000
3111102111202020120112000
42002303011132210000
54300112014323130
6144304023504000
713101215101260
oct2026305364400
9442452216460
10140443511040
115461a778598
12232762b8000
1310322729271
146b244bb7a0
1539beb2c260
hex20b315e900

140443511040 has 1152 divisors, whose sum is σ = 599534960640. Its totient is φ = 30457036800.

The previous prime is 140443510997. The next prime is 140443511059. The reversal of 140443511040 is 40115344041.

140443511040 is a `hidden beast` number, since 140 + 4 + 4 + 3 + 511 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 140443510995 and 140443511013.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 457470567 + ... + 457470873.

Almost surely, 2140443511040 is an apocalyptic number.

140443511040 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 140443511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299767480320).

140443511040 is an abundant number, since it is smaller than the sum of its proper divisors (459091449600).

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

140443511040 is a wasteful number, since it uses less digits than its factorization.

140443511040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 140443511040 its reverse (40115344041), we get a palindrome (180558855081).

The spelling of 140443511040 in words is "one hundred forty billion, four hundred forty-three million, five hundred eleven thousand, forty".