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140585897088 = 27327135325303
BaseRepresentation
bin1000001011101110010…
…0101000110010000000
3111102212200011112110100
42002323210220302000
54300404442201323
6144330111402400
713104564260040
oct2027344506200
9442780145410
10140585897088
115469308a30a
12232b5b23400
1310346090670
146b39383720
1539cc3a5943
hex20bb928c80

140585897088 has 384 divisors, whose sum is σ = 507322932480. Its totient is φ = 36376584192.

The previous prime is 140585897083. The next prime is 140585897099. The reversal of 140585897088 is 880798585041.

140585897088 is a `hidden beast` number, since 1 + 40 + 5 + 8 + 589 + 7 + 0 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (140585897083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5543445 + ... + 5568747.

It is an arithmetic number, because the mean of its divisors is an integer number (1321153470).

Almost surely, 2140585897088 is an apocalyptic number.

140585897088 is a gapful number since it is divisible by the number (18) 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 140585897088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253661466240).

140585897088 is an abundant number, since it is smaller than the sum of its proper divisors (366737035392).

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

140585897088 is a wasteful number, since it uses less digits than its factorization.

140585897088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25396 (or 25381 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 63.

The spelling of 140585897088 in words is "one hundred forty billion, five hundred eighty-five million, eight hundred ninety-seven thousand, eighty-eight".