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140101432240 = 2457111731103419
BaseRepresentation
bin1000001001111010110…
…0100011001110110000
3111101121220120011121211
42002132230203032300
54243411431312430
6144210043525504
713056562345060
oct2023654431660
9441556504554
10140101432240
1154464673740
122319b829894
13102998b7683
146ad0cb33a0
15399eaaa72a
hex209eb233b0

140101432240 has 640 divisors, whose sum is σ = 449251246080. Its totient is φ = 39293337600.

The previous prime is 140101432231. The next prime is 140101432297. The reversal of 140101432240 is 42234101041.

It is a happy number.

It is a super-2 number, since 2×1401014322402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 334370751 + ... + 334371169.

It is an arithmetic number, because the mean of its divisors is an integer number (701955072).

Almost surely, 2140101432240 is an apocalyptic number.

140101432240 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 140101432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224625623040).

140101432240 is an abundant number, since it is smaller than the sum of its proper divisors (309149813840).

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

140101432240 is a wasteful number, since it uses less digits than its factorization.

140101432240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 140101432240 its reverse (42234101041), we get a palindrome (182335533281).

The spelling of 140101432240 in words is "one hundred forty billion, one hundred one million, four hundred thirty-two thousand, two hundred forty".