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140121434040 = 233575914331973
BaseRepresentation
bin1000001001111111100…
…0110110011110111000
3111101200022012100221020
42002133320312132320
54243432041342130
6144212040342440
713060224352260
oct2023770663670
9441608170836
10140121434040
1154474995355
12231a6474a20
13102a0a9b863
146ad37dc7a0
1539a170be10
hex209fe367b8

140121434040 has 256 divisors, whose sum is σ = 489147724800. Its totient is φ = 31446994944.

The previous prime is 140121434017. The next prime is 140121434053. The reversal of 140121434040 is 40434121041.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 140121434040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71018494 + ... + 71020466.

It is an arithmetic number, because the mean of its divisors is an integer number (1910733300).

Almost surely, 2140121434040 is an apocalyptic number.

140121434040 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 140121434040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244573862400).

140121434040 is an abundant number, since it is smaller than the sum of its proper divisors (349026290760).

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

140121434040 is a wasteful number, since it uses less digits than its factorization.

140121434040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3486 (or 3482 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 140121434040 its reverse (40434121041), we get a palindrome (180555555081).

The spelling of 140121434040 in words is "one hundred forty billion, one hundred twenty-one million, four hundred thirty-four thousand, forty".