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140712042240 = 2833571131923
BaseRepresentation
bin1000001100001100010…
…1110101111100000000
3111110012110112101002000
42003003011311330000
54301134240322430
6144350415224000
713110655424130
oct2030305657400
9443173471060
10140712042240
1154748309000
1223330218000
1310366259673
146b4c01cac0
1539d84c1e60
hex20c3175f00

140712042240 has 2304 divisors, whose sum is σ = 689452646400. Its totient is φ = 26495631360.

The previous prime is 140712042239. The next prime is 140712042293. The reversal of 140712042240 is 42240217041.

140712042240 is a `hidden beast` number, since 1 + 407 + 12 + 0 + 4 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6117914869 + ... + 6117914891.

It is an arithmetic number, because the mean of its divisors is an integer number (299241600).

Almost surely, 2140712042240 is an apocalyptic number.

140712042240 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 140712042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344726323200).

140712042240 is an abundant number, since it is smaller than the sum of its proper divisors (548740604160).

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

140712042240 is a wasteful number, since it uses less digits than its factorization.

140712042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

Adding to 140712042240 its reverse (42240217041), we get a palindrome (182952259281).

The spelling of 140712042240 in words is "one hundred forty billion, seven hundred twelve million, forty-two thousand, two hundred forty".