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140046119136 = 253272111753069
BaseRepresentation
bin1000001001101101100…
…1100011000011100000
3111101111001110222022100
42002123121203003200
54243303301303021
6144200350210400
713055321241300
oct2023331430340
9441431428270
10140046119136
1154436424130
12231851b3a00
131028b2bbb21
146ac77d5600
153999cd1626
hex209b6630e0

140046119136 has 432 divisors, whose sum is σ = 535132830960. Its totient is φ = 34235228160.

The previous prime is 140046119111. The next prime is 140046119137. The reversal of 140046119136 is 631911640041.

140046119136 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 4 + 611 + 9 + 1 + 36 = 666.

It is a super-2 number, since 2×1400461191362 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 140046119136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140046119137) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2612410 + ... + 2665478.

It is an arithmetic number, because the mean of its divisors is an integer number (1238733405).

Almost surely, 2140046119136 is an apocalyptic number.

140046119136 is a gapful number since it is divisible by the number (16) 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 140046119136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267566415480).

140046119136 is an abundant number, since it is smaller than the sum of its proper divisors (395086711824).

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

140046119136 is a wasteful number, since it uses less digits than its factorization.

140046119136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53127 (or 53109 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Adding to 140046119136 its reverse (631911640041), we get a palindrome (771957759177).

The spelling of 140046119136 in words is "one hundred forty billion, forty-six million, one hundred nineteen thousand, one hundred thirty-six".