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140414211312342 = 231119292587226819
BaseRepresentation
bin11111111011010010111011…
…001011111100101011010110
3200102011110121210220101012120
4133323102323023330223112
5121401021301043443332
61214345222001000410
741401410024246432
oct3773227313745326
9612143553811176
10140414211312342
1140816372770980
12138b926b323106
136047007375ba6
142696126a519c2
15113776885932c
hex7fb4bb2fcad6

140414211312342 has 192 divisors, whose sum is σ = 334556378956800. Its totient is φ = 38853814527360.

The previous prime is 140414211312301. The next prime is 140414211312373. The reversal of 140414211312342 is 243213112414041.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 618945009 + ... + 619171827.

It is an arithmetic number, because the mean of its divisors is an integer number (1742481140400).

Almost surely, 2140414211312342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140414211312342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167278189478400).

140414211312342 is an abundant number, since it is smaller than the sum of its proper divisors (194142167644458).

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

140414211312342 is a wasteful number, since it uses less digits than its factorization.

140414211312342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227499 (or 227470 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 140414211312342 its reverse (243213112414041), we get a palindrome (383627323726383).

The spelling of 140414211312342 in words is "one hundred forty trillion, four hundred fourteen billion, two hundred eleven million, three hundred twelve thousand, three hundred forty-two".