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540119199942 = 2327297917910453
BaseRepresentation
bin1111101110000011001…
…11001111000011000110
31220122010211120020022200
413313001213033003012
532322131003344232
61052043300535330
754010441310010
oct7670147170306
91818124506280
10540119199942
11199077231193
12888189b1546
133bc18b0703a
141c1db57d1b0
15e0b2d1377c
hex7dc19cf0c6

540119199942 has 192 divisors, whose sum is σ = 1409031936000. Its totient is φ = 146276492544.

The previous prime is 540119199941. The next prime is 540119199959. The reversal of 540119199942 is 249991911045.

540119199942 is a `hidden beast` number, since 5 + 401 + 1 + 9 + 199 + 9 + 42 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540119199941) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51665988 + ... + 51676440.

It is an arithmetic number, because the mean of its divisors is an integer number (7338708000).

Almost surely, 2540119199942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540119199942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704515968000).

540119199942 is an abundant number, since it is smaller than the sum of its proper divisors (868912736058).

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

540119199942 is a wasteful number, since it uses less digits than its factorization.

540119199942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10755 (or 10752 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The spelling of 540119199942 in words is "five hundred forty billion, one hundred nineteen million, one hundred ninety-nine thousand, nine hundred forty-two".