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42344556948 = 2236193172411
BaseRepresentation
bin100111011011111011…
…101010100110010100
311001022001202101000000
4213123323222212110
51143210201310243
631241450451300
73026223536541
oct473373524624
9131261671000
1042344556948
1116a5a442411
128259133b30
133cbaa28475
142099b17bc8
15117c75a5d3
hex9dbeea994

42344556948 has 168 divisors, whose sum is σ = 117368788320. Its totient is φ = 13324253760.

The previous prime is 42344556923. The next prime is 42344556949. The reversal of 42344556948 is 84965544324.

42344556948 is a `hidden beast` number, since 4 + 2 + 3 + 44 + 556 + 9 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 42344556894 and 42344556903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42344556949) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 17561863 + ... + 17564273.

It is an arithmetic number, because the mean of its divisors is an integer number (698623740).

Almost surely, 242344556948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42344556948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58684394160).

42344556948 is an abundant number, since it is smaller than the sum of its proper divisors (75024231372).

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

42344556948 is a wasteful number, since it uses less digits than its factorization.

42344556948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2752 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 42344556948 in words is "forty-two billion, three hundred forty-four million, five hundred fifty-six thousand, nine hundred forty-eight".