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39870142341120 = 2133757136773
BaseRepresentation
bin10010001000010111111011…
…01010111110000000000000
312020011112210202211110000000
421010023331222332000000
520211213022414403440
6220444031320000000
711253344203130040
oct1104137552760000
9166145722743000
1039870142341120
1111781917a36a33
12457b126000000
13193297a03ca60
149bba21ca3720
154921a9623730
hex2442fdabe000

39870142341120 has 3584 divisors, whose sum is σ = 181709310504960. Its totient is φ = 8173092077568.

The previous prime is 39870142341061. The next prime is 39870142341121. The reversal of 39870142341120 is 2114324107893.

39870142341120 is a `hidden beast` number, since 3 + 9 + 8 + 70 + 142 + 3 + 411 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39870142341121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 546166333404 + ... + 546166333476.

It is an arithmetic number, because the mean of its divisors is an integer number (50700142440).

Almost surely, 239870142341120 is an apocalyptic number.

39870142341120 is a gapful number since it is divisible by the number (30) 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 39870142341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90854655252480).

39870142341120 is an abundant number, since it is smaller than the sum of its proper divisors (141839168163840).

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

39870142341120 is an frugal number, since it uses more digits than its factorization.

39870142341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 39870142341120 in words is "thirty-nine trillion, eight hundred seventy billion, one hundred forty-two million, three hundred forty-one thousand, one hundred twenty".