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142240055541200 = 24524361672023433
BaseRepresentation
bin100000010101110111010111…
…111110111011110111010000
3200122122000110000221101202122
4200111313113332323313100
5122120430113204304300
61222304102431233412
741650335114155501
oct4025672776736720
9618560400841678
10142240055541200
114135a73a187191
1213b530aa978868
13614a2449c1ab6
14271a653966ba8
151169ecc246c85
hex815dd7fbbdd0

142240055541200 has 240 divisors, whose sum is σ = 360716251807296. Its totient is φ = 53845953638400.

The previous prime is 142240055541187. The next prime is 142240055541251. The reversal of 142240055541200 is 2145550042241.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69284684 + ... + 71308116.

Almost surely, 2142240055541200 is an apocalyptic number.

142240055541200 is a gapful number since it is divisible by the number (10) 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 142240055541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180358125903648).

142240055541200 is an abundant number, since it is smaller than the sum of its proper divisors (218476196266096).

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

142240055541200 is a wasteful number, since it uses less digits than its factorization.

142240055541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023622 (or 2023611 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 35.

The spelling of 142240055541200 in words is "one hundred forty-two trillion, two hundred forty billion, fifty-five million, five hundred forty-one thousand, two hundred".