Search a number
-
+
142394874799440 = 243573109128957847
BaseRepresentation
bin100000011000000111100011…
…111011100010010101010000
3200200011211001122200121010010
4200120013203323202111100
5122130444200422040230
61222503145153234520
741664455512146354
oct4030074373422520
9620154048617103
10142394874799440
114140a36666338a
1213b790b7562a40
13615ba18829443
142723d3d3ab464
15116e03de799b0
hex8181e3ee2550

142394874799440 has 320 divisors, whose sum is σ = 451934399347200. Its totient is φ = 37078778806272.

The previous prime is 142394874799417. The next prime is 142394874799477. The reversal of 142394874799440 is 44997478493241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2461548597 + ... + 2461606443.

It is an arithmetic number, because the mean of its divisors is an integer number (1412294997960).

Almost surely, 2142394874799440 is an apocalyptic number.

142394874799440 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 142394874799440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225967199673600).

142394874799440 is an abundant number, since it is smaller than the sum of its proper divisors (309539524547760).

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

142394874799440 is a wasteful number, since it uses less digits than its factorization.

142394874799440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59334 (or 59328 counting only the distinct ones).

The product of its (nonzero) digits is 1755758592, while the sum is 75.

The spelling of 142394874799440 in words is "one hundred forty-two trillion, three hundred ninety-four billion, eight hundred seventy-four million, seven hundred ninety-nine thousand, four hundred forty".