Search a number
-
+
142837222152240 = 243357114120946577
BaseRepresentation
bin100000011110100011100001…
…111000110001100000110000
3200201202002211121021101022000
4200132203201320301200300
5122210221112332332430
61223442303004214000
742041435343463350
oct4036434170614060
9621662747241260
10142837222152240
114156aa20167710
121402a98883a300
136191652631695
14273b5037b4b60
15117a7cd481e60
hex81e8e1e31830

142837222152240 has 640 divisors, whose sum is σ = 628357122570240. Its totient is φ = 28956546662400.

The previous prime is 142837222152211. The next prime is 142837222152241. The reversal of 142837222152240 is 42251222738241.

142837222152240 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 37 + 222 + 152 + 240 = 666.

It is a super-2 number, since 2×1428372221522402 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (142837222152241) 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 127 ways as a sum of consecutive naturals, for example, 3654169 + ... + 17292408.

It is an arithmetic number, because the mean of its divisors is an integer number (981808004016).

Almost surely, 2142837222152240 is an apocalyptic number.

142837222152240 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 142837222152240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314178561285120).

142837222152240 is an abundant number, since it is smaller than the sum of its proper divisors (485519900418000).

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

142837222152240 is a wasteful number, since it uses less digits than its factorization.

142837222152240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20946658 (or 20946646 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 142837222152240 in words is "one hundred forty-two trillion, eight hundred thirty-seven billion, two hundred twenty-two million, one hundred fifty-two thousand, two hundred forty".