Search a number
-
+
1442747310420 = 22351331334717827
BaseRepresentation
bin10100111111101010011…
…100001110000101010100
312002220222112121011101010
4110333222130032011110
5142114221302413140
63022442225532220
7206143423540143
oct24775234160524
95086875534333
101442747310420
11506958276309
121b37451a4070
13a6086bc8cb0
144db87a0375a
15277e0e24880
hex14fea70e154

1442747310420 has 192 divisors, whose sum is σ = 4492368470016. Its totient is φ = 343559784960.

The previous prime is 1442747310409. The next prime is 1442747310437. The reversal of 1442747310420 is 240137472441.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 80921547 + ... + 80939373.

It is an arithmetic number, because the mean of its divisors is an integer number (23397752448).

Almost surely, 21442747310420 is an apocalyptic number.

1442747310420 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 1442747310420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246184235008).

1442747310420 is an abundant number, since it is smaller than the sum of its proper divisors (3049621159596).

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

1442747310420 is a wasteful number, since it uses less digits than its factorization.

1442747310420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21230 (or 21228 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 39.

The spelling of 1442747310420 in words is "one trillion, four hundred forty-two billion, seven hundred forty-seven million, three hundred ten thousand, four hundred twenty".