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2042144214 = 2311296117491
BaseRepresentation
bin111100110111000…
…1010010111010110
312021022122200012220
41321232022113112
513140242103324
6534350123210
7101414640135
oct17156122726
95238580186
102042144214
119588121a0
1248bab0506
13267111b76
1415530991c
15be439b79
hex79b8a5d6

2042144214 has 64 divisors (see below), whose sum is σ = 4685057280. Its totient is φ = 587664000.

The previous prime is 2042144207. The next prime is 2042144239. The reversal of 2042144214 is 4124412402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108009 + ... + 125499.

It is an arithmetic number, because the mean of its divisors is an integer number (73204020).

Almost surely, 22042144214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042144214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342528640).

2042144214 is an abundant number, since it is smaller than the sum of its proper divisors (2642913066).

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

2042144214 is a wasteful number, since it uses less digits than its factorization.

2042144214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17597.

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2042144214 is about 45190.0897764100. The cubic root of 2042144214 is about 1268.7093370970.

Adding to 2042144214 its reverse (4124412402), we get a palindrome (6166556616).

The spelling of 2042144214 in words is "two billion, forty-two million, one hundred forty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 22 29 33 58 61 66 87 122 174 183 319 366 638 671 957 1342 1769 1914 2013 3538 4026 5307 10614 17491 19459 34982 38918 52473 58377 104946 116754 192401 384802 507239 577203 1014478 1066951 1154406 1521717 2133902 3043434 3200853 5579629 6401706 11159258 11736461 16738887 23472922 30941579 33477774 35209383 61883158 70418766 92824737 185649474 340357369 680714738 1021072107 2042144214