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2042014212 = 223474312089
BaseRepresentation
bin111100110110110…
…1010101000000100
312021022102001220000
41321231222220010
513140223423322
6534343241300
7101413556130
oct17155525004
95238361800
102042014212
11958733557
1248ba49230
13267097944
141552b43c0
15be4113ac
hex79b6aa04

2042014212 has 120 divisors (see below), whose sum is σ = 6117914880. Its totient is φ = 581800320.

The previous prime is 2042014193. The next prime is 2042014213. The reversal of 2042014212 is 2124102402.

2042014212 is a `hidden beast` number, since 20 + 420 + 14 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2042014213) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 976464 + ... + 978552.

It is an arithmetic number, because the mean of its divisors is an integer number (50982624).

Almost surely, 22042014212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042014212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058957440).

2042014212 is an abundant number, since it is smaller than the sum of its proper divisors (4075900668).

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

2042014212 is a wasteful number, since it uses less digits than its factorization.

2042014212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2042014212 is about 45188.6513629252. The cubic root of 2042014212 is about 1268.6824147001.

Adding to 2042014212 its reverse (2124102402), we get a palindrome (4166116614).

The spelling of 2042014212 in words is "two billion, forty-two million, fourteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 431 567 756 862 1134 1293 1724 2089 2268 2586 3017 3879 4178 5172 6034 6267 7758 8356 9051 11637 12068 12534 14623 15516 18102 18801 23274 25068 27153 29246 34911 36204 37602 43869 46548 54306 56403 58492 69822 75204 81459 87738 108612 112806 131607 139644 162918 169209 175476 225612 244377 263214 325836 338418 394821 488754 526428 676836 789642 900359 977508 1184463 1579284 1800718 2368926 2701077 3601436 4737852 5402154 6302513 8103231 10804308 12605026 16206462 18907539 24309693 25210052 32412924 37815078 48619386 56722617 72929079 75630156 97238772 113445234 145858158 170167851 226890468 291716316 340335702 510503553 680671404 1021007106 2042014212