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2114844018 = 2374732011
BaseRepresentation
bin111111000001101…
…1111010101110010
312110101110012121020
41332003133111302
513312400002033
6545504240310
7103256610000
oct17603372562
95411405536
102114844018
11995857681
124b0310096
132791b74c1
14160c31a70
15c59ea6b3
hex7e0df572

2114844018 has 80 divisors (see below), whose sum is σ = 5004423456. Its totient is φ = 595667520.

The previous prime is 2114843999. The next prime is 2114844019. The reversal of 2114844018 is 8104484112.

It is a super-3 number, since 3×21148440183 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2114844018.

It is not an unprimeable number, because it can be changed into a prime (2114844019) 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 39 ways as a sum of consecutive naturals, for example, 1050633 + ... + 1052643.

Almost surely, 22114844018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114844018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502211728).

2114844018 is an abundant number, since it is smaller than the sum of its proper divisors (2889579438).

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

2114844018 is an equidigital number, since it uses as much as digits as its factorization.

2114844018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 2114844018 is about 45987.4332617075. The cubic root of 2114844018 is about 1283.5893755427.

The spelling of 2114844018 in words is "two billion, one hundred fourteen million, eight hundred forty-four thousand, eighteen".

Divisors: 1 2 3 6 7 14 21 42 49 73 98 146 147 219 294 343 438 511 686 1022 1029 1533 2011 2058 2401 3066 3577 4022 4802 6033 7154 7203 10731 12066 14077 14406 21462 25039 28154 42231 50078 75117 84462 98539 146803 150234 175273 197078 293606 295617 350546 440409 525819 591234 689773 880818 1027621 1051638 1379546 2055242 2069319 3082863 4138638 4828411 6165726 7193347 9656822 14386694 14485233 21580041 28970466 43160082 50353429 100706858 151060287 302120574 352474003 704948006 1057422009 2114844018