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2114001144 = 233271413537
BaseRepresentation
bin111111000000001…
…0001100011111000
312110022212101101200
41332000101203320
513312141014034
6545434214200
7103246466433
oct17600214370
95408771350
102114001144
11995331392
124abb84360
13278c80968
14160a9281a
15c58d0a99
hex7e0118f8

2114001144 has 48 divisors (see below), whose sum is σ = 5806073520. Its totient is φ = 694740480.

The previous prime is 2114001143. The next prime is 2114001151. The reversal of 2114001144 is 4411004112.

2114001144 is a `hidden beast` number, since 211 + 400 + 11 + 44 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114001143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201657 + ... + 211880.

It is an arithmetic number, because the mean of its divisors is an integer number (120959865).

Almost surely, 22114001144 is an apocalyptic number.

2114001144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2114001144 is an abundant number, since it is smaller than the sum of its proper divisors (3692072376).

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

2114001144 is a wasteful number, since it uses less digits than its factorization.

2114001144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413620 (or 413613 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2114001144 is about 45978.2681709522. The cubic root of 2114001144 is about 1283.4188274447.

Adding to 2114001144 its reverse (4411004112), we get a palindrome (6525005256).

The spelling of 2114001144 in words is "two billion, one hundred fourteen million, one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 852 1278 1704 2556 5112 413537 827074 1240611 1654148 2481222 3308296 3721833 4962444 7443666 9924888 14887332 29361127 29774664 58722254 88083381 117444508 176166762 234889016 264250143 352333524 528500286 704667048 1057000572 2114001144