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2113344144 = 2432232922003
BaseRepresentation
bin111110111110111…
…0001001010010000
312110021122000011100
41331331301022100
513312004003034
6545412144400
7103241062122
oct17575611220
95407560140
102113344144
11994a2280a
124ab908100
13278ab08c2
14160961212
15c5801099
hex7df71290

2113344144 has 120 divisors (see below), whose sum is σ = 6384680640. Its totient is φ = 650555136.

The previous prime is 2113344131. The next prime is 2113344161. The reversal of 2113344144 is 4414433112.

2113344144 is a `hidden beast` number, since 211 + 3 + 3 + 441 + 4 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85047 + ... + 107049.

It is an arithmetic number, because the mean of its divisors is an integer number (53205672).

Almost surely, 22113344144 is an apocalyptic number.

2113344144 is a gapful number since it is divisible by the number (24) 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 2113344144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3192340320).

2113344144 is an abundant number, since it is smaller than the sum of its proper divisors (4271336496).

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

2113344144 is a wasteful number, since it uses less digits than its factorization.

2113344144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22069 (or 22060 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 2113344144 is about 45971.1229360345. The cubic root of 2113344144 is about 1283.2858578640.

Adding to 2113344144 its reverse (4414433112), we get a palindrome (6527777256).

The spelling of 2113344144 in words is "two billion, one hundred thirteen million, three hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 29 36 46 48 58 69 72 87 92 116 138 144 174 184 207 232 261 276 348 368 414 464 522 552 667 696 828 1044 1104 1334 1392 1656 2001 2088 2668 3312 4002 4176 5336 6003 8004 10672 12006 16008 22003 24012 32016 44006 48024 66009 88012 96048 132018 176024 198027 264036 352048 396054 506069 528072 638087 792108 1012138 1056144 1276174 1518207 1584216 1914261 2024276 2552348 3036414 3168432 3828522 4048552 4554621 5104696 5742783 6072828 7657044 8097104 9109242 10209392 11485566 12145656 14676001 15314088 18218484 22971132 24291312 29352002 30628176 36436968 44028003 45942264 58704004 72873936 88056006 91884528 117408008 132084009 176112012 234816016 264168018 352224024 528336036 704448048 1056672072 2113344144