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2144505072 = 243193975923
BaseRepresentation
bin111111111010010…
…1000110011110000
312112110021010220210
41333310220303300
513342443130242
6552444104120
7104066664243
oct17764506360
95473233823
102144505072
11a00576446
124ba235040
132823a1118
14164b5325a
15c8408d9c
hex7fd28cf0

2144505072 has 80 divisors (see below), whose sum is σ = 5847224960. Its totient is φ = 675392256.

The previous prime is 2144505071. The next prime is 2144505127. The reversal of 2144505072 is 2705054412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144505071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359103 + ... + 365025.

It is an arithmetic number, because the mean of its divisors is an integer number (73090312).

Almost surely, 22144505072 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 2144505072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2923612480).

2144505072 is an abundant number, since it is smaller than the sum of its proper divisors (3702719888).

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

2144505072 is a wasteful number, since it uses less digits than its factorization.

2144505072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6350 (or 6344 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 2144505072 is about 46308.8012369139. The cubic root of 2144505072 is about 1289.5623922795.

Adding to 2144505072 its reverse (2705054412), we get a palindrome (4849559484).

The spelling of 2144505072 in words is "two billion, one hundred forty-four million, five hundred five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 397 456 794 912 1191 1588 2382 3176 4764 5923 6352 7543 9528 11846 15086 17769 19056 22629 23692 30172 35538 45258 47384 60344 71076 90516 94768 112537 120688 142152 181032 225074 284304 337611 362064 450148 675222 900296 1350444 1800592 2351431 2700888 4702862 5401776 7054293 9405724 14108586 18811448 28217172 37622896 44677189 56434344 89354378 112868688 134031567 178708756 268063134 357417512 536126268 714835024 1072252536 2144505072