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2051244144 = 2432231933209
BaseRepresentation
bin111101001000011…
…1000000001110000
312021221202222222100
41322100320001300
513200104303034
6535313140400
7101555200425
oct17220700160
95257688870
102051244144
119629680a4
12492b5a700
13268c79b41
141565d7d4c
15c0136099
hex7a438070

2051244144 has 120 divisors (see below), whose sum is σ = 6023141280. Its totient is φ = 650428416.

The previous prime is 2051244127. The next prime is 2051244149. The reversal of 2051244144 is 4414421502.

2051244144 is a `hidden beast` number, since 2 + 0 + 512 + 4 + 4 + 144 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2051244149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 637612 + ... + 640820.

It is an arithmetic number, because the mean of its divisors is an integer number (50192844).

Almost surely, 22051244144 is an apocalyptic number.

2051244144 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 2051244144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3011570640).

2051244144 is an abundant number, since it is smaller than the sum of its proper divisors (3971897136).

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

2051244144 is a wasteful number, since it uses less digits than its factorization.

2051244144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3439 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2051244144 is about 45290.6628787877. The cubic root of 2051244144 is about 1270.5910291817.

Adding to 2051244144 its reverse (4414421502), we get a palindrome (6465665646).

The spelling of 2051244144 in words is "two billion, fifty-one million, two hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 193 207 276 368 386 414 552 579 772 828 1104 1158 1544 1656 1737 2316 3088 3209 3312 3474 4439 4632 6418 6948 8878 9264 9627 12836 13317 13896 17756 19254 25672 26634 27792 28881 35512 38508 39951 51344 53268 57762 71024 73807 77016 79902 106536 115524 147614 154032 159804 213072 221421 231048 295228 319608 442842 462096 590456 619337 639216 664263 885684 1180912 1238674 1328526 1771368 1858011 2477348 2657052 3542736 3716022 4954696 5314104 5574033 7432044 9909392 10628208 11148066 14244751 14864088 22296132 28489502 29728176 42734253 44592264 56979004 85468506 89184528 113958008 128202759 170937012 227916016 256405518 341874024 512811036 683748048 1025622072 2051244144