Search a number
-
+
2051342144 = 26192958171
BaseRepresentation
bin111101001000100…
…1111111101000000
312021221221222101222
41322101033331000
513200120422034
6535315214212
7101556056225
oct17221177500
95257858358
102051342144
11962a24795
12492ba7368
13268cb2627
1415662194c
15c015512e
hex7a44ff40

2051342144 has 56 divisors (see below), whose sum is σ = 4432706400. Its totient is φ = 938165760.

The previous prime is 2051342143. The next prime is 2051342159. The reversal of 2051342144 is 4412431502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2051342141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6179 + ... + 64349.

Almost surely, 22051342144 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 2051342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216353200).

2051342144 is an abundant number, since it is smaller than the sum of its proper divisors (2381364256).

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

2051342144 is a wasteful number, since it uses less digits than its factorization.

2051342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58231 (or 58221 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 2051342144 is about 45291.7447665687. The cubic root of 2051342144 is about 1270.6112633955.

Adding to 2051342144 its reverse (4412431502), we get a palindrome (6463773646).

The spelling of 2051342144 in words is "two billion, fifty-one million, three hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 29 32 38 58 64 76 116 152 232 304 464 551 608 928 1102 1216 1856 2204 4408 8816 17632 35264 58171 116342 232684 465368 930736 1105249 1686959 1861472 2210498 3373918 3722944 4420996 6747836 8841992 13495672 17683984 26991344 32052221 35367968 53982688 64104442 70735936 107965376 128208884 256417768 512835536 1025671072 2051342144