Search a number
-
+
2143071264 = 25388125339
BaseRepresentation
bin111111110111100…
…1010110000100000
312112100120022002210
41333233022300200
513342111240024
6552353242120
7104051543115
oct17757126040
95470508083
102143071264
119aa787184
124b9863340
13281cbb609
1416489c90c
15c8224129
hex7fbcac20

2143071264 has 48 divisors (see below), whose sum is σ = 5632169760. Its totient is φ = 713518080.

The previous prime is 2143071241. The next prime is 2143071277. The reversal of 2143071264 is 4621703412.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 71907 + ... + 97245.

It is an arithmetic number, because the mean of its divisors is an integer number (117336870).

Almost surely, 22143071264 is an apocalyptic number.

2143071264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2143071264 is an abundant number, since it is smaller than the sum of its proper divisors (3489098496).

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

2143071264 is a wasteful number, since it uses less digits than its factorization.

2143071264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26233 (or 26225 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 2143071264 is about 46293.3177035304. The cubic root of 2143071264 is about 1289.2749293544.

Adding to 2143071264 its reverse (4621703412), we get a palindrome (6764774676).

The spelling of 2143071264 in words is "two billion, one hundred forty-three million, seventy-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 881 1762 2643 3524 5286 7048 10572 14096 21144 25339 28192 42288 50678 76017 84576 101356 152034 202712 304068 405424 608136 810848 1216272 2432544 22323659 44647318 66970977 89294636 133941954 178589272 267883908 357178544 535767816 714357088 1071535632 2143071264