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2313133144 = 237374392543
BaseRepresentation
bin1000100111011111…
…1001110001011000
312222012120100010221
42021313321301120
514214130230034
61021310245424
7111215210260
oct21167716130
95865510127
102313133144
11a87781193
125467b6874
132ab2c2b4a
1417d2ca7a0
15d8117bb4
hex89df9c58

2313133144 has 64 divisors (see below), whose sum is σ = 5104281600. Its totient is φ = 961974144.

The previous prime is 2313133139. The next prime is 2313133157. The reversal of 2313133144 is 4413313132.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 908337 + ... + 910879.

It is an arithmetic number, because the mean of its divisors is an integer number (79754400).

Almost surely, 22313133144 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 2313133144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552140800).

2313133144 is an abundant number, since it is smaller than the sum of its proper divisors (2791148456).

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

2313133144 is a wasteful number, since it uses less digits than its factorization.

2313133144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3032 (or 3028 counting only the distinct ones).

The product of its digits is 2592, while the sum is 25.

The square root of 2313133144 is about 48095.0428214801. The cubic root of 2313133144 is about 1322.5137940464.

Adding to 2313133144 its reverse (4413313132), we get a palindrome (6726446276).

The spelling of 2313133144 in words is "two billion, three hundred thirteen million, one hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 259 296 439 518 878 1036 1756 2072 2543 3073 3512 5086 6146 10172 12292 16243 17801 20344 24584 32486 35602 64972 71204 94091 113701 129944 142408 188182 227402 376364 454804 658637 752728 909608 1116377 1317274 2232754 2634548 4465508 5269096 7814639 8931016 15629278 31258556 41305949 62517112 82611898 165223796 289141643 330447592 578283286 1156566572 2313133144