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2144036532 = 22311171950287
BaseRepresentation
bin111111111001011…
…0110011010110100
312112102101100012110
41333302312122310
513342333132112
6552430051020
7104063003241
oct17762663264
95472340173
102144036532
11a00286420
124ba049a70
13282268a91
14164a705c8
15c836513c
hex7fcb66b4

2144036532 has 96 divisors (see below), whose sum is σ = 6082836480. Its totient is φ = 579294720.

The previous prime is 2144036519. The next prime is 2144036533. The reversal of 2144036532 is 2356304412.

It is a self number, because there is not a number n which added to its sum of digits gives 2144036532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144036533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17493 + ... + 67779.

It is an arithmetic number, because the mean of its divisors is an integer number (63362880).

Almost surely, 22144036532 is an apocalyptic number.

2144036532 is a gapful number since it is divisible by the number (22) 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 2144036532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041418240).

2144036532 is an abundant number, since it is smaller than the sum of its proper divisors (3938799948).

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

2144036532 is a wasteful number, since it uses less digits than its factorization.

2144036532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50341 (or 50339 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2144036532 is about 46303.7420949970. The cubic root of 2144036532 is about 1289.4684691983.

The spelling of 2144036532 in words is "two billion, one hundred forty-four million, thirty-six thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 17 19 22 33 34 38 44 51 57 66 68 76 102 114 132 187 204 209 228 323 374 418 561 627 646 748 836 969 1122 1254 1292 1938 2244 2508 3553 3876 7106 10659 14212 21318 42636 50287 100574 150861 201148 301722 553157 603444 854879 955453 1106314 1659471 1709758 1910906 2212628 2564637 2866359 3318942 3419516 3821812 5129274 5732718 6637884 9403669 10258548 10509983 11465436 16242701 18807338 21019966 28211007 31529949 32485402 37614676 42039932 48728103 56422014 63059898 64970804 97456206 112844028 126119796 178669711 194912412 357339422 536009133 714678844 1072018266 2144036532