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2003431144 = 2311137432357
BaseRepresentation
bin111011101101001…
…1110111011101000
312011121210211212111
41313122132323220
513100334244034
6530444252104
7100434612061
oct16732367350
95147724774
102003431144
11938980520
1247ab41034
1325c0a9020
1415010d568
15bad3e364
hex7769eee8

2003431144 has 64 divisors (see below), whose sum is σ = 4420967040. Its totient is φ = 839112960.

The previous prime is 2003431109. The next prime is 2003431151. The reversal of 2003431144 is 4411343002.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 848814 + ... + 851170.

It is an arithmetic number, because the mean of its divisors is an integer number (69077610).

Almost surely, 22003431144 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 2003431144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210483520).

2003431144 is an abundant number, since it is smaller than the sum of its proper divisors (2417535896).

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

2003431144 is a wasteful number, since it uses less digits than its factorization.

2003431144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3130 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2003431144 is about 44759.7044672996. The cubic root of 2003431144 is about 1260.6411333585.

Adding to 2003431144 its reverse (4411343002), we get a palindrome (6414774146).

The spelling of 2003431144 in words is "two billion, three million, four hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 743 1144 1486 2357 2972 4714 5944 8173 9428 9659 16346 18856 19318 25927 30641 32692 38636 51854 61282 65384 77272 103708 106249 122564 207416 212498 245128 337051 424996 674102 849992 1348204 1751251 2696408 3502502 7005004 14010008 19263761 22766263 38527522 45532526 77055044 91065052 154110088 182130104 250428893 500857786 1001715572 2003431144