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1143999072 = 25333373929
BaseRepresentation
bin100010000110000…
…0000101001100000
32221201122011201000
41010030000221200
54320330432242
6305303512000
740230555156
oct10414005140
92851564630
101143999072
11537837487
1227b158600
13153017838
14abd133d6
156a677a4c
hex44300a60

1143999072 has 96 divisors (see below), whose sum is σ = 3347416800. Its totient is φ = 380104704.

The previous prime is 1143999049. The next prime is 1143999083. The reversal of 1143999072 is 2709993411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11439990722 = 2617467753473722368, which contains 22 as substring.

It is a congruent number.

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, 289204 + ... + 293132.

It is an arithmetic number, because the mean of its divisors is an integer number (34868925).

Almost surely, 21143999072 is an apocalyptic number.

1143999072 is a gapful number since it is divisible by the number (12) 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 1143999072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673708400).

1143999072 is an abundant number, since it is smaller than the sum of its proper divisors (2203417728).

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

1143999072 is a wasteful number, since it uses less digits than its factorization.

1143999072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4285 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 1143999072 is about 33823.0553321252. The cubic root of 1143999072 is about 1045.8640235533.

The spelling of 1143999072 in words is "one billion, one hundred forty-three million, nine hundred ninety-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 337 432 674 864 1011 1348 2022 2696 3033 3929 4044 5392 6066 7858 8088 9099 10784 11787 12132 15716 16176 18198 23574 24264 31432 32352 35361 36396 47148 48528 62864 70722 72792 94296 97056 106083 125728 141444 145584 188592 212166 282888 291168 377184 424332 565776 848664 1131552 1324073 1697328 2648146 3394656 3972219 5296292 7944438 10592584 11916657 15888876 21185168 23833314 31777752 35749971 42370336 47666628 63555504 71499942 95333256 127111008 142999884 190666512 285999768 381333024 571999536 1143999072