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1143005968 = 24137375277
BaseRepresentation
bin100010000100000…
…1110001100010000
32221122202201102101
41010020032030100
54320102142333
6305230330144
740216250626
oct10410161420
92848681371
101143005968
11537219335
1227a959954
13152a5a7c0
14abb35516
156a52d67d
hex4420e310

1143005968 has 40 divisors (see below), whose sum is σ = 2417628248. Its totient is φ = 520307712.

The previous prime is 1143005959. The next prime is 1143005987. The reversal of 1143005968 is 8695003411.

It can be written as a sum of positive squares in 4 ways, for example, as 195105024 + 947900944 = 13968^2 + 30788^2 .

It is a super-4 number, since 4×11430059684 (a number of 37 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22455 + ... + 52822.

Almost surely, 21143005968 is an apocalyptic number.

It is an amenable number.

1143005968 is an abundant number, since it is smaller than the sum of its proper divisors (1274622280).

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

1143005968 is a wasteful number, since it uses less digits than its factorization.

1143005968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75371 (or 75365 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 1143005968 is about 33808.3712710329. The cubic root of 1143005968 is about 1045.5612982375.

The spelling of 1143005968 in words is "one billion, one hundred forty-three million, five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 52 73 104 146 208 292 584 949 1168 1898 3796 7592 15184 75277 150554 301108 602216 978601 1204432 1957202 3914404 5495221 7828808 10990442 15657616 21980884 43961768 71437873 87923536 142875746 285751492 571502984 1143005968