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1143130956 = 2231171283431
BaseRepresentation
bin100010000100010…
…1100101101001100
32221200000001212120
41010020230231030
54320120142311
6305233132540
740220311212
oct10410545514
92850001776
101143130956
115372a4230
1227a9ba150
13152aa2666
14abb68cb2
156a555706
hex4422cb4c

1143130956 has 96 divisors (see below), whose sum is σ = 2968068096. Its totient is φ = 339528000.

The previous prime is 1143130951. The next prime is 1143130987. The reversal of 1143130956 is 6590313411.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1143130951) 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, 2652061 + ... + 2652491.

It is an arithmetic number, because the mean of its divisors is an integer number (30917376).

Almost surely, 21143130956 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 1143130956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484034048).

1143130956 is an abundant number, since it is smaller than the sum of its proper divisors (1824937140).

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

1143130956 is a wasteful number, since it uses less digits than its factorization.

1143130956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 1143130956 is about 33810.2196976003. The cubic root of 1143130956 is about 1045.5994076485.

The spelling of 1143130956 in words is "one billion, one hundred forty-three million, one hundred thirty thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 283 284 426 431 566 781 849 852 862 1132 1293 1562 1698 1724 2343 2586 3113 3124 3396 4686 4741 5172 6226 9339 9372 9482 12452 14223 18678 18964 20093 28446 30601 37356 40186 56892 60279 61202 80372 91803 120558 121973 122404 183606 221023 241116 243946 336611 365919 367212 442046 487892 663069 673222 731838 884092 1009833 1326138 1341703 1346444 1463676 2019666 2652276 2683406 4025109 4039332 5366812 8050218 8660083 16100436 17320166 25980249 34640332 51960498 95260913 103920996 190521826 285782739 381043652 571565478 1143130956