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1142011312 = 2413171092963
BaseRepresentation
bin100010000010001…
…1011010110110000
32221120220012000021
41010010123112300
54314323330222
6305153133224
740204636021
oct10404332660
92846805007
101142011312
115366aa002
1227a55a214
1315279cb50
14ab956c48
156a3d3ac7
hex4411b5b0

1142011312 has 80 divisors (see below), whose sum is σ = 2547024480. Its totient is φ = 491360256.

The previous prime is 1142011309. The next prime is 1142011331. The reversal of 1142011312 is 2131102411.

It is a super-2 number, since 2×11420113122 = 2608379673471922688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 383943 + ... + 386905.

It is an arithmetic number, because the mean of its divisors is an integer number (31837806).

Almost surely, 21142011312 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 1142011312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273512240).

1142011312 is an abundant number, since it is smaller than the sum of its proper divisors (1405013168).

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

1142011312 is a wasteful number, since it uses less digits than its factorization.

1142011312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3110 (or 3104 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1142011312 is about 33793.6578665287. The cubic root of 1142011312 is about 1045.2579240181.

Adding to 1142011312 its reverse (2131102411), we get a palindrome (3273113723).

The spelling of 1142011312 in words is "one billion, one hundred forty-two million, eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 109 136 208 218 221 272 436 442 872 884 1417 1744 1768 1853 2834 2963 3536 3706 5668 5926 7412 11336 11852 14824 22672 23704 24089 29648 38519 47408 48178 50371 77038 96356 100742 154076 192712 201484 308152 322967 385424 402968 616304 645934 654823 805936 1291868 1309646 2583736 2619292 4198571 5167472 5238584 5490439 8397142 10477168 10980878 16794284 21961756 33588568 43923512 67177136 71375707 87847024 142751414 285502828 571005656 1142011312