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1142311312 = 241931472579
BaseRepresentation
bin100010000010110…
…0100100110010000
32221121110102112101
41010011210212100
54314412430222
6305203410144
740210325452
oct10405444620
92847412471
101142311312
1153689443a
1227a683954
1315287656c
14ab9d42d2
156a442927
hex44164990

1142311312 has 80 divisors (see below), whose sum is σ = 2456985600. Its totient is φ = 512300160.

The previous prime is 1142311283. The next prime is 1142311319. The reversal of 1142311312 is 2131132411.

It is a super-2 number, since 2×11423113122 = 2609750267046322688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 1142311312.

It is not an unprimeable number, because it can be changed into a prime (1142311319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441639 + ... + 444217.

It is an arithmetic number, because the mean of its divisors is an integer number (30712320).

Almost surely, 21142311312 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 1142311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228492800).

1142311312 is an abundant number, since it is smaller than the sum of its proper divisors (1314674288).

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

1142311312 is a wasteful number, since it uses less digits than its factorization.

1142311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2684 (or 2678 counting only the distinct ones).

The product of its digits is 144, while the sum is 19.

The square root of 1142311312 is about 33798.0962777491. The cubic root of 1142311312 is about 1045.3494438129.

Adding to 1142311312 its reverse (2131132411), we get a palindrome (3273443723).

The spelling of 1142311312 in words is "one billion, one hundred forty-two million, three hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 31 38 47 62 76 94 124 152 188 248 304 376 496 589 752 893 1178 1457 1786 2356 2579 2914 3572 4712 5158 5828 7144 9424 10316 11656 14288 20632 23312 27683 41264 49001 55366 79949 98002 110732 121213 159898 196004 221464 242426 319796 392008 442928 484852 639592 784016 969704 1279184 1519031 1939408 2303047 3038062 3757603 4606094 6076124 7515206 9212188 12152248 15030412 18424376 24304496 30060824 36848752 60121648 71394457 142788914 285577828 571155656 1142311312