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1143211264 = 28132691277
BaseRepresentation
bin100010000100100…
…0000010100000000
32221200011011000221
41010021000110000
54320130230024
6305234552424
740221064306
oct10411002400
92850134027
101143211264
115373495a8
1227aa38714
13152b00090
14abb8a276
156a56e3e4
hex44240500

1143211264 has 72 divisors (see below), whose sum is σ = 2468559240. Its totient is φ = 525262848.

The previous prime is 1143211261. The next prime is 1143211283. The reversal of 1143211264 is 4621123411.

It can be written as a sum of positive squares in 4 ways, for example, as 230400 + 1142980864 = 480^2 + 33808^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1143211261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 894594 + ... + 895870.

It is an arithmetic number, because the mean of its divisors is an integer number (34285545).

Almost surely, 21143211264 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 1143211264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234279620).

1143211264 is an abundant number, since it is smaller than the sum of its proper divisors (1325347976).

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

1143211264 is a wasteful number, since it uses less digits than its factorization.

1143211264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575 (or 1561 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 1143211264 is about 33811.4073058191. The cubic root of 1143211264 is about 1045.6238924579.

Adding to 1143211264 its reverse (4621123411), we get a palindrome (5764334675).

The spelling of 1143211264 in words is "one billion, one hundred forty-three million, two hundred eleven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 269 416 538 832 1076 1277 1664 2152 2554 3328 3497 4304 5108 6994 8608 10216 13988 16601 17216 20432 27976 33202 34432 40864 55952 66404 68864 81728 111904 132808 163456 223808 265616 326912 343513 447616 531232 687026 895232 1062464 1374052 2124928 2748104 4249856 4465669 5496208 8931338 10992416 17862676 21984832 35725352 43969664 71450704 87939328 142901408 285802816 571605632 1143211264