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1143213144 = 2331710092777
BaseRepresentation
bin100010000100100…
…0000110001011000
32221200011020121120
41010021000301120
54320130310034
6305235005240
740221102633
oct10411006130
92850136546
101143213144
1153734aa57
1227aa39820
13152b00ba8
14abb8ac1a
156a56ec49
hex44240c58

1143213144 has 64 divisors (see below), whose sum is σ = 3030242400. Its totient is φ = 358170624.

The previous prime is 1143213131. The next prime is 1143213157. The reversal of 1143213144 is 4413123411.

It is an interprime number because it is at equal distance from previous prime (1143213131) and next prime (1143213157).

It is a super-2 number, since 2×11432131442 = 2613872585228729472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 410284 + ... + 413060.

Almost surely, 21143213144 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 1143213144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515121200).

1143213144 is an abundant number, since it is smaller than the sum of its proper divisors (1887029256).

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

1143213144 is a wasteful number, since it uses less digits than its factorization.

1143213144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3812 (or 3808 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 1143213144 is about 33811.4351070758. The cubic root of 1143213144 is about 1045.6244656304.

Adding to 1143213144 its reverse (4413123411), we get a palindrome (5556336555).

The spelling of 1143213144 in words is "one billion, one hundred forty-three million, two hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 1009 2018 2777 3027 4036 5554 6054 8072 8331 11108 12108 16662 17153 22216 24216 33324 34306 47209 51459 66648 68612 94418 102918 137224 141627 188836 205836 283254 377672 411672 566508 1133016 2801993 5603986 8405979 11207972 16811958 22415944 33623916 47633881 67247832 95267762 142901643 190535524 285803286 381071048 571606572 1143213144