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1143138438 = 2321319125577
BaseRepresentation
bin100010000100010…
…1110100010000110
32221200000110010200
41010020232202012
54320120412223
6305233231330
740220342061
oct10410564206
92850013120
101143138438
115372a9912
1227aa02546
13152aa5ba0
14abb6b8d8
156a557a43
hex4422e886

1143138438 has 48 divisors (see below), whose sum is σ = 2681392896. Its totient is φ = 349879680.

The previous prime is 1143138427. The next prime is 1143138449. The reversal of 1143138438 is 8348313411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1143138427) and next prime (1143138449).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31906 + ... + 57482.

It is an arithmetic number, because the mean of its divisors is an integer number (55862352).

Almost surely, 21143138438 is an apocalyptic number.

1143138438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1143138438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340696448).

1143138438 is an abundant number, since it is smaller than the sum of its proper divisors (1538254458).

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

1143138438 is a wasteful number, since it uses less digits than its factorization.

1143138438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25789 (or 25786 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1143138438 is about 33810.3303444376. The cubic root of 1143138438 is about 1045.6016888563.

The spelling of 1143138438 in words is "one billion, one hundred forty-three million, one hundred thirty-eight thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 191 234 382 573 1146 1719 2483 3438 4966 7449 14898 22347 25577 44694 51154 76731 153462 230193 332501 460386 665002 997503 1995006 2992509 4885207 5985018 9770414 14655621 29311242 43966863 63507691 87933726 127015382 190523073 381046146 571569219 1143138438