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1139940168 = 2331723331367
BaseRepresentation
bin100001111110010…
…0001101101001000
32221102222221221020
41003330201231020
54313311041133
6305040512440
740151221503
oct10374415510
92842887836
101139940168
11535514a14
1227991b720
13152226213
14ab57813a
156a1250b3
hex43f21b48

1139940168 has 128 divisors (see below), whose sum is σ = 3166801920. Its totient is φ = 340116480.

The previous prime is 1139940167. The next prime is 1139940181. The reversal of 1139940168 is 8610499311.

It is a Cunningham number, because it is equal to 337632-1.

It is not an unprimeable number, because it can be changed into a prime (1139940167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3105921 + ... + 3106287.

It is an arithmetic number, because the mean of its divisors is an integer number (24740640).

Almost surely, 21139940168 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 1139940168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583400960).

1139940168 is an abundant number, since it is smaller than the sum of its proper divisors (2026861752).

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

1139940168 is a wasteful number, since it uses less digits than its factorization.

1139940168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 1139940168 is about 33762.9999851909. Note that the first 4 decimals coincide. The cubic root of 1139940168 is about 1044.6256507320.

The spelling of 1139940168 in words is "one billion, one hundred thirty-nine million, nine hundred forty thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 276 331 367 391 408 552 662 734 782 993 1101 1173 1324 1468 1564 1986 2202 2346 2648 2936 3128 3972 4404 4692 5627 6239 7613 7944 8441 8808 9384 11254 12478 15226 16881 16882 18717 22508 22839 24956 25323 30452 33762 33764 37434 45016 45678 49912 50646 60904 67524 67528 74868 91356 101292 121477 129421 135048 143497 149736 182712 202584 242954 258842 286994 364431 388263 430491 485908 517684 573988 728862 776526 860982 971816 1035368 1147976 1457724 1553052 1721964 2065109 2793971 2915448 3106104 3443928 4130218 5587942 6195327 8260436 8381913 11175884 12390654 16520872 16763826 22351768 24781308 33527652 47497507 49562616 67055304 94995014 142492521 189990028 284985042 379980056 569970084 1139940168