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6140303388 = 2233103557991
BaseRepresentation
bin1011011011111110…
…11001100000011100
3120211221001201202000
411231333121200130
5100033404202023
62453144002300
7305106501102
oct55577314034
916757051660
106140303388
11267104a8aa
121234460390
1376b18121b
144236d1c72
1525e0ee243
hex16dfd981c

6140303388 has 96 divisors (see below), whose sum is σ = 16118968320. Its totient is φ = 2021215680.

The previous prime is 6140303387. The next prime is 6140303461. The reversal of 6140303388 is 8833030416.

It is a happy number.

6140303388 is a `hidden beast` number, since 614 + 0 + 3 + 0 + 3 + 38 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6140303381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6195573 + ... + 6196563.

It is an arithmetic number, because the mean of its divisors is an integer number (167905920).

Almost surely, 26140303388 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 6140303388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8059484160).

6140303388 is an abundant number, since it is smaller than the sum of its proper divisors (9978664932).

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

6140303388 is a wasteful number, since it uses less digits than its factorization.

6140303388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6140303388 is about 78360.0879785111. The cubic root of 6140303388 is about 1831.1753910934.

The spelling of 6140303388 in words is "six billion, one hundred forty million, three hundred three thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 103 108 206 309 412 557 618 927 991 1114 1236 1671 1854 1982 2228 2781 2973 3342 3708 3964 5013 5562 5946 6684 8919 10026 11124 11892 15039 17838 20052 26757 30078 35676 53514 57371 60156 102073 107028 114742 172113 204146 229484 306219 344226 408292 516339 551987 612438 688452 918657 1032678 1103974 1224876 1549017 1655961 1837314 2065356 2207948 2755971 3098034 3311922 3674628 4967883 5511942 6196068 6623844 9935766 11023884 14903649 19871532 29807298 56854661 59614596 113709322 170563983 227418644 341127966 511691949 682255932 1023383898 1535075847 2046767796 3070151694 6140303388