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5141332308 = 22371131633323
BaseRepresentation
bin1001100100111001…
…01000000101010100
3111021022022202001010
410302130220011110
541012140113213
62210100332220
7241256414010
oct46234500524
914238282033
105141332308
1121a916a072
12bb59a4070
1363c214488
1436ab71540
15201572ac3
hex132728154

5141332308 has 96 divisors (see below), whose sum is σ = 13920592896. Its totient is φ = 1446584832.

The previous prime is 5141332297. The next prime is 5141332319. The reversal of 5141332308 is 8032331415.

It is an interprime number because it is at equal distance from previous prime (5141332297) and next prime (5141332319).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1545535 + ... + 1548857.

It is an arithmetic number, because the mean of its divisors is an integer number (145006176).

Almost surely, 25141332308 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 5141332308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6960296448).

5141332308 is an abundant number, since it is smaller than the sum of its proper divisors (8779260588).

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

5141332308 is a wasteful number, since it uses less digits than its factorization.

5141332308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3613 (or 3611 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 5141332308 is about 71703.0843688052. The cubic root of 5141332308 is about 1725.9381365434.

The spelling of 5141332308 in words is "five billion, one hundred forty-one million, three hundred thirty-two thousand, three hundred eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 113 163 226 326 339 452 489 652 678 791 978 1141 1356 1582 1956 2282 2373 3164 3323 3423 4564 4746 6646 6846 9492 9969 13292 13692 18419 19938 23261 36838 39876 46522 55257 69783 73676 93044 110514 128933 139566 221028 257866 279132 375499 386799 515732 541649 750998 773598 1083298 1126497 1501996 1547196 1624947 2166596 2252994 2628493 3249894 3791543 4505988 5256986 6499788 7583086 7885479 10513972 11374629 15166172 15770958 22749258 31541916 45498516 61206337 122412674 183619011 244825348 367238022 428444359 734476044 856888718 1285333077 1713777436 2570666154 5141332308