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43148380158 = 23313674092243
BaseRepresentation
bin101000001011110110…
…000000011111111110
311010101002021211011000
4220023312000133332
51201331441131113
631453323311130
73055154115462
oct501366003776
9133332254130
1043148380158
1117332154714
12844237b4a6
1340b84195c0
14213479a4a2
1511c80da373
hexa0bd807fe

43148380158 has 128 divisors (see below), whose sum is σ = 105105369600. Its totient is φ = 13040476416.

The previous prime is 43148380111. The next prime is 43148380159. The reversal of 43148380158 is 85108384134.

43148380158 is a `hidden beast` number, since 43 + 1 + 483 + 80 + 1 + 58 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43148380159) 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 63 ways as a sum of consecutive naturals, for example, 19235785 + ... + 19238027.

It is an arithmetic number, because the mean of its divisors is an integer number (821135700).

Almost surely, 243148380158 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43148380158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52552684800).

43148380158 is an abundant number, since it is smaller than the sum of its proper divisors (61956989442).

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

43148380158 is a wasteful number, since it uses less digits than its factorization.

43148380158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 43148380158 in words is "forty-three billion, one hundred forty-eight million, three hundred eighty thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 67 78 117 134 201 234 351 402 409 603 702 818 871 1206 1227 1742 1809 2243 2454 2613 3618 3681 4486 5226 5317 6729 7362 7839 10634 11043 13458 15678 15951 20187 22086 23517 27403 29159 31902 40374 47034 47853 54806 58318 60561 82209 87477 95706 121122 143559 150281 164418 174954 246627 262431 287118 300562 356239 450843 493254 524862 712478 739881 787293 901686 917387 1068717 1352529 1479762 1574586 1834774 1953653 2137434 2705058 2752161 3206151 3907306 4057587 5504322 5860959 6412302 8115174 8256483 9618453 11721918 11926031 16512966 17582877 19236906 23852062 24769449 35165754 35778093 49538898 52748631 61464929 71556186 105497262 107334279 122929858 184394787 214668558 322002837 368789574 553184361 644005674 799044077 1106368722 1598088154 1659553083 2397132231 3319106166 4794264462 7191396693 14382793386 21574190079 43148380158