Search a number
-
+
42241148514 = 233173110314411
BaseRepresentation
bin100111010101110001…
…001100011001100010
311001000212011200022000
4213111301030121202
51143002213223024
631223314224430
73023526560325
oct472561143142
9131025150260
1042241148514
1116a070330a4
12822a585116
133ca2490446
14208a0ba7bc
151173630cc9
hex9d5c4c662

42241148514 has 128 divisors (see below), whose sum is σ = 103600373760. Its totient is φ = 12699244800.

The previous prime is 42241148489. The next prime is 42241148533. The reversal of 42241148514 is 41584114224.

42241148514 is a `hidden beast` number, since 4 + 2 + 24 + 114 + 8 + 514 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2923969 + ... + 2938379.

It is an arithmetic number, because the mean of its divisors is an integer number (809377920).

Almost surely, 242241148514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42241148514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51800186880).

42241148514 is an abundant number, since it is smaller than the sum of its proper divisors (61359225246).

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

42241148514 is a wasteful number, since it uses less digits than its factorization.

42241148514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14573 (or 14567 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The spelling of 42241148514 in words is "forty-two billion, two hundred forty-one million, one hundred forty-eight thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 31 34 51 54 62 93 102 103 153 186 206 279 306 309 459 527 558 618 837 918 927 1054 1581 1674 1751 1854 2781 3162 3193 3502 4743 5253 5562 6386 9486 9579 10506 14229 14411 15759 19158 28458 28737 28822 31518 43233 47277 54281 57474 86211 86466 94554 108562 129699 162843 172422 244987 259398 325686 389097 446741 488529 489974 734961 778194 893482 977058 1340223 1465587 1469922 1484333 2204883 2680446 2931174 2968666 4020669 4409766 4452999 6614649 7594597 8041338 8905998 12062007 13229298 13358997 15189194 22783791 24124014 25233661 26717994 40076991 45567582 46014323 50467322 68351373 75700983 80153982 92028646 136702746 138042969 151401966 205054119 227102949 276085938 410108238 414128907 454205898 681308847 782243491 828257814 1242386721 1362617694 1564486982 2346730473 2484773442 4693460946 7040191419 14080382838 21120574257 42241148514