Search a number
-
+
449814859002 = 232314161322319
BaseRepresentation
bin1101000101110110000…
…11100000110011111010
31121000001101000101220200
412202323003200303322
524332210100442002
6542350405303030
744332555134045
oct6427303406372
91530041011820
10449814859002
11163846841263
1273216104a76
1333556c27182
1417ab209bc5c
15ba79dbbb1c
hex68bb0e0cfa

449814859002 has 96 divisors (see below), whose sum is σ = 1047472957440. Its totient is φ = 139241376000.

The previous prime is 449814858973. The next prime is 449814859031. The reversal of 449814859002 is 200958418944.

It is a happy number.

449814859002 is a `hidden beast` number, since 4 + 4 + 9 + 8 + 1 + 48 + 590 + 0 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (449814858973) and next prime (449814859031).

It is a self number, because there is not a number n which added to its sum of digits gives 449814859002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1234399 + ... + 1556717.

It is an arithmetic number, because the mean of its divisors is an integer number (10911176640).

Almost surely, 2449814859002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449814859002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523736478720).

449814859002 is an abundant number, since it is smaller than the sum of its proper divisors (597658098438).

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

449814859002 is a wasteful number, since it uses less digits than its factorization.

449814859002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322460 (or 322457 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 449814859002 in words is "four hundred forty-nine billion, eight hundred fourteen million, eight hundred fifty-nine thousand, two".

Divisors: 1 2 3 6 9 18 31 41 61 62 82 93 122 123 183 186 246 279 366 369 549 558 738 1098 1271 1891 2501 2542 3782 3813 5002 5673 7503 7626 11346 11439 15006 17019 22509 22878 34038 45018 77531 155062 232593 322319 465186 644638 697779 966957 1395558 1933914 2900871 5801742 9991889 13215079 19661459 19983778 26430158 29975667 39322918 39645237 58984377 59951334 79290474 89927001 117968754 118935711 176953131 179854002 237871422 353906262 409667449 609505229 806119819 819334898 1219010458 1229002347 1612239638 1828515687 2418359457 2458004694 3657031374 3687007041 4836718914 5485547061 7255078371 7374014082 10971094122 14510156742 24989714389 49979428778 74969143167 149938286334 224907429501 449814859002