Search a number
-
+
44668086138 = 232132191973923
BaseRepresentation
bin101001100110011011…
…001110011101111010
311021021222212212211200
4221212123032131322
51212440012224023
632304212035030
73140626316244
oct514633163572
9137258785750
1044668086138
1117a41a74275
1287a7302a76
13429b21b200
14223a54d094
151266728743
hexa666ce77a

44668086138 has 144 divisors (see below), whose sum is σ = 110902128480. Its totient is φ = 12951259776.

The previous prime is 44668086121. The next prime is 44668086149. The reversal of 44668086138 is 83168086644.

44668086138 is a `hidden beast` number, since 446 + 68 + 0 + 8 + 6 + 138 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11384245 + ... + 11388167.

It is an arithmetic number, because the mean of its divisors is an integer number (770153670).

Almost surely, 244668086138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44668086138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55451064240).

44668086138 is an abundant number, since it is smaller than the sum of its proper divisors (66234042342).

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

44668086138 is a wasteful number, since it uses less digits than its factorization.

44668086138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4173 (or 4157 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 44668086138 in words is "forty-four billion, six hundred sixty-eight million, eighty-six thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 169 171 197 234 247 338 342 394 494 507 591 741 1014 1182 1482 1521 1773 2223 2561 3042 3211 3546 3743 3923 4446 5122 6422 7486 7683 7846 9633 11229 11769 15366 19266 22458 23049 23538 28899 33293 33687 35307 46098 48659 50999 57798 66586 67374 70614 74537 97318 99879 101998 145977 149074 152997 199758 223611 291954 299637 305994 437931 447222 458991 599274 632567 662987 670833 772831 875862 917982 968981 1265134 1325974 1341666 1545662 1897701 1937962 1988961 2318493 2906943 3795402 3977922 4636986 5693103 5813886 5966883 6955479 8720829 10046803 11386206 11933766 12596753 13910958 14683789 17441658 20093606 25193506 29367578 30140409 37790259 44051367 60280818 75580518 88102734 90421227 113370777 130608439 132154101 180842454 190889257 226741554 261216878 264308202 381778514 391825317 572667771 783650634 1145335542 1175475951 1718003313 2350951902 2481560341 3436006626 4963120682 7444681023 14889362046 22334043069 44668086138