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30138384144 = 243112315311621
BaseRepresentation
bin11100000100011000…
…110011111100010000
32212210101200112201210
4130010120303330100
5443210411243034
621502334100120
72114600016111
oct340430637420
985711615653
1030138384144
11118663720a0
125a1134a640
132ac3c57acb
14165c98c208
15bb5d618e9
hex704633f10

30138384144 has 160 divisors (see below), whose sum is σ = 88740891648. Its totient is φ = 8724672000.

The previous prime is 30138384083. The next prime is 30138384161. The reversal of 30138384144 is 44148383103.

It is a super-2 number, since 2×301383841442 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18591654 + ... + 18593274.

Almost surely, 230138384144 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 30138384144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44370445824).

30138384144 is an abundant number, since it is smaller than the sum of its proper divisors (58602507504).

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

30138384144 is a wasteful number, since it uses less digits than its factorization.

30138384144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197 (or 3191 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 30138384144 in words is "thirty billion, one hundred thirty-eight million, three hundred eighty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 759 1012 1104 1518 1531 1621 2024 3036 3062 3242 4048 4593 4863 6072 6124 6484 9186 9726 12144 12248 12968 16841 17831 18372 19452 24496 25936 33682 35213 35662 36744 37283 38904 50523 53493 67364 70426 71324 73488 74566 77808 101046 105639 106986 111849 134728 140852 142648 149132 202092 211278 213972 223698 269456 281704 285296 298264 387343 404184 410113 422556 427944 447396 563408 596528 774686 808368 820226 845112 855888 894792 1162029 1230339 1549372 1640452 1690224 1789584 2324058 2460678 2481751 3098744 3280904 4648116 4921356 4963502 6197488 6561808 7445253 9296232 9842712 9927004 14890506 18592464 19685424 19854008 27299261 29781012 39708016 54598522 57080273 59562024 81897783 109197044 114160546 119124048 163795566 171240819 218394088 228321092 327591132 342481638 436788176 456642184 627883003 655182264 684963276 913284368 1255766006 1310364528 1369926552 1883649009 2511532012 2739853104 3767298018 5023064024 7534596036 10046128048 15069192072 30138384144