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15300344004 = 223112233114779
BaseRepresentation
bin11100011111111100…
…01011100011000100
31110111022022000012120
432033332023203010
5222313342002004
611010123245540
71051104530631
oct161776134304
943438260176
1015300344004
116541710a00
122b700798b0
13159ab375ba
14a52087188
155e83903d9
hex38ff8b8c4

15300344004 has 144 divisors (see below), whose sum is σ = 42271272960. Its totient is φ = 4291531200.

The previous prime is 15300343999. The next prime is 15300344021. The reversal of 15300344004 is 40044300351.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1027887 + ... + 1042665.

Almost surely, 215300344004 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 15300344004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21135636480).

15300344004 is an abundant number, since it is smaller than the sum of its proper divisors (26970928956).

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

15300344004 is a wasteful number, since it uses less digits than its factorization.

15300344004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14862 (or 14849 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 15300344004 its reverse (40044300351), we get a palindrome (55344644355).

The spelling of 15300344004 in words is "fifteen billion, three hundred million, three hundred forty-four thousand, four".

Divisors: 1 2 3 4 6 11 12 22 23 31 33 44 46 62 66 69 92 93 121 124 132 138 186 242 253 276 341 363 372 484 506 682 713 726 759 1012 1023 1364 1426 1452 1518 2046 2139 2783 2852 3036 3751 4092 4278 5566 7502 7843 8349 8556 11132 11253 14779 15004 15686 16698 22506 23529 29558 31372 33396 44337 45012 47058 59116 86273 88674 94116 162569 172546 177348 258819 325138 339917 345092 458149 487707 517638 650276 679834 916298 975414 1019751 1035276 1359668 1374447 1788259 1832596 1950828 2039502 2748894 3576518 3739087 4079004 5039639 5364777 5497788 7153036 7478174 10079278 10537427 10729554 11217261 14956348 15118917 20158556 21074854 21459108 22434522 30237834 31612281 41129957 42149708 44869044 55436029 60475668 63224562 82259914 110872058 115911697 123389871 126449124 164519828 166308087 221744116 231823394 246779742 332616174 347735091 463646788 493559484 665232348 695470182 1275028667 1390940364 2550057334 3825086001 5100114668 7650172002 15300344004