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15324420144 = 2431183893929
BaseRepresentation
bin11100100010110100…
…00001100000110000
31110112222121012110110
432101122001200300
5222341022421034
611012343301320
71051516264515
oct162132014060
943488535413
1015324420144
116554265740
122b7814a840
1315a2b17137
14a5535330c
155ea548de9
hex391681830

15324420144 has 160 divisors (see below), whose sum is σ = 44209670400. Its totient is φ = 4535111680.

The previous prime is 15324420131. The next prime is 15324420187. The reversal of 15324420144 is 44102442351.

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, 3898372 + ... + 3902300.

It is an arithmetic number, because the mean of its divisors is an integer number (276310440).

Almost surely, 215324420144 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 15324420144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22104835200).

15324420144 is an abundant number, since it is smaller than the sum of its proper divisors (28885250256).

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

15324420144 is a wasteful number, since it uses less digits than its factorization.

15324420144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4123 (or 4117 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 15324420144 its reverse (44102442351), we get a palindrome (59426862495).

The spelling of 15324420144 in words is "fifteen billion, three hundred twenty-four million, four hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 83 88 89 132 166 176 178 249 264 267 332 356 498 528 534 664 712 913 979 996 1068 1328 1424 1826 1958 1992 2136 2739 2937 3652 3916 3929 3984 4272 5478 5874 7304 7387 7832 7858 10956 11748 11787 14608 14774 15664 15716 21912 22161 23496 23574 29548 31432 43219 43824 44322 46992 47148 59096 62864 81257 86438 88644 94296 118192 129657 162514 172876 177288 188592 243771 259314 325028 326107 345752 349681 354576 487542 518628 650056 652214 691504 699362 975084 978321 1037256 1049043 1300112 1304428 1398724 1950168 1956642 2074512 2098086 2608856 2797448 3587177 3846491 3900336 3913284 4196172 5217712 5594896 7174354 7692982 7826568 8392344 10761531 11539473 14348708 15385964 15653136 16784688 21523062 23078946 28697416 29023523 30771928 43046124 46157892 57394832 58047046 61543856 86092248 87070569 92315784 116094092 172184496 174141138 184631568 232188184 319258753 348282276 464376368 638517506 696564552 957776259 1277035012 1393129104 1915552518 2554070024 3831105036 5108140048 7662210072 15324420144