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108242480304 = 24337161922109
BaseRepresentation
bin110010011001111000…
…0010010110010110000
3101100101121022201121000
41210303300102302300
53233140033332204
6121420444002000
710551230621220
oct1446360226260
9340347281530
10108242480304
11419a60705a2
1218b8a230300
13a29036161a
14534ba08080
152c37b81039
hex1933c12cb0

108242480304 has 160 divisors (see below), whose sum is σ = 355316544000. Its totient is φ = 30905922816.

The previous prime is 108242480287. The next prime is 108242480371. The reversal of 108242480304 is 403084242801.

108242480304 is a `hidden beast` number, since 108 + 2 + 4 + 248 + 0 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4884802 + ... + 4906910.

It is an arithmetic number, because the mean of its divisors is an integer number (2220728400).

Almost surely, 2108242480304 is an apocalyptic number.

108242480304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108242480304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177658272000).

108242480304 is an abundant number, since it is smaller than the sum of its proper divisors (247074063696).

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

108242480304 is a wasteful number, since it uses less digits than its factorization.

108242480304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23752 (or 23740 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 108242480304 in words is "one hundred eight billion, two hundred forty-two million, four hundred eighty thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 1619 3024 3238 4857 6476 9714 11333 12952 14571 19428 22109 22666 25904 29142 33999 38856 43713 44218 45332 58284 66327 67998 77712 87426 88436 90664 101997 116568 132654 135996 154763 174852 176872 181328 198981 203994 233136 265308 271992 305991 309526 349704 353744 397962 407988 464289 530616 543984 596943 611982 619052 699408 795924 815976 928578 1061232 1193886 1223964 1238104 1392867 1591848 1631952 1857156 2387772 2447928 2476208 2785734 3183696 3714312 4178601 4775544 4895856 5571468 7428624 8357202 9551088 11142936 16714404 22285872 33428808 35794471 66857616 71588942 107383413 143177884 214766826 250561297 286355768 322150239 429533652 501122594 572711536 644300478 751683891 859067304 966450717 1002245188 1288600956 1503367782 1718134608 1932901434 2004490376 2255051673 2577201912 3006735564 3865802868 4008980752 4510103346 5154403824 6013471128 6765155019 7731605736 9020206692 12026942256 13530310038 15463211472 18040413384 27060620076 36080826768 54121240152 108242480304