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24303430242 = 23371337133669
BaseRepresentation
bin10110101000100110…
…001110101001100010
32022201202012011202000
4112220212032221202
5344233134231432
615055334504430
71520155514520
oct265046165142
968652164660
1024303430242
11a34171a943
124863205116
1323a4128570
141267a63310
1597397b57c
hex5a898ea62

24303430242 has 128 divisors (see below), whose sum is σ = 68267942400. Its totient is φ = 6236414208.

The previous prime is 24303430241. The next prime is 24303430259. The reversal of 24303430242 is 24203430342.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (24303430241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114984 + ... + 248652.

It is an arithmetic number, because the mean of its divisors is an integer number (533343300).

Almost surely, 224303430242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24303430242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34133971200).

24303430242 is an abundant number, since it is smaller than the sum of its proper divisors (43964512158).

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

24303430242 is a wasteful number, since it uses less digits than its factorization.

24303430242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133737 (or 133731 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 24303430242 its reverse (24203430342), we get a palindrome (48506860584).

The spelling of 24303430242 in words is "twenty-four billion, three hundred three million, four hundred thirty thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 37 39 42 54 63 74 78 91 111 117 126 182 189 222 234 259 273 333 351 378 481 518 546 666 702 777 819 962 999 1443 1554 1638 1998 2331 2457 2886 3367 4329 4662 4914 6734 6993 8658 10101 12987 13986 20202 25974 30303 60606 90909 133669 181818 267338 401007 802014 935683 1203021 1737697 1871366 2406042 2807049 3475394 3609063 4945753 5213091 5614098 7218126 8421147 9891506 10426182 12163879 14837259 15639273 16842294 24327758 25263441 29674518 31278546 34620271 36491637 44511777 46917819 50526882 64294789 69240542 72983274 89023554 93835638 103860813 109474911 128589578 133535331 192884367 207721626 218949822 267070662 311582439 328424733 385768734 450063523 578653101 623164878 656849466 900127046 934747317 1157306202 1350190569 1735959303 1869494634 2700381138 3471918606 4050571707 8101143414 12151715121 24303430242