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242012123232 = 25311279726141
BaseRepresentation
bin1110000101100100001…
…0111111000001100000
3212010200020111200011120
43201121002333001200
512431120100420412
6303102343412240
723325200051205
oct3413102770140
9763606450146
10242012123232
1193700597200
123aaa1454080
1319a8b201ba9
14b9db9c1cac
156466915b8c
hex38590bf060

242012123232 has 144 divisors (see below), whose sum is σ = 699187867056. Its totient is φ = 73242188800.

The previous prime is 242012123219. The next prime is 242012123251. The reversal of 242012123232 is 232321210242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9244882 + ... + 9271022.

It is an arithmetic number, because the mean of its divisors is an integer number (4855471299).

Almost surely, 2242012123232 is an apocalyptic number.

242012123232 is a gapful number since it is divisible by the number (22) 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 242012123232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349593933528).

242012123232 is an abundant number, since it is smaller than the sum of its proper divisors (457175743824).

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

242012123232 is a wasteful number, since it uses less digits than its factorization.

242012123232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26973 (or 26954 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 242012123232 its reverse (232321210242), we get a palindrome (474333333474).

The spelling of 242012123232 in words is "two hundred forty-two billion, twelve million, one hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 797 968 1056 1452 1594 1936 2391 2904 3188 3872 4782 5808 6376 8767 9564 11616 12752 17534 19128 25504 26141 26301 35068 38256 52282 52602 70136 76512 78423 96437 104564 105204 140272 156846 192874 209128 210408 280544 287551 289311 313692 385748 418256 420816 575102 578622 627384 771496 836512 841632 862653 1150204 1157244 1254768 1542992 1725306 2300408 2314488 2509536 3085984 3163061 3450612 4600816 4628976 6326122 6901224 9201632 9257952 9489183 12652244 13802448 18978366 20834377 25304488 27604896 37956732 41668754 50608976 62503131 75913464 83337508 101217952 125006262 151826928 166675016 229178147 250012524 303653856 333350032 458356294 500025048 666700064 687534441 916712588 1000050096 1375068882 1833425176 2000100192 2520959617 2750137764 3666850352 5041919234 5500275528 7333700704 7562878851 10083838468 11000551056 15125757702 20167676936 22001102112 30251515404 40335353872 60503030808 80670707744 121006061616 242012123232