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242266985472 = 2103718710973
BaseRepresentation
bin1110000110100000111…
…1001101010000000000
3212011100000002000102210
43201220033031100000
512432130322013342
6303143530142120
723334413253621
oct3415017152000
9764300060383
10242266985472
1193821440a56
123ab52881940
1319acbc57755
14ba237a5a48
15647deaa79c
hex38683cd400

242266985472 has 88 divisors (see below), whose sum is σ = 645878545056. Its totient is φ = 80737067008.

The previous prime is 242266985447. The next prime is 242266985479. The reversal of 242266985472 is 274589662242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242266985479) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22072978 + ... + 22083950.

Almost surely, 2242266985472 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 242266985472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322939272528).

242266985472 is an abundant number, since it is smaller than the sum of its proper divisors (403611559584).

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

242266985472 is a wasteful number, since it uses less digits than its factorization.

242266985472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18183 (or 18165 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 57.

The spelling of 242266985472 in words is "two hundred forty-two billion, two hundred sixty-six million, nine hundred eighty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 7187 10973 14374 21561 21946 28748 32919 43122 43892 57496 65838 86244 87784 114992 131676 172488 175568 229984 263352 344976 351136 459968 526704 689952 702272 919936 1053408 1379904 1404544 1839872 2106816 2759808 2809088 3679744 4213632 5519616 5618176 7359488 8427264 11039232 11236352 16854528 22078464 33709056 78862951 157725902 236588853 315451804 473177706 630903608 946355412 1261807216 1892710824 2523614432 3785421648 5047228864 7570843296 10094457728 15141686592 20188915456 30283373184 40377830912 60566746368 80755661824 121133492736 242266985472