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242214269584 = 2476743174891
BaseRepresentation
bin1110000110010100011…
…0000111001010010000
3212011012022212202211111
43201211012013022100
512432023323111314
6303134404223104
723333203215160
oct3414506071220
9764168782744
10242214269584
11937a4705801
123ab3909aa94
1319ac105b111
14ba1a7a25a0
156479545ec4
hex3865187290

242214269584 has 80 divisors (see below), whose sum is σ = 545606793216. Its totient is φ = 102018153600.

The previous prime is 242214269497. The next prime is 242214269659. The reversal of 242214269584 is 485962412242.

It is a super-2 number, since 2×2422142695842 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3196779 + ... + 3271669.

Almost surely, 2242214269584 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 242214269584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272803396608).

242214269584 is an abundant number, since it is smaller than the sum of its proper divisors (303392523632).

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

242214269584 is a wasteful number, since it uses less digits than its factorization.

242214269584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75404 (or 75398 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 49.

The spelling of 242214269584 in words is "two hundred forty-two billion, two hundred fourteen million, two hundred sixty-nine thousand, five hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 56 67 112 134 268 431 469 536 862 938 1072 1724 1876 3017 3448 3752 6034 6896 7504 12068 24136 28877 48272 57754 74891 115508 149782 202139 231016 299564 404278 462032 524237 599128 808556 1048474 1198256 1617112 2096948 3234224 4193896 5017697 8387792 10035394 20070788 32278021 35123879 40141576 64556042 70247758 80283152 129112084 140495516 225946147 258224168 280991032 451892294 516448336 561982064 903784588 1807569176 2162627407 3615138352 4325254814 8650509628 15138391849 17301019256 30276783698 34602038512 60553567396 121107134792 242214269584