Search a number
-
+
442435458696 = 2337111012370427
BaseRepresentation
bin1100111000000110011…
…01010101011010001000
31120022000002101000202020
412130003031111122020
524222101434134241
6535130235204440
743651651230330
oct6340315253210
91508002330666
10442435458696
111606aa311620
12718b68a6720
133294c14300a
14175b1dc00c0
15b79710cb66
hex6703355688

442435458696 has 128 divisors (see below), whose sum is σ = 1392673858560. Its totient is φ = 113780448000.

The previous prime is 442435458607. The next prime is 442435458697. The reversal of 442435458696 is 696854534244.

It is a super-3 number, since 3×4424354586963 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (442435458697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 998566 + ... + 1371861.

It is an arithmetic number, because the mean of its divisors is an integer number (10880264520).

Almost surely, 2442435458696 is an apocalyptic number.

It is an amenable number.

442435458696 is an abundant number, since it is smaller than the sum of its proper divisors (950238399864).

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

442435458696 is a wasteful number, since it uses less digits than its factorization.

442435458696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370555 (or 2370551 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 60.

The spelling of 442435458696 in words is "four hundred forty-two billion, four hundred thirty-five million, four hundred fifty-eight thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 101 132 154 168 202 231 264 303 308 404 462 606 616 707 808 924 1111 1212 1414 1848 2121 2222 2424 2828 3333 4242 4444 5656 6666 7777 8484 8888 13332 15554 16968 23331 26664 31108 46662 62216 93324 186648 2370427 4740854 7111281 9481708 14222562 16592989 18963416 26074697 28445124 33185978 49778967 52149394 56890248 66371956 78224091 99557934 104298788 132743912 156448182 182522879 199115868 208597576 239413127 312896364 365045758 398231736 478826254 547568637 625792728 718239381 730091516 957652508 1095137274 1436478762 1460183032 1675891889 1915305016 2190274548 2633544397 2872957524 3351783778 4380549096 5027675667 5267088794 5745915048 6703567556 7900633191 10055351334 10534177588 13407135112 15801266382 18434810779 20110702668 21068355176 31602532764 36869621558 40221405336 55304432337 63205065528 73739243116 110608864674 147478486232 221217729348 442435458696