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4334230112985 = 3253741361317573
BaseRepresentation
bin111111000100100100001…
…111110000101011011001
3120100100101221121122011200
4333010210033300223121
51032003000402103420
613115041241144413
7625065156044313
oct77044417605331
916310357548150
104334230112985
1114211559a6443
125a0004a8b109
132559404ac666
1410dac66207b3
1577b2381eb90
hex3f1243f0ad9

4334230112985 has 96 divisors (see below), whose sum is σ = 7906536132768. Its totient is φ = 2193525411840.

The previous prime is 4334230112951. The next prime is 4334230112999. The reversal of 4334230112985 is 5892110324334.

It is a happy number.

4334230112985 is a `hidden beast` number, since 4 + 3 + 342 + 3 + 0 + 11 + 298 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2217868541001 + 2116361571984 = 1489251^2 + 1454772^2 .

It is not a de Polignac number, because 4334230112985 - 222 = 4334225918681 is a prime.

It is a super-2 number, since 2×43342301129852 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4334230112985.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 246632659 + ... + 246650231.

It is an arithmetic number, because the mean of its divisors is an integer number (82359751383).

Almost surely, 24334230112985 is an apocalyptic number.

4334230112985 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4334230112985 is a deficient number, since it is larger than the sum of its proper divisors (3572306019783).

4334230112985 is a wasteful number, since it uses less digits than its factorization.

4334230112985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21275 (or 21272 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 4334230112985 in words is "four trillion, three hundred thirty-four billion, two hundred thirty million, one hundred twelve thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 37 41 45 111 123 185 205 333 369 555 615 1517 1665 1845 3613 4551 7585 10839 13653 17573 18065 22755 32517 52719 54195 68265 87865 133681 148133 158157 162585 263595 401043 444399 650201 668405 720493 740665 790785 1203129 1333197 1950603 2005215 2161479 2221995 3251005 3602465 5480921 5851809 6015645 6484437 6665985 9753015 10807395 16442763 26658241 27404605 29259045 32422185 49328289 63491249 79974723 82213815 133291205 190473747 239924169 246641445 317456245 399873615 571421241 952368735 1199620845 2349176213 2603141209 2857106205 7047528639 7809423627 11745881065 13015706045 21142585917 23428270881 35237643195 39047118135 96316224733 105712929585 117141354405 288948674199 481581123665 866846022597 1444743370995 4334230112985