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334112140230440 = 2351113217201268927
BaseRepresentation
bin100101111110111111000101…
…1011011101111111100101000
31121210222210211111221222212112
41023331332023123233330220
5322243043130344333230
63142332555343501452
7130242543205334645
oct11375761333577450
91553883744858775
10334112140230440
1197505187969040
12315812078b7888
1311457841371c20
145c71184664dcc
15289605454cd95
hex12fdf8b6eff28

334112140230440 has 128 divisors (see below), whose sum is σ = 883184895774720. Its totient is φ = 112148596224000.

The previous prime is 334112140230433. The next prime is 334112140230469. The reversal of 334112140230440 is 44032041211433.

It is a super-2 number, since 2×3341121402304402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334112140230397 and 334112140230406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1242255257 + ... + 1242524183.

It is an arithmetic number, because the mean of its divisors is an integer number (6899881998240).

Almost surely, 2334112140230440 is an apocalyptic number.

It is an amenable number.

334112140230440 is an abundant number, since it is smaller than the sum of its proper divisors (549072755544280).

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

334112140230440 is a wasteful number, since it uses less digits than its factorization.

334112140230440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486163 (or 486159 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 334112140230440 its reverse (44032041211433), we get a palindrome (378144181441873).

The spelling of 334112140230440 in words is "three hundred thirty-four trillion, one hundred twelve billion, one hundred forty million, two hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2860 5720 217201 268927 434402 537854 868804 1075708 1086005 1344635 1737608 2151416 2172010 2389211 2689270 2823613 2958197 3496051 4344020 4778422 5378540 5647226 5916394 6992102 8688040 9556844 10757080 11294452 11832788 11946055 13984204 14118065 14790985 17480255 19113688 22588904 23665576 23892110 27968408 28236130 29581970 31059743 34960510 38456561 47784220 56472260 59163940 62119486 69921020 76913122 95568440 112944520 118327880 124238972 139842040 153826244 155298715 192282805 248477944 307652488 310597430 384565610 621194860 769131220 1242389720 1538262440 58411213327 116822426654 233644853308 292056066635 467289706616 584112133270 642523346597 759345773251 1168224266540 1285046693194 1518691546502 2336448533080 2570093386388 3037383093004 3212616732985 3796728866255 5140186772776 6074766186008 6425233465970 7593457732510 8352803505761 12850466931940 15186915465020 16705607011522 25700933863880 30373830930040 33411214023044 41764017528805 66822428046088 83528035057610 167056070115220 334112140230440