Search a number
-
+
44043343014120 = 23352931399895393
BaseRepresentation
bin10100000001110101000111…
…10100001010100011101000
312202221111120022010221222220
422000322203310022203220
521233101231302422440
6233401122113314040
712164012045433402
oct1200724364124350
9182844508127886
1044043343014120
1113040749a1876a
124b33a8a565920
131b76366c084c8
14ac39cdd9bb72
15515a05e0b8d0
hex280ea3d0a8e8

44043343014120 has 128 divisors (see below), whose sum is σ = 132675901344000. Its totient is φ = 11696426901504.

The previous prime is 44043343014119. The next prime is 44043343014163. The reversal of 44043343014120 is 2141034334044.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48741144 + ... + 49636536.

It is an arithmetic number, because the mean of its divisors is an integer number (1036530479250).

Almost surely, 244043343014120 is an apocalyptic number.

44043343014120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44043343014120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66337950672000).

44043343014120 is an abundant number, since it is smaller than the sum of its proper divisors (88632558329880).

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

44043343014120 is a wasteful number, since it uses less digits than its factorization.

44043343014120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897099 (or 897095 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 44043343014120 its reverse (2141034334044), we get a palindrome (46184377348164).

The spelling of 44043343014120 in words is "forty-four trillion, forty-three billion, three hundred forty-three million, fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 293 586 879 1172 1399 1465 1758 2344 2798 2930 3516 4197 4395 5596 5860 6995 7032 8394 8790 11192 11720 13990 16788 17580 20985 27980 33576 35160 41970 55960 83940 167880 409907 819814 895393 1229721 1639628 1790786 2049535 2459442 2686179 3279256 3581572 4099070 4476965 4918884 5372358 6148605 7163144 8198140 8953930 9837768 10744716 12297210 13430895 16396280 17907860 21489432 24594420 26861790 35815720 49188840 53723580 107447160 262350149 524700298 787050447 1049400596 1252654807 1311750745 1574100894 2098801192 2505309614 2623501490 3148201788 3757964421 3935252235 5010619228 5247002980 6263274035 6296403576 7515928842 7870504470 10021238456 10494005960 12526548070 15031857684 15741008940 18789822105 25053096140 30063715368 31482017880 37579644210 50106192280 75159288420 150318576840 367027858451 734055716902 1101083575353 1468111433804 1835139292255 2202167150706 2936222867608 3670278584510 4404334301412 5505417876765 7340557169020 8808668602824 11010835753530 14681114338040 22021671507060 44043343014120