Search a number
-
+
4234212114440 = 23571110313347031
BaseRepresentation
bin111101100111011010101…
…101011000000000001000
3112222210020112002212120012
4331213122231120000020
51023333131300130230
613001100432251052
7614624503064030
oct75473255300010
915883215085505
104234212114440
1113927a0397810
125847510a0a88
1324939103a7b9
14108d190368c0
157521cc2c395
hex3d9dab58008

4234212114440 has 128 divisors (see below), whose sum is σ = 11993109073920. Its totient is φ = 1306941177600.

The previous prime is 4234212114413. The next prime is 4234212114443. The reversal of 4234212114440 is 444112124324.

It is a junction number, because it is equal to n+sod(n) for n = 4234212114397 and 4234212114406.

It is not an unprimeable number, because it can be changed into a prime (4234212114443) by changing a digit.

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, 6356276 + ... + 6990755.

It is an arithmetic number, because the mean of its divisors is an integer number (93696164640).

Almost surely, 24234212114440 is an apocalyptic number.

4234212114440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4234212114440 is an abundant number, since it is smaller than the sum of its proper divisors (7758896959480).

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

4234212114440 is a wasteful number, since it uses less digits than its factorization.

4234212114440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13347163 (or 13347159 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 4234212114440 its reverse (444112124324), we get a palindrome (4678324238764).

The spelling of 4234212114440 in words is "four trillion, two hundred thirty-four billion, two hundred twelve million, one hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 103 110 140 154 206 220 280 308 385 412 440 515 616 721 770 824 1030 1133 1442 1540 2060 2266 2884 3080 3605 4120 4532 5665 5768 7210 7931 9064 11330 14420 15862 22660 28840 31724 39655 45320 63448 79310 158620 317240 13347031 26694062 53388124 66735155 93429217 106776248 133470310 146817341 186858434 266940620 293634682 373716868 467146085 533881240 587269364 734086705 747433736 934292170 1027721387 1174538728 1374744193 1468173410 1868584340 2055442774 2749488386 2936346820 3737168680 4110885548 5138606935 5498976772 5872693640 6873720965 8221771096 9623209351 10277213870 10997953544 13747441930 15122186123 19246418702 20554427740 27494883860 30244372246 38492837404 41108855480 48116046755 54989767720 60488744492 75610930615 76985674808 96232093510 105855302861 120977488984 151221861230 192464187020 211710605722 302443722460 384928374040 423421211444 529276514305 604887444920 846842422888 1058553028610 2117106057220 4234212114440