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4144623213240 = 2332561188735119
BaseRepresentation
bin111100010011111110110…
…010110101101010111000
3112200012222220210010222100
4330103332302311222320
51020401142020310430
612452002535223400
7605303425016166
oct74237662655270
915605886703870
104144623213240
1113587a78322a4
1256b309b17b60
13240ab4444863
1410485a98c236
1572c27a07960
hex3c4fecb5ab8

4144623213240 has 96 divisors (see below), whose sum is σ = 13690845604800. Its totient is φ = 1087114279680.

The previous prime is 4144623213221. The next prime is 4144623213251. The reversal of 4144623213240 is 423123264414.

4144623213240 is a `hidden beast` number, since 4 + 1 + 4 + 4 + 6 + 2 + 321 + 324 + 0 = 666.

It is a super-2 number, since 2×41446232132402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4144623213195 and 4144623213204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94345600 + ... + 94389519.

It is an arithmetic number, because the mean of its divisors is an integer number (142612975050).

Almost surely, 24144623213240 is an apocalyptic number.

4144623213240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144623213240 is an abundant number, since it is smaller than the sum of its proper divisors (9546222391560).

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

4144623213240 is a wasteful number, since it uses less digits than its factorization.

4144623213240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188735197 (or 188735190 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 4144623213240 its reverse (423123264414), we get a palindrome (4567746477654).

The spelling of 4144623213240 in words is "four trillion, one hundred forty-four billion, six hundred twenty-three million, two hundred thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 61 72 90 120 122 180 183 244 305 360 366 488 549 610 732 915 1098 1220 1464 1830 2196 2440 2745 3660 4392 5490 7320 10980 21960 188735119 377470238 566205357 754940476 943675595 1132410714 1509880952 1698616071 1887351190 2264821428 2831026785 3397232142 3774702380 4529642856 5662053570 6794464284 7549404760 8493080355 11324107140 11512842259 13588928568 16986160710 22648214280 23025684518 33972321420 34538526777 46051369036 57564211295 67944642840 69077053554 92102738072 103615580331 115128422590 138154107108 172692633885 207231160662 230256845180 276308214216 345385267770 414462321324 460513690360 518077901655 690770535540 828924642648 1036155803310 1381541071080 2072311606620 4144623213240