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4144132630000 = 24541123424903
BaseRepresentation
bin111100010011100001100…
…011011010010111110000
3112200011201201122221021201
4330103201203122113300
51020344140423130000
612451442132300544
7605255320102306
oct74234143322760
915604651587251
104144132630000
111358575917900
1256b1b1771754
13240a36908a0c
14104811768276
1572be98ee96a
hex3c4e18da5f0

4144132630000 has 150 divisors (see below), whose sum is σ = 11028406648952. Its totient is φ = 1506956880000.

The previous prime is 4144132629997. The next prime is 4144132630009. The reversal of 4144132630000 is 362314414.

4144132630000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144132630009) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 502452 + ... + 2922451.

Almost surely, 24144132630000 is an apocalyptic number.

4144132630000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144132630000 is an abundant number, since it is smaller than the sum of its proper divisors (6884274018952).

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

4144132630000 is a wasteful number, since it uses less digits than its factorization.

4144132630000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424953 (or 3424921 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 4144132630000 its reverse (362314414), we get a palindrome (4144494944414).

The spelling of 4144132630000 in words is "four trillion, one hundred forty-four billion, one hundred thirty-two million, six hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 125 176 200 220 242 250 275 400 440 484 500 550 605 625 880 968 1000 1100 1210 1250 1375 1936 2000 2200 2420 2500 2750 3025 4400 4840 5000 5500 6050 6875 9680 10000 11000 12100 13750 15125 22000 24200 27500 30250 48400 55000 60500 75625 110000 121000 151250 242000 302500 605000 1210000 3424903 6849806 13699612 17124515 27399224 34249030 37673933 54798448 68498060 75347866 85622575 136996120 150695732 171245150 188369665 273992240 301391464 342490300 376739330 414413263 428112875 602782928 684980600 753478660 828826526 856225750 941848325 1369961200 1506957320 1657653052 1712451500 1883696650 2072066315 2140564375 3013914640 3315306104 3424903000 3767393300 4144132630 4281128750 4709241625 6630612208 6849806000 7534786600 8288265260 8562257500 9418483250 10360331575 15069573200 16576530520 17124515000 18836966500 20720663150 23546208125 33153061040 34249030000 37673933000 41441326300 47092416250 51801657875 75347866000 82882652600 94184832500 103603315750 165765305200 188369665000 207206631500 259008289375 376739330000 414413263000 518016578750 828826526000 1036033157500 2072066315000 4144132630000