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1144101343230 = 2325194127162119
BaseRepresentation
bin10000101001100001110…
…000010000111111111110
311001101010101112010110100
4100221201300100333332
5122221104420440410
62233332022221530
7145441616650146
oct20514160207776
94041111463410
101144101343230
1140123542199a
121658992848a6
1383b71773241
143d536649926
151eb6257a8c0
hex10a61c10ffe

1144101343230 has 96 divisors (see below), whose sum is σ = 3132002764800. Its totient is φ = 288964310976.

The previous prime is 1144101343141. The next prime is 1144101343247. The reversal of 1144101343230 is 323431014411.

1144101343230 is a `hidden beast` number, since 1 + 1 + 4 + 410 + 13 + 4 + 3 + 230 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1144101343194 and 1144101343203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6976111 + ... + 7138229.

It is an arithmetic number, because the mean of its divisors is an integer number (32625028800).

Almost surely, 21144101343230 is an apocalyptic number.

1144101343230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144101343230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566001382400).

1144101343230 is an abundant number, since it is smaller than the sum of its proper divisors (1987901421570).

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

1144101343230 is a wasteful number, since it uses less digits than its factorization.

1144101343230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166278 (or 166275 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1144101343230 its reverse (323431014411), we get a palindrome (1467532357641).

The spelling of 1144101343230 in words is "one trillion, one hundred forty-four billion, one hundred one million, three hundred forty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 4127 8254 12381 20635 24762 37143 41270 61905 74286 78413 123810 156826 162119 185715 235239 324238 371430 392065 470478 486357 705717 784130 810595 972714 1176195 1411434 1459071 1621190 2352390 2431785 2918142 3080261 3528585 4863570 6160522 7057170 7295355 9240783 14590710 15401305 18481566 27722349 30802610 46203915 55444698 92407830 138611745 277223490 669065113 1338130226 2007195339 3345325565 4014390678 6021586017 6690651130 10035976695 12043172034 12712237147 20071953390 25424474294 30107930085 38136711441 60215860170 63561185735 76273422882 114410134323 127122371470 190683557205 228820268646 381367114410 572050671615 1144101343230