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12144444210 = 234547714493
BaseRepresentation
bin10110100111101110…
…11000001100110010
31011100100220200120000
423103313120030302
5144332434203320
65325025330430
7606644033613
oct132367301462
934310820500
1012144444210
115172249758
12242b196a16
1311b7069982
14832c9bc0a
154b12a3c90
hex2d3dd8332

12144444210 has 160 divisors (see below), whose sum is σ = 33827092992. Its totient is φ = 3124275840.

The previous prime is 12144444167. The next prime is 12144444229. The reversal of 12144444210 is 1244444121.

It is a happy number.

12144444210 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 4 + 444 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2700724 + ... + 2705216.

Almost surely, 212144444210 is an apocalyptic number.

12144444210 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 12144444210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16913546496).

12144444210 is an abundant number, since it is smaller than the sum of its proper divisors (21682648782).

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

12144444210 is a wasteful number, since it uses less digits than its factorization.

12144444210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4630 (or 4621 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 12144444210 its reverse (1244444121), we get a palindrome (13388888331).

The spelling of 12144444210 in words is "twelve billion, one hundred forty-four million, four hundred forty-four thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 71 81 90 94 135 141 142 162 213 235 270 282 355 405 423 426 470 639 705 710 810 846 1065 1269 1278 1410 1917 2115 2130 2538 3195 3337 3807 3834 4230 4493 5751 6345 6390 6674 7614 8986 9585 10011 11502 12690 13479 16685 19035 19170 20022 22465 26958 28755 30033 33370 38070 40437 44930 50055 57510 60066 67395 80874 90099 100110 121311 134790 150165 180198 202185 211171 242622 270297 300330 319003 363933 404370 422342 450495 540594 606555 633513 638006 727866 900990 957009 1055855 1213110 1267026 1351485 1595015 1819665 1900539 1914018 2111710 2702970 2871027 3167565 3190030 3639330 3801078 4785045 5701617 5742054 6335130 8613081 9502695 9570090 11403234 14355135 14993141 17104851 17226162 19005390 25839243 28508085 28710270 29986282 34209702 43065405 44979423 51678486 57016170 74965705 85524255 86130810 89958846 129196215 134938269 149931410 171048510 224897115 258392430 269876538 404814807 449794230 674691345 809629614 1214444421 1349382690 2024074035 2428888842 4048148070 6072222105 12144444210