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143244411312 = 243371071495059
BaseRepresentation
bin1000010101101000001…
…0000100000110110000
3111200201221122001101010
42011122002010012300
54321331032130222
6145450000510520
713230505256262
oct2053202040660
9450657561333
10143244411312
1155827810402
122391831b440
131067aab01c2
146d0c497b32
153ad599380c
hex215a0841b0

143244411312 has 160 divisors (see below), whose sum is σ = 386252064000. Its totient is φ = 45705544704.

The previous prime is 143244411307. The next prime is 143244411337. The reversal of 143244411312 is 213114442341.

It is a happy number.

It is a super-2 number, since 2×1432444113122 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 143244411312.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28312239 + ... + 28317297.

It is an arithmetic number, because the mean of its divisors is an integer number (2414075400).

Almost surely, 2143244411312 is an apocalyptic number.

143244411312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 143244411312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193126032000).

143244411312 is an abundant number, since it is smaller than the sum of its proper divisors (243007652688).

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

143244411312 is a wasteful number, since it uses less digits than its factorization.

143244411312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5363 (or 5357 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 143244411312 its reverse (213114442341), we get a palindrome (356358853653).

The spelling of 143244411312 in words is "one hundred forty-three billion, two hundred forty-four million, four hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 107 111 148 149 214 222 296 298 321 428 444 447 592 596 642 856 888 894 1192 1284 1712 1776 1788 2384 2568 3576 3959 5059 5136 5513 7152 7918 10118 11026 11877 15177 15836 15943 16539 20236 22052 23754 30354 31672 31886 33078 40472 44104 47508 47829 60708 63344 63772 66156 80944 88208 95016 95658 121416 127544 132312 187183 190032 191316 242832 255088 264624 374366 382632 541313 561549 589891 748732 753791 765264 1082626 1123098 1179782 1497464 1507582 1623939 1769673 2165252 2246196 2261373 2359564 2994928 3015164 3247878 3539346 4330504 4492392 4522746 4719128 6030328 6495756 7078692 8661008 8984784 9045492 9438256 12060656 12991512 14157384 18090984 20028581 25983024 27890267 28314768 36181968 40057162 55780534 60085743 80114324 80655637 83670801 111561068 120171486 160228648 161311274 167341602 223122136 240342972 241966911 320457296 322622548 334683204 446244272 480685944 483933822 645245096 669366408 961371888 967867644 1290490192 1338732816 1935735288 2984258569 3871470576 5968517138 8952775707 11937034276 17905551414 23874068552 35811102828 47748137104 71622205656 143244411312