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143341334444 = 227211293496569
BaseRepresentation
bin1000010101111111001…
…1110010111110101100
3111200222201000020220202
42011133303302332230
54322030340200234
6145503342133032
713233063145100
oct2053763627654
9450881006822
10143341334444
11558774a0170
1223944881178
1310694bb7379
146d1b2c7900
153ade23b77e
hex215fcf2fac

143341334444 has 144 divisors (see below), whose sum is σ = 330300180000. Its totient is φ = 53758817280.

The previous prime is 143341334369. The next prime is 143341334447. The reversal of 143341334444 is 444433143341.

It is a junction number, because it is equal to n+sod(n) for n = 143341334398 and 143341334407.

It is not an unprimeable number, because it can be changed into a prime (143341334447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21817592 + ... + 21824160.

It is an arithmetic number, because the mean of its divisors is an integer number (2293751250).

Almost surely, 2143341334444 is an apocalyptic number.

143341334444 is a gapful number since it is divisible by the number (14) 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 143341334444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165150090000).

143341334444 is an abundant number, since it is smaller than the sum of its proper divisors (186958845556).

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

143341334444 is a wasteful number, since it uses less digits than its factorization.

143341334444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6976 (or 6967 counting only the distinct ones).

The product of its digits is 331776, while the sum is 38.

Adding to 143341334444 its reverse (444433143341), we get a palindrome (587774477785).

The spelling of 143341334444 in words is "one hundred forty-three billion, three hundred forty-one million, three hundred thirty-four thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 29 44 49 58 77 98 116 154 196 203 308 319 349 406 539 638 698 812 1078 1276 1396 1421 2156 2233 2443 2842 3839 4466 4886 5684 6569 7678 8932 9772 10121 13138 15356 15631 17101 20242 26276 26873 31262 34202 40484 45983 53746 62524 68404 70847 72259 91966 107492 111331 141694 144518 183932 188111 190501 222662 283388 289036 321881 376222 381002 445324 495929 505813 643762 752444 762004 779317 991858 1011626 1287524 1333507 1558634 1983716 2023252 2095511 2292581 2667014 3117268 3540691 4191022 4585162 5334028 5455219 7081382 8382044 9170324 9334549 10910438 14162764 14668577 16048067 18669098 21820876 25218391 29337154 32096134 37338196 50436782 58674308 64192268 66484849 100873564 102680039 112336469 132969698 176528737 205360078 224672938 265939396 353057474 410720156 449345876 465393943 706114948 731333339 930787886 1235701159 1462666678 1861575772 2471402318 2925333356 3257757601 4942804636 5119333373 6515515202 10238666746 13031030404 20477333492 35835333611 71670667222 143341334444