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143998814466 = 2321317213915319
BaseRepresentation
bin1000011000011011111…
…1111000100100000010
3111202200112011200221200
42012012333320210002
54324402144030331
6150052510202030
713255265504343
oct2060677704402
9452615150850
10143998814466
1156084638691
1223aa8ab3316
131076b189bc0
146d807540ca
153b2bd105e6
hex2186ff8902

143998814466 has 144 divisors (see below), whose sum is σ = 359515665600. Its totient is φ = 41398304256.

The previous prime is 143998814441. The next prime is 143998814473. The reversal of 143998814466 is 664418899341.

143998814466 is a `hidden beast` number, since 1 + 4 + 3 + 9 + 98 + 81 + 4 + 466 = 666.

143998814466 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1439988144662 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9392355 + ... + 9407673.

Almost surely, 2143998814466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 143998814466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179757832800).

143998814466 is an abundant number, since it is smaller than the sum of its proper divisors (215516851134).

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

143998814466 is a wasteful number, since it uses less digits than its factorization.

143998814466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15513 (or 15493 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 143998814466 in words is "one hundred forty-three billion, nine hundred ninety-eight million, eight hundred fourteen thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 139 153 221 234 278 289 306 417 442 578 663 834 867 1251 1326 1734 1807 1989 2363 2502 2601 3614 3757 3978 4726 5202 5421 7089 7514 10842 11271 14178 15319 16263 21267 22542 30638 30719 32526 33813 40171 42534 45957 61438 67626 80342 91914 92157 120513 137871 184314 199147 241026 260423 275742 276471 361539 398294 520846 522223 552942 597441 723078 781269 1044446 1194882 1562538 1566669 1792323 2129341 2343807 3133338 3385499 3584646 4258682 4427191 4687614 4700007 6388023 6770998 8854382 9400014 10156497 12776046 13281573 19164069 20312994 26563146 27681433 30469491 36198797 38328138 39844719 55362866 57553483 60938982 72397594 79689438 83044299 108596391 115106966 166088598 172660449 217192782 249132897 325789173 345320898 470584361 498265794 517981347 615379549 651578346 941168722 1035962694 1230759098 1411753083 1846138647 2823506166 3692277294 4235259249 5538415941 7999934137 8470518498 11076831882 15999868274 23999802411 47999604822 71999407233 143998814466