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143632241633412 = 2232716334710077071
BaseRepresentation
bin100000101010000111111100…
…101111011010100010000100
3200211120002220212200112212100
4200222013330233122202010
5122311232312324232122
61225251424010552100
742153041562536340
oct4052077457324204
9624502825615770
10143632241633412
1141847100a0a944
1214138a83138630
13621b6017b069c
142767ba24aa620
15119130e3b9aac
hex82a1fcbda884

143632241633412 has 144 divisors (see below), whose sum is σ = 418686379517952. Its totient is φ = 40668474790080.

The previous prime is 143632241633359. The next prime is 143632241633431. The reversal of 143632241633412 is 214336142236341.

143632241633412 is a `hidden beast` number, since 1 + 4 + 3 + 6 + 3 + 2 + 2 + 4 + 1 + 633 + 4 + 1 + 2 = 666.

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

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, 9214837 + ... + 19291907.

It is an arithmetic number, because the mean of its divisors is an integer number (2907544302208).

Almost surely, 2143632241633412 is an apocalyptic number.

143632241633412 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 143632241633412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209343189758976).

143632241633412 is an abundant number, since it is smaller than the sum of its proper divisors (275054137884540).

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

143632241633412 is a wasteful number, since it uses less digits than its factorization.

143632241633412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10077598 (or 10077593 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 45.

Adding to 143632241633412 its reverse (214336142236341), we get a palindrome (357968383869753).

The spelling of 143632241633412 in words is "one hundred forty-three trillion, six hundred thirty-two billion, two hundred forty-one million, six hundred thirty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 163 252 326 347 489 652 694 978 1041 1141 1388 1467 1956 2082 2282 2429 2934 3123 3423 4164 4564 4858 5868 6246 6846 7287 9716 10269 12492 13692 14574 20538 21861 29148 41076 43722 56561 87444 113122 169683 226244 339366 395927 509049 678732 791854 1018098 1187781 1583708 2036196 2375562 3563343 4751124 7126686 10077071 14253372 20154142 30231213 40308284 60462426 70539497 90693639 120924852 141078994 181387278 211618491 282157988 362774556 423236982 634855473 846473964 1269710946 1642562573 2539421892 3285125146 3496743637 4927687719 6570250292 6993487274 9855375438 10490230911 11497938011 13986974548 14783063157 19710750876 20980461822 22995876022 24477205459 29566126314 31470692733 34493814033 41960923644 45991752044 48954410918 59132252628 62941385466 68987628066 73431616377 97908821836 103481442099 125882770932 137975256132 146863232754 206962884198 220294849131 293726465508 413925768396 440589698262 569969212831 881179396524 1139938425662 1709907638493 2279876851324 3419815276986 3989784489817 5129722915479 6839630553972 7979568979634 10259445830958 11969353469451 15959137959268 20518891661916 23938706938902 35908060408353 47877413877804 71816120816706 143632241633412