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143665634656401 = 3112131011090927631
BaseRepresentation
bin100000101010100111000011…
…000111101100000010010001
3200211200022010002112212202120
4200222213003013230002101
5122312304204433001101
61225315025331204453
742155333232543444
oct4052470307540221
9624608102485676
10143665634656401
114185a287454300
1214143442446729
1362217c3ac79a0
14276964d3c765b
151192115d1db36
hex82a9c31ec091

143665634656401 has 96 divisors (see below), whose sum is σ = 229021845803520. Its totient is φ = 79566442560000.

The previous prime is 143665634656393. The next prime is 143665634656421. The reversal of 143665634656401 is 104656436566341.

It is not a de Polignac number, because 143665634656401 - 23 = 143665634656393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (143665634656421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5199422856 + ... + 5199450486.

It is an arithmetic number, because the mean of its divisors is an integer number (2385644227120).

Almost surely, 2143665634656401 is an apocalyptic number.

143665634656401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

143665634656401 is a deficient number, since it is larger than the sum of its proper divisors (85356211147119).

143665634656401 is a wasteful number, since it uses less digits than its factorization.

143665634656401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38679 (or 38668 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 60.

The spelling of 143665634656401 in words is "one hundred forty-three trillion, six hundred sixty-five billion, six hundred thirty-four million, six hundred fifty-six thousand, four hundred one".

Divisors: 1 3 11 13 33 39 101 121 143 303 363 429 1111 1313 1573 3333 3939 4719 10909 12221 14443 27631 32727 36663 43329 82893 119999 141817 158873 303941 359203 359997 425451 476619 911823 1077609 1101809 1319989 1559987 2790731 3305427 3343351 3951233 3959967 4679961 8372193 10030053 11853699 12119899 14323517 17159857 30698041 36279503 36359697 42970551 43463563 51479571 92094123 108838509 130390689 133318889 157558687 301426579 337678451 399074533 399956667 472676061 904279737 1013035353 1197223599 1733145557 3315692369 3918545527 4389819863 5199436671 9947077107 11755636581 13169459589 30444084479 36472616059 43104000797 91332253437 109417848177 129312002391 334884929269 395773098227 474144008767 1004654787807 1187319294681 1422432026301 3683734221959 4353504080497 11051202665877 13060512241491 47888544885467 143665634656401