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143060006500 = 225317149311273
BaseRepresentation
bin1000010100111100001…
…0100111011001100100
3111200021002122022112021
42011033002213121210
54320441330202000
6145415412232524
713223105664025
oct2051702473144
9450232568467
10143060006500
115574270a334
122388660b744
131064b826428
146cd1bb4c4c
153ac46ba11a
hex214f0a7664

143060006500 has 96 divisors (see below), whose sum is σ = 331073005536. Its totient is φ = 53817036800.

The previous prime is 143060006497. The next prime is 143060006527. The reversal of 143060006500 is 5600060341.

It can be written as a sum of positive squares in 16 ways, for example, as 69319517796 + 73740488704 = 263286^2 + 271552^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 31 ways as a sum of consecutive naturals, for example, 12684864 + ... + 12696136.

It is an arithmetic number, because the mean of its divisors is an integer number (3448677141).

Almost surely, 2143060006500 is an apocalyptic number.

143060006500 is a gapful number since it is divisible by the number (10) 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 143060006500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165536502768).

143060006500 is an abundant number, since it is smaller than the sum of its proper divisors (188012999036).

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

143060006500 is a wasteful number, since it uses less digits than its factorization.

143060006500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12802 (or 12790 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 143060006500 its reverse (5600060341), we get a palindrome (148660066841).

The spelling of 143060006500 in words is "one hundred forty-three billion, sixty million, six thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 250 340 425 500 850 1493 1700 2125 2986 4250 5972 7465 8500 11273 14930 22546 25381 29860 37325 45092 50762 56365 74650 101524 112730 126905 149300 186625 191641 225460 253810 281825 373250 383282 507620 563650 634525 746500 766564 958205 1127300 1269050 1409125 1916410 2538100 2818250 3172625 3832820 4791025 5636500 6345250 9582050 12690500 16830589 19164100 23955125 33661178 47910250 67322356 84152945 95820500 168305890 286120013 336611780 420764725 572240026 841529450 1144480052 1430600065 1683058900 2103823625 2861200130 4207647250 5722400260 7153000325 8415294500 14306000650 28612001300 35765001625 71530003250 143060006500