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143126616321 = 32134192932117
BaseRepresentation
bin1000010101001100000…
…0101101100100000001
3111200102201222110000200
42011103000231210001
54321110403210241
6145430152035413
713224545110533
oct2052300554401
9450381873020
10143126616321
1155777275277
12238a4992b69
131065c578b20
146cda993853
153aca4764b6
hex215302d901

143126616321 has 48 divisors (see below), whose sum is σ = 228324292560. Its totient is φ = 85834506240.

The previous prime is 143126616317. The next prime is 143126616329. The reversal of 143126616321 is 123616621341.

143126616321 is a `hidden beast` number, since 1 + 4 + 3 + 1 + 2 + 6 + 616 + 32 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 117498128400 + 25628487921 = 342780^2 + 160089^2 .

It is not a de Polignac number, because 143126616321 - 22 = 143126616317 is a prime.

It is not an unprimeable number, because it can be changed into a prime (143126616329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4440355 + ... + 4472471.

It is an arithmetic number, because the mean of its divisors is an integer number (4756756095).

Almost surely, 2143126616321 is an apocalyptic number.

It is an amenable number.

143126616321 is a deficient number, since it is larger than the sum of its proper divisors (85197676239).

143126616321 is a wasteful number, since it uses less digits than its factorization.

143126616321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33106 (or 33103 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The spelling of 143126616321 in words is "one hundred forty-three billion, one hundred twenty-six million, six hundred sixteen thousand, three hundred twenty-one".

Divisors: 1 3 9 13 39 41 117 123 369 533 929 1599 2787 4797 8361 12077 32117 36231 38089 96351 108693 114267 289053 342801 417521 495157 1252563 1316797 1485471 3757689 3950391 4456413 11851173 17118361 29836693 51355083 89510079 154065249 268530237 387877009 1163631027 1223304413 3490893081 3669913239 11009739717 15902957369 47708872107 143126616321