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14121281889 = 321121322772
BaseRepresentation
bin11010010011011000…
…11010100101100001
31100110010200110001100
431021230122211201
5212410022010024
610253124025013
71006636626021
oct151154324541
940403613040
1014121281889
115a97106100
1228a1232169
131440794400
1497d647a81
15579add7c9
hex349b1a961

14121281889 has 81 divisors (see below), whose sum is σ = 24365553849. Its totient is φ = 7871497920.

The previous prime is 14121281887. The next prime is 14121281957. The reversal of 14121281889 is 98818212141.

It is a happy number.

The square root of 14121281889 is 118833.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6531387489 + 7589894400 = 80817^2 + 87120^2 .

It is not a de Polignac number, because 14121281889 - 21 = 14121281887 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14121281887) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 50979219 + ... + 50979495.

Almost surely, 214121281889 is an apocalyptic number.

14121281889 is the 118833-rd square number.

14121281889 is the 59417-th centered octagonal number.

It is an amenable number.

14121281889 is a deficient number, since it is larger than the sum of its proper divisors (10244271960).

14121281889 is a wasteful number, since it uses less digits than its factorization.

14121281889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 304 counting only the distinct ones).

The product of its digits is 73728, while the sum is 45.

The spelling of 14121281889 in words is "fourteen billion, one hundred twenty-one million, two hundred eighty-one thousand, eight hundred eighty-nine".

Divisors: 1 3 9 11 13 33 39 99 117 121 143 169 277 363 429 507 831 1089 1287 1521 1573 1859 2493 3047 3601 4719 5577 9141 10803 14157 16731 20449 27423 32409 33517 39611 46813 61347 76729 100551 118833 140439 184041 230187 301653 356499 421317 435721 514943 690561 844019 997477 1307163 1544829 2532057 2992431 3921489 4634487 5664373 7596171 8977293 9284209 10972247 12967201 16993119 27852627 32916741 38901603 50979357 83557881 98750223 116704809 120694717 142639211 362084151 427917633 1086252453 1283752899 1569031321 4707093963 14121281889