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14492293335 = 3351327972
BaseRepresentation
bin11010111111100111…
…01101100011010111
31101101222210210002000
431133303231203113
5214140011341320
610354020050343
71022063314032
oct153763554327
941358723060
1014492293335
116167581533
1229855339b3
13149c5c6200
149b6a24019
1559c477c90
hex35fced8d7

14492293335 has 72 divisors (see below), whose sum is σ = 27933427440. Its totient is φ = 7125715584.

The previous prime is 14492293327. The next prime is 14492293363. The reversal of 14492293335 is 53339229441.

14492293335 is a `hidden beast` number, since 144 + 92 + 2 + 93 + 335 = 666.

It is not a de Polignac number, because 14492293335 - 23 = 14492293327 is a prime.

It is a super-2 number, since 2×144922933352 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18183157 + ... + 18183953.

It is an arithmetic number, because the mean of its divisors is an integer number (387964270).

Almost surely, 214492293335 is an apocalyptic number.

14492293335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14492293335 is a deficient number, since it is larger than the sum of its proper divisors (13441134105).

14492293335 is an frugal number, since it uses more digits than its factorization.

14492293335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 818 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The spelling of 14492293335 in words is "fourteen billion, four hundred ninety-two million, two hundred ninety-three thousand, three hundred thirty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 169 195 351 507 585 797 845 1521 1755 2391 2535 3985 4563 7173 7605 10361 11955 21519 22815 31083 35865 51805 93249 107595 134693 155415 279747 404079 466245 635209 673465 1212237 1398735 1905627 2020395 3176045 3636711 5716881 6061185 8257717 9528135 17150643 18183555 24773151 28584405 41288585 74319453 85753215 107350321 123865755 222958359 322050963 371597265 536751605 966152889 1114791795 1610254815 2898458667 4830764445 14492293335