Search a number
-
+
13945305776 = 241384162971
BaseRepresentation
bin11001111110011010…
…00111101010110000
31022222212112221012112
430333031013222300
5212024444241101
610223440144452
71002402100103
oct147715075260
938885487175
1013945305776
115a068416a6
122852308128
13141319bc2c
1496411a73a
1556942c6bb
hex33f347ab0

13945305776 has 20 divisors (see below), whose sum is σ = 27021411144. Its totient is φ = 6972038400.

The previous prime is 13945305767. The next prime is 13945305779. The reversal of 13945305776 is 67750354931.

It is a super-2 number, since 2×139453057762 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13945305779) 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 3 ways as a sum of consecutive naturals, for example, 189971 + ... + 252941.

Almost surely, 213945305776 is an apocalyptic number.

13945305776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13945305776 is a deficient number, since it is larger than the sum of its proper divisors (13076105368).

13945305776 is a wasteful number, since it uses less digits than its factorization.

13945305776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76820 (or 76814 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 50.

The spelling of 13945305776 in words is "thirteen billion, nine hundred forty-five million, three hundred five thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 13841 27682 55364 62971 110728 125942 221456 251884 503768 1007536 871581611 1743163222 3486326444 6972652888 13945305776