Search a number
-
+
14656001481 = 32111913756873
BaseRepresentation
bin11011010011001000…
…01101010111001001
31101211101212000102200
431221210031113021
5220003414021411
610422144550413
71026121646202
oct155144152711
941741760380
1014656001481
116240a26920
122a10322409
1314c74b4734
149d067a5a9
155aba13e56
hex36990d5c9

14656001481 has 48 divisors (see below), whose sum is σ = 24487669440. Its totient is φ = 8353359360.

The previous prime is 14656001467. The next prime is 14656001501. The reversal of 14656001481 is 18410065641.

14656001481 is a `hidden beast` number, since 1 + 4 + 6 + 5 + 600 + 1 + 48 + 1 = 666.

14656001481 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14656001481 - 29 = 14656000969 is a prime.

It is a super-2 number, since 2×146560014812 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14656008481) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 229261 + ... + 286133.

It is an arithmetic number, because the mean of its divisors is an integer number (510159780).

Almost surely, 214656001481 is an apocalyptic number.

14656001481 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14656001481 is a deficient number, since it is larger than the sum of its proper divisors (9831667959).

14656001481 is a wasteful number, since it uses less digits than its factorization.

14656001481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57046 (or 57043 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 14656001481 in words is "fourteen billion, six hundred fifty-six million, one thousand, four hundred eighty-one".

Divisors: 1 3 9 11 19 33 57 99 137 171 209 411 627 1233 1507 1881 2603 4521 7809 13563 23427 28633 56873 85899 170619 257697 511857 625603 1080587 1876809 3241761 5630427 7791601 9725283 11886457 23374803 35659371 70124409 85707611 106978113 148040419 257122833 444121257 771368499 1332363771 1628444609 4885333827 14656001481