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13303242144 = 253322376883
BaseRepresentation
bin11000110001110111…
…10101110110100000
31021100010101201111000
430120323311312200
5204221112222034
610040022352000
7650444456343
oct143073656640
937303351430
1013303242144
1157073737a5
1226b328b600
13134016641a
14902b4445a
1552cda1599
hex318ef5da0

13303242144 has 96 divisors (see below), whose sum is σ = 38824107840. Its totient is φ = 4431787776.

The previous prime is 13303242083. The next prime is 13303242187. The reversal of 13303242144 is 44124230331.

13303242144 is a `hidden beast` number, since 1 + 330 + 324 + 2 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1929327 + ... + 1936209.

It is an arithmetic number, because the mean of its divisors is an integer number (404417790).

Almost surely, 213303242144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13303242144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19412053920).

13303242144 is an abundant number, since it is smaller than the sum of its proper divisors (25520865696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13303242144 is a wasteful number, since it uses less digits than its factorization.

13303242144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9139 (or 9125 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13303242144 its reverse (44124230331), we get a palindrome (57427472475).

The spelling of 13303242144 in words is "thirteen billion, three hundred three million, two hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2237 4474 6711 6883 8948 13422 13766 17896 20133 20649 26844 27532 35792 40266 41298 53688 55064 60399 61947 71584 80532 82596 107376 110128 120798 123894 161064 165192 185841 214752 220256 241596 247788 322128 330384 371682 483192 495576 644256 660768 743364 966384 991152 1486728 1932768 1982304 2973456 5946912 15397271 30794542 46191813 61589084 92383626 123178168 138575439 184767252 246356336 277150878 369534504 415726317 492712672 554301756 739069008 831452634 1108603512 1478138016 1662905268 2217207024 3325810536 4434414048 6651621072 13303242144