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13453216144 = 2410722712
BaseRepresentation
bin11001000011101111…
…11100100110010000
31021201120121012010121
430201313330212100
5210023010404034
610102541040024
7654245310334
oct144167744620
937646535117
1013453216144
115783a98455
122735556014
131365256534
14918a237c4
1553b1281b4
hex321dfc990

13453216144 has 45 divisors (see below), whose sum is σ = 26408935371. Its totient is φ = 6639153120.

The previous prime is 13453216129. The next prime is 13453216163. The reversal of 13453216144 is 44161235431.

The square root of 13453216144 is 115988.

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

13453216144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 49642729 + ... + 49642999.

Almost surely, 213453216144 is an apocalyptic number.

13453216144 is the 115988-th square number.

It is an amenable number.

13453216144 is a deficient number, since it is larger than the sum of its proper divisors (12955719227).

13453216144 is an frugal number, since it uses more digits than its factorization.

13453216144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 380 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The spelling of 13453216144 in words is "thirteen billion, four hundred fifty-three million, two hundred sixteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 107 214 271 428 542 856 1084 1712 2168 4336 11449 22898 28997 45796 57994 73441 91592 115988 146882 183184 231976 293764 463952 587528 1175056 3102679 6205358 7858187 12410716 15716374 24821432 31432748 49642864 62865496 125730992 840826009 1681652018 3363304036 6726608072 13453216144