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144800002457 = 1129411072967
BaseRepresentation
bin1000011011011011000…
…0001011000110011001
3111211202100202021020222
42012312300023012121
54333022300034312
6150304210325425
713314164466365
oct2066660130631
9454670667228
10144800002457
1156455910020
1224091289875
1310868167736
147018d0c2a5
153b7731e672
hex21b6c0b199

144800002457 has 48 divisors (see below), whose sum is σ = 169150101120. Its totient is φ = 122711366400.

The previous prime is 144800002447. The next prime is 144800002483. The reversal of 144800002457 is 754200008441.

It is not a de Polignac number, because 144800002457 - 24 = 144800002441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144800002447) 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, 149740988 + ... + 149741954.

It is an arithmetic number, because the mean of its divisors is an integer number (3523960440).

Almost surely, 2144800002457 is an apocalyptic number.

It is an amenable number.

144800002457 is a deficient number, since it is larger than the sum of its proper divisors (24350098663).

144800002457 is a wasteful number, since it uses less digits than its factorization.

144800002457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 35.

The spelling of 144800002457 in words is "one hundred forty-four billion, eight hundred million, two thousand, four hundred fifty-seven".

Divisors: 1 11 29 41 107 319 451 967 1177 1189 3103 4387 10637 11449 13079 28043 34133 39647 48257 103469 125939 127223 308473 332021 436117 469409 1138159 1149763 1399453 3000601 3652231 4242229 5163499 11071183 12647393 13612861 33006611 46664519 121783013 123024641 149741471 321064307 453918503 1353271051 3531707377 4993103533 13163636587 144800002457