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144203986564 = 221124124212
BaseRepresentation
bin1000011001001100111…
…0100011011010000100
3111210012211020112011021
42012103032203122010
54330312210032224
6150125115520524
713263336442621
oct2062316433204
9453184215137
10144203986564
115617a433500
1223b45759144
13107a1835401
146d9dac1348
153b3ed3c1e4
hex21933a3684

144203986564 has 81 divisors (see below), whose sum is σ = 284991527919. Its totient is φ = 63796656000.

The previous prime is 144203986541. The next prime is 144203986613. The reversal of 144203986564 is 465689302441.

The square root of 144203986564 is 379742.

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

It can be written as a sum of positive squares in 4 ways, for example, as 132392644164 + 11811342400 = 363858^2 + 108680^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 342527074 + ... + 342527494.

Almost surely, 2144203986564 is an apocalyptic number.

144203986564 is the 379742-nd square number.

It is an amenable number.

144203986564 is a deficient number, since it is larger than the sum of its proper divisors (140787541355).

144203986564 is an equidigital number, since it uses as much as digits as its factorization.

144203986564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 52.

The spelling of 144203986564 in words is "one hundred forty-four billion, two hundred three million, nine hundred eighty-six thousand, five hundred sixty-four".

Divisors: 1 2 4 11 22 41 44 82 121 164 242 421 451 484 842 902 1681 1684 1804 3362 4631 4961 6724 9262 9922 17261 18491 18524 19844 34522 36982 50941 69044 73964 101882 177241 189871 203401 203764 354482 379742 406802 707701 708964 759484 813604 1415402 1949651 2088581 2830804 3899302 4177162 7266881 7784711 7798604 8354324 14533762 15569422 21446161 29067524 31138844 42892322 79935691 85631821 85784644 159871382 171263642 297942121 319742764 342527284 595884242 879292601 1191768484 1758585202 3277363331 3517170404 6554726662 13109453324 36050996641 72101993282 144203986564