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507710401444 = 2217219211032
BaseRepresentation
bin1110110001101011110…
…01011110101110100100
31210112111012200200121101
413120311321132232210
531304242330321234
61025123335525444
751452352131011
oct7306571365644
91715435620541
10507710401444
111863563161a4
1282493229884
1338b526955ac
141a805264708
15d3179c6814
hex7635e5eba4

507710401444 has 81 divisors (see below), whose sum is σ = 997025655297. Its totient is φ = 226142460288.

The previous prime is 507710401439. The next prime is 507710401489. The reversal of 507710401444 is 444104017705.

The square root of 507710401444 is 712538.

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

It can be written as a sum of positive squares in only one way, i.e., 395276264100 + 112434137344 = 628710^2 + 335312^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 460298997 + ... + 460300099.

Almost surely, 2507710401444 is an apocalyptic number.

507710401444 is the 712538-th square number.

It is an amenable number.

507710401444 is a deficient number, since it is larger than the sum of its proper divisors (489315253853).

507710401444 is a wasteful number, since it uses less digits than its factorization.

507710401444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 37.

The spelling of 507710401444 in words is "five hundred seven billion, seven hundred ten million, four hundred one thousand, four hundred forty-four".

Divisors: 1 2 4 17 19 34 38 68 76 289 323 361 578 646 722 1103 1156 1292 1444 2206 4412 5491 6137 10982 12274 18751 20957 21964 24548 37502 41914 75004 83828 104329 208658 318767 356269 398183 417316 637534 712538 796366 1216609 1275068 1425076 1592732 2433218 4866436 6056573 6769111 12113146 13538222 20682353 23115571 24226292 27076444 41364706 46231142 82729412 92462284 115074887 230149774 351600001 392964707 439195849 460299548 703200002 785929414 878391698 1406400004 1571858828 1756783396 6680400019 7466329433 13360800038 14932658866 26721600076 29865317732 126927600361 253855200722 507710401444