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5430456540345 = 3537109743120817
BaseRepresentation
bin100111100000110000001…
…1011101101110010111001
3201020010221212001001101210
41033001200123231302321
51202433033333242340
615314414534033333
71100223526661334
oct117014033556271
921203855031353
105430456540345
111804053166461
12738560aa8849
133051225442c5
1414ab9a87561b
15963d2d75180
hex4f0606edcb9

5430456540345 has 64 divisors (see below), whose sum is σ = 9017623549440. Its totient is φ = 2788332761088.

The previous prime is 5430456540317. The next prime is 5430456540347.

5430456540345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5430456540345 - 212 = 5430456536249 is a prime.

It is a super-2 number, since 2×54304565403452 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5430456540294 and 5430456540303.

It is not an unprimeable number, because it can be changed into a prime (5430456540347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44887377 + ... + 45008193.

It is an arithmetic number, because the mean of its divisors is an integer number (140900367960).

Almost surely, 25430456540345 is an apocalyptic number.

It is an amenable number.

5430456540345 is a deficient number, since it is larger than the sum of its proper divisors (3587167009095).

5430456540345 is a wasteful number, since it uses less digits than its factorization.

5430456540345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121714.

The product of its (nonzero) digits is 8640000, while the sum is 48.

The spelling of 5430456540345 in words is "five trillion, four hundred thirty billion, four hundred fifty-six million, five hundred forty thousand, three hundred forty-five".

Divisors: 1 3 5 15 37 109 111 185 327 545 555 743 1635 2229 3715 4033 11145 12099 20165 27491 60495 80987 82473 120817 137455 242961 362451 404935 412365 604085 1214805 1812255 2996519 4470229 8989557 13169053 13410687 14982595 22351145 39507159 44947785 65845265 67053435 89767031 197535795 269301093 448835155 487254961 1346505465 1461764883 2436274805 3321380147 7308824415 9784606379 9964140441 16606900735 29353819137 48923031895 49820702205 146769095685 362030436023 1086091308069 1810152180115 5430456540345