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1053354115134 = 232271787927407
BaseRepresentation
bin11110101010000001100…
…11000100000000111110
310201200220001121022002100
433111000303010000332
5114224232123141014
62123523150205530
7136050045151056
oct17250063040076
93650801538070
101053354115134
113767a7a34322
121501921b38a6
137843bbb7079
1438da83dc566
151c6007ed009
hexf540cc403e

1053354115134 has 48 divisors (see below), whose sum is σ = 2291063224320. Its totient is φ = 349765238160.

The previous prime is 1053354115123. The next prime is 1053354115169. The reversal of 1053354115134 is 4315114533501.

1053354115134 is a `hidden beast` number, since 1 + 0 + 5 + 33 + 541 + 1 + 51 + 34 = 666.

It is a super-3 number, since 3×10533541151343 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 38420059 + ... + 38447465.

It is an arithmetic number, because the mean of its divisors is an integer number (47730483840).

Almost surely, 21053354115134 is an apocalyptic number.

1053354115134 is an abundant number, since it is smaller than the sum of its proper divisors (1237709109186).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1053354115134 is a wasteful number, since it uses less digits than its factorization.

1053354115134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35565 (or 35562 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 1053354115134 its reverse (4315114533501), we get a palindrome (5368468648635).

The spelling of 1053354115134 in words is "one trillion, fifty-three billion, three hundred fifty-four million, one hundred fifteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 271 542 813 1626 2439 4878 7879 15758 23637 27407 47274 54814 70911 82221 141822 164442 246663 493326 2135209 4270418 6405627 7427297 12811254 14854594 19216881 22281891 38433762 44563782 66845673 133691346 215939753 431879506 647819259 1295638518 1943457777 3886915554 58519673063 117039346126 175559019189 351118038378 526677057567 1053354115134