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10243440531540 = 2232556908002953
BaseRepresentation
bin1001010100001111110010…
…1000100101100001010100
31100021021002222112120211100
42111003330220211201110
52320312031234002130
633441434400310100
72105031001620306
oct225037450454124
940237088476740
1010243440531540
11329a245152557
1211952b7612330
13593c4c274518
14275adc6d9976
1512b6c6e60c60
hex950fca25854

10243440531540 has 36 divisors (see below), whose sum is σ = 31071769612884. Its totient is φ = 2731584141696.

The previous prime is 10243440531517. The next prime is 10243440531547. The reversal of 10243440531540 is 4513504434201.

10243440531540 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 34 + 40 + 531 + 54 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3439919508804 + 6803521022736 = 1854702^2 + 2608356^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×102434405315403 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10243440531495 and 10243440531504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10243440531547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28454001297 + ... + 28454001656.

It is an arithmetic number, because the mean of its divisors is an integer number (863104711469).

Almost surely, 210243440531540 is an apocalyptic number.

10243440531540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10243440531540 is an abundant number, since it is smaller than the sum of its proper divisors (20828329081344).

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

10243440531540 is a wasteful number, since it uses less digits than its factorization.

10243440531540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56908002968 (or 56908002963 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 10243440531540 its reverse (4513504434201), we get a palindrome (14756944965741).

The spelling of 10243440531540 in words is "ten trillion, two hundred forty-three billion, four hundred forty million, five hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 56908002953 113816005906 170724008859 227632011812 284540014765 341448017718 512172026577 569080029530 682896035436 853620044295 1024344053154 1138160059060 1707240088590 2048688106308 2560860132885 3414480177180 5121720265770 10243440531540