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10044523144540 = 225171031847155291
BaseRepresentation
bin1001001000101010110000…
…1110111110010101011100
31022120020200002101100011201
42102022230032332111130
52304032140411111130
633210220142325244
72054456435002363
oct222125416762534
938506602340151
1010044523144540
113222949500545
121162842589824
1357b26b329071
1426a22c30c7da
15126433a8abca
hex922ac3be55c

10044523144540 has 96 divisors (see below), whose sum is σ = 22563485328384. Its totient is φ = 3742702679040.

The previous prime is 10044523144519. The next prime is 10044523144597. The reversal of 10044523144540 is 4544132544001.

10044523144540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10044523144540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64604295 + ... + 64759585.

It is an arithmetic number, because the mean of its divisors is an integer number (235036305504).

Almost surely, 210044523144540 is an apocalyptic number.

10044523144540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10044523144540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11281742664192).

10044523144540 is an abundant number, since it is smaller than the sum of its proper divisors (12518962183844).

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

10044523144540 is a wasteful number, since it uses less digits than its factorization.

10044523144540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157267 (or 157265 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 37.

Adding to 10044523144540 its reverse (4544132544001), we get a palindrome (14588655688541).

The spelling of 10044523144540 in words is "ten trillion, forty-four billion, five hundred twenty-three million, one hundred forty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 103 170 206 340 412 515 1030 1751 1847 2060 3502 3694 7004 7388 8755 9235 17510 18470 31399 35020 36940 62798 125596 155291 156995 190241 310582 313990 380482 621164 627980 760964 776455 951205 1552910 1902410 2639947 3105820 3234097 3804820 5279894 6468194 10559788 12936388 13199735 15994973 16170485 26399470 31989946 32340970 52798940 63979892 64681940 79974865 159949730 271914541 286822477 319899460 543829082 573644954 1087658164 1147289908 1359572705 1434112385 2719145410 2868224770 4875982109 5438290820 5736449540 9751964218 19503928436 24379910545 29542715131 48759821090 59085430262 97519642180 118170860524 147713575655 295427151310 502226157227 590854302620 1004452314454 2008904628908 2511130786135 5022261572270 10044523144540