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44114055578430 = 23517378112882599
BaseRepresentation
bin10100000011111000110101…
…00111001100001100111110
312210012021002101022102100020
422001330122213030030332
521240231041212002210
6233453414541113010
712202064264344125
oct1201743247141476
9183167071272306
1044114055578430
1113068736360962
124b45723b58766
131b7cc25b71036
14ac71bb49cabc
15517793d72770
hex281f1a9cc33e

44114055578430 has 128 divisors (see below), whose sum is σ = 115273375257600. Its totient is φ = 10759239383040.

The previous prime is 44114055578357. The next prime is 44114055578443. The reversal of 44114055578430 is 3487555041144.

It is a happy number.

44114055578430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×441140555784302 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent 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 63 ways as a sum of consecutive naturals, for example, 13862271 + ... + 16744869.

It is an arithmetic number, because the mean of its divisors is an integer number (900573244200).

Almost surely, 244114055578430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44114055578430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57636687628800).

44114055578430 is an abundant number, since it is smaller than the sum of its proper divisors (71159319679170).

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

44114055578430 is a wasteful number, since it uses less digits than its factorization.

44114055578430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883474.

The product of its (nonzero) digits is 5376000, while the sum is 51.

The spelling of 44114055578430 in words is "forty-four trillion, one hundred fourteen billion, fifty-five million, five hundred seventy-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 37 51 74 85 102 111 170 185 222 255 370 510 555 629 811 1110 1258 1622 1887 2433 3145 3774 4055 4866 6290 8110 9435 12165 13787 18870 24330 27574 30007 41361 60014 68935 82722 90021 137870 150035 180042 206805 300070 413610 450105 510119 900210 1020238 1530357 2550595 2882599 3060714 5101190 5765198 7651785 8647797 14412995 15303570 17295594 28825990 43238985 49004183 86477970 98008366 106656163 147012549 213312326 245020915 294025098 319968489 490041830 533280815 639936978 735062745 1066561630 1470125490 1599842445 1813154771 2337787789 3199684890 3626309542 4675575578 5439464313 7013363367 9065773855 10878928626 11688938945 14026726734 18131547710 23377877890 27197321565 35066816835 39742392413 54394643130 70133633670 79484784826 86498148193 119227177239 172996296386 198711962065 238454354478 259494444579 397423924130 432490740965 518988889158 596135886195 864981481930 1192271772390 1297472222895 1470468519281 2594944445790 2940937038562 4411405557843 7352342596405 8822811115686 14704685192810 22057027789215 44114055578430