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244613061257430 = 235318271559204007
BaseRepresentation
bin110111100111100101101010…
…100111111010100011010110
31012002002210001211011110011110
4313213211222213322203112
5224030220022140214210
62224125404454115450
7102344465456162265
oct6747455247724326
91162083054143143
10244613061257430
1170a398a9037608
122352779734bb86
13a664bb327b658
14445949a2365dc
151d42e315d6420
hexde796a9fa8d6

244613061257430 has 128 divisors (see below), whose sum is σ = 607134075125760. Its totient is φ = 63008868827520.

The previous prime is 244613061257417. The next prime is 244613061257441. The reversal of 244613061257430 is 34752160316442.

It is a self number, because there is not a number n which added to its sum of digits gives 244613061257430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1198940487 + ... + 1199144493.

It is an arithmetic number, because the mean of its divisors is an integer number (4743234961920).

Almost surely, 2244613061257430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244613061257430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303567037562880).

244613061257430 is an abundant number, since it is smaller than the sum of its proper divisors (362521013868330).

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

244613061257430 is a wasteful number, since it uses less digits than its factorization.

244613061257430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206434.

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 244613061257430 in words is "two hundred forty-four trillion, six hundred thirteen billion, sixty-one million, two hundred fifty-seven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 827 930 1559 1654 2481 3118 4135 4677 4962 7795 8270 9354 12405 15590 23385 24810 25637 46770 48329 51274 76911 96658 128185 144987 153822 204007 241645 256370 289974 384555 408014 483290 612021 724935 769110 1020035 1224042 1289293 1449870 2040070 2578586 3060105 3867879 6120210 6324217 6446465 7735758 12648434 12892930 18972651 19339395 31621085 37945302 38678790 39968083 63242170 79936166 94863255 119904249 168713789 189726510 199840415 239808498 318046913 337427578 399680830 506141367 599521245 636093826 843568945 954140739 1012282734 1199042490 1590234565 1687137890 1908281478 2530706835 3180469130 4770703695 5061413670 5230127459 9541407390 9859454303 10460254918 15690382377 19718908606 26150637295 29578362909 31380764754 49297271515 52301274590 59156725818 78451911885 98594543030 147891814545 156903823770 263024797051 295783629090 526049594102 789074391153 1315123985255 1578148782306 2630247970510 3945371955765 7890743911530 8153768708581 16307537417162 24461306125743 40768843542905 48922612251486 81537687085810 122306530628715 244613061257430