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414055324330424 = 237531222191141447
BaseRepresentation
bin101111000100101001100010…
…0100001100010100110111000
32000022001022011110200020210022
41132021103010201202212320
5413232340301012033144
64024342220130310012
7153133336633336040
oct13611230441424670
92008038143606708
10414055324330424
1110aa26971203607
123a532842428308
1314a0633233959a
1474365555b2720
1532d07e1040cee
hex17894c48629b8

414055324330424 has 64 divisors (see below), whose sum is σ = 904010379148800. Its totient is φ = 174102548540544.

The previous prime is 414055324330423. The next prime is 414055324330447. The reversal of 414055324330424 is 424033423550414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414055324330423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 362175269 + ... + 363316715.

It is an arithmetic number, because the mean of its divisors is an integer number (14125162174200).

Almost surely, 2414055324330424 is an apocalyptic number.

It is an amenable number.

414055324330424 is an abundant number, since it is smaller than the sum of its proper divisors (489955054818376).

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

414055324330424 is a wasteful number, since it uses less digits than its factorization.

414055324330424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263732 (or 1263728 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 44.

Adding to 414055324330424 its reverse (424033423550414), we get a palindrome (838088747880838).

The spelling of 414055324330424 in words is "four hundred fourteen trillion, fifty-five billion, three hundred twenty-four million, three hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 53 56 106 212 371 424 742 1484 2968 122219 244438 488876 855533 977752 1141447 1711066 2282894 3422132 4565788 6477607 6844264 7990129 9131576 12955214 15980258 25910428 31960516 45343249 51820856 60496691 63921032 90686498 120993382 181372996 241986764 362745992 423476837 483973528 846953674 1693907348 3387814696 139506510893 279013021786 558026043572 976545576251 1116052087144 1953091152502 3906182305004 7393845077329 7812364610008 14787690154658 29575380309316 51756915541303 59150760618632 103513831082606 207027662165212 414055324330424