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241424000440 = 23571515710123
BaseRepresentation
bin1110000011010111111…
…1011110010110111000
3212002011020211221100221
43200311333132112320
512423414021003230
6302524134105424
723304466100410
oct3406577362670
9762136757327
10241424000440
1193429610907
123a9584ab274
13199c640443c
14b98384b640
15642ee9227a
hex3835fde5b8

241424000440 has 64 divisors (see below), whose sum is σ = 624915970560. Its totient is φ = 82225756800.

The previous prime is 241424000417. The next prime is 241424000527. The reversal of 241424000440 is 44000424142.

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 15 ways as a sum of consecutive naturals, for example, 2812782 + ... + 2897341.

It is an arithmetic number, because the mean of its divisors is an integer number (9764312040).

Almost surely, 2241424000440 is an apocalyptic number.

241424000440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241424000440 is an abundant number, since it is smaller than the sum of its proper divisors (383491970120).

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

241424000440 is a wasteful number, since it uses less digits than its factorization.

241424000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5710292 (or 5710288 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 241424000440 its reverse (44000424142), we get a palindrome (285424424582).

The spelling of 241424000440 in words is "two hundred forty-one billion, four hundred twenty-four million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 151 280 302 604 755 1057 1208 1510 2114 3020 4228 5285 6040 8456 10570 21140 42280 5710123 11420246 22840492 28550615 39970861 45680984 57101230 79941722 114202460 159883444 199854305 228404920 319766888 399708610 799417220 862228573 1598834440 1724457146 3448914292 4311142865 6035600011 6897828584 8622285730 12071200022 17244571460 24142400044 30178000055 34489142920 48284800088 60356000110 120712000220 241424000440