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2024011044040 = 235314356966713
BaseRepresentation
bin11101011101000000011…
…101011001010011001000
321011111022210212021020111
4131131000131121103020
5231130133311402130
64145452353004104
7266141611003636
oct35350035312310
97144283767214
102024011044040
11710418517637
12288325253634
13118b2bc2953b
146dd69762356
15379b0e5102a
hex1d7407594c8

2024011044040 has 128 divisors (see below), whose sum is σ = 4818778905600. Its totient is φ = 763911106560.

The previous prime is 2024011044023. The next prime is 2024011044053. The reversal of 2024011044040 is 404401104202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30305724 + ... + 30372436.

It is an arithmetic number, because the mean of its divisors is an integer number (37646710200).

Almost surely, 22024011044040 is an apocalyptic number.

2024011044040 is a gapful number since it is divisible by the number (20) 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 2024011044040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409389452800).

2024011044040 is an abundant number, since it is smaller than the sum of its proper divisors (2794767861560).

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

2024011044040 is a wasteful number, since it uses less digits than its factorization.

2024011044040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67367 (or 67363 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 2024011044040 its reverse (404401104202), we get a palindrome (2428412148242).

The spelling of 2024011044040 in words is "two trillion, twenty-four billion, eleven million, forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 43 62 86 124 155 172 215 248 310 344 430 569 620 860 1138 1240 1333 1720 2276 2666 2845 4552 5332 5690 6665 10664 11380 13330 17639 22760 24467 26660 35278 48934 53320 66713 70556 88195 97868 122335 133426 141112 176390 195736 244670 266852 333565 352780 489340 533704 667130 705560 758477 978680 1334260 1516954 2068103 2668520 2868659 3033908 3792385 4136206 5737318 6067816 7584770 8272412 10340515 11474636 14343295 15169540 16544824 20681030 22949272 28686590 30339080 37959697 41362060 57373180 75919394 82724120 88928429 114746360 151838788 177856858 189798485 303677576 355713716 379596970 444642145 711427432 759193940 889284290 1176750607 1518387880 1632266971 1778568580 2353501214 3264533942 3557137160 4707002428 5883753035 6529067884 8161334855 9414004856 11767506070 13058135768 16322669710 23535012140 32645339420 47070024280 50600276101 65290678840 101200552202 202401104404 253001380505 404802208808 506002761010 1012005522020 2024011044040