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2144010420 = 22325174911427
BaseRepresentation
bin111111111001011…
…0000000010110100
312112102100000101100
41333302300002310
513342331313140
6552425330100
7104062534146
oct17762600264
95472300340
102144010420
11a00268842
124ba036930
13282259c26
14164a64c96
15c835c530
hex7fcb00b4

2144010420 has 144 divisors (see below), whose sum is σ = 6904916928. Its totient is φ = 536632320.

The previous prime is 2144010391. The next prime is 2144010443. The reversal of 2144010420 is 240104412.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2144010393 and 2144010402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1501747 + ... + 1503173.

It is an arithmetic number, because the mean of its divisors is an integer number (47950812).

Almost surely, 22144010420 is an apocalyptic number.

2144010420 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 2144010420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3452458464).

2144010420 is an abundant number, since it is smaller than the sum of its proper divisors (4760906508).

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

2144010420 is a wasteful number, since it uses less digits than its factorization.

2144010420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2144010420 is about 46303.4601298866. The cubic root of 2144010420 is about 1289.4632344091.

Adding to 2144010420 its reverse (240104412), we get a palindrome (2384114832).

The spelling of 2144010420 in words is "two billion, one hundred forty-four million, ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 491 510 612 765 982 1020 1427 1473 1530 1964 2455 2854 2946 3060 4281 4419 4910 5708 5892 7135 7365 8347 8562 8838 9820 12843 14270 14730 16694 17124 17676 21405 22095 24259 25041 25686 28540 29460 33388 41735 42810 44190 48518 50082 51372 64215 72777 75123 83470 85620 88380 97036 100164 121295 125205 128430 145554 150246 166940 218331 242590 250410 256860 291108 300492 363885 375615 436662 485180 500820 700657 727770 751230 873324 1091655 1401314 1455540 1502460 2101971 2183310 2802628 3503285 4203942 4366620 6305913 7006570 8407884 10509855 11911169 12611826 14013140 21019710 23822338 25223652 31529565 35733507 42039420 47644676 59555845 63059130 71467014 107200521 119111690 126118260 142934028 178667535 214401042 238223380 357335070 428802084 536002605 714670140 1072005210 2144010420