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2144402040 = 23351114910903
BaseRepresentation
bin111111111010000…
…1111101001111000
312112110001220120210
41333310033221320
513342431331130
6552441551120
7104066054664
oct17764175170
95473056523
102144402040
11a00505aa0
124ba1a54a0
13282366261
14164b278a4
15c83d85b0
hex7fd0fa78

2144402040 has 128 divisors (see below), whose sum is σ = 7065792000. Its totient is φ = 516318720.

The previous prime is 2144402021. The next prime is 2144402047. The reversal of 2144402040 is 402044412.

It is a junction number, because it is equal to n+sod(n) for n = 2144401998 and 2144402016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144402047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191229 + ... + 202131.

It is an arithmetic number, because the mean of its divisors is an integer number (55201500).

Almost surely, 22144402040 is an apocalyptic number.

2144402040 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 2144402040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3532896000).

2144402040 is an abundant number, since it is smaller than the sum of its proper divisors (4921389960).

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

2144402040 is a wasteful number, since it uses less digits than its factorization.

2144402040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11077 (or 11073 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 2144402040 is about 46307.6887784307. The cubic root of 2144402040 is about 1289.5417397566.

Adding to 2144402040 its reverse (402044412), we get a palindrome (2546446452).

The spelling of 2144402040 in words is "two billion, one hundred forty-four million, four hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 149 165 220 264 298 330 440 447 596 660 745 894 1192 1320 1490 1639 1788 2235 2980 3278 3576 4470 4917 5960 6556 8195 8940 9834 10903 13112 16390 17880 19668 21806 24585 32709 32780 39336 43612 49170 54515 65418 65560 87224 98340 109030 119933 130836 163545 196680 218060 239866 261672 327090 359799 436120 479732 599665 654180 719598 959464 1199330 1308360 1439196 1624547 1798995 2398660 2878392 3249094 3597990 4797320 4873641 6498188 7195980 8122735 9747282 12996376 14391960 16245470 17870017 19494564 24368205 32490940 35740034 38989128 48736410 53610051 64981880 71480068 89350085 97472820 107220102 142960136 178700170 194945640 214440204 268050255 357400340 428880408 536100510 714800680 1072201020 2144402040