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2144425140 = 22325111383311
BaseRepresentation
bin111111111010001…
…0101010010110100
312112110010002021100
41333310111102310
513342433101030
6552442250100
7104066212224
oct17764252264
95473102240
102144425140
11a00521390
124ba1b6930
13282373920
14164b32084
15c83e0360
hex7fd154b4

2144425140 has 144 divisors (see below), whose sum is σ = 7642043136. Its totient is φ = 479865600.

The previous prime is 2144425057. The next prime is 2144425147. The reversal of 2144425140 is 415244412.

2144425140 is a `hidden beast` number, since 2 + 144 + 4 + 2 + 514 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144425147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15916 + ... + 67395.

It is an arithmetic number, because the mean of its divisors is an integer number (53069744).

Almost surely, 22144425140 is an apocalyptic number.

2144425140 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 2144425140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3821021568).

2144425140 is an abundant number, since it is smaller than the sum of its proper divisors (5497617996).

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

2144425140 is a wasteful number, since it uses less digits than its factorization.

2144425140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83350 (or 83345 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2144425140 is about 46307.9381963827. The cubic root of 2144425140 is about 1289.5463701550.

Adding to 2144425140 its reverse (415244412), we get a palindrome (2559669552).

The spelling of 2144425140 in words is "two billion, one hundred forty-four million, four hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 33 36 39 44 45 52 55 60 65 66 78 90 99 110 117 130 132 143 156 165 180 195 198 220 234 260 286 330 390 396 429 468 495 572 585 660 715 780 858 990 1170 1287 1430 1716 1980 2145 2340 2574 2860 4290 5148 6435 8580 12870 25740 83311 166622 249933 333244 416555 499866 749799 833110 916421 999732 1083043 1249665 1499598 1666220 1832842 2166086 2499330 2749263 2999196 3249129 3665684 3748995 4332172 4582105 4998660 5415215 5498526 6498258 7497990 8247789 9164210 9747387 10830430 10997052 11913473 12996516 13746315 14995980 16245645 16495578 18328420 19494774 21660860 23826946 27492630 32491290 32991156 35740419 38989548 41238945 47653892 48736935 54985260 59567365 64982580 71480838 82477890 97473870 107221257 119134730 142961676 164955780 178702095 194947740 214442514 238269460 357404190 428885028 536106285 714808380 1072212570 2144425140