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2141431320 = 23357352027
BaseRepresentation
bin111111110100011…
…1010011000011000
312112020110222112010
41333220322120120
513341201300240
6552254145520
7104031603000
oct17750723030
95466428463
102141431320
119a9867056
124b91b22a0
13281866032
14164593000
15c7eed280
hex7fa3a618

2141431320 has 128 divisors (see below), whose sum is σ = 7492032000. Its totient is φ = 489460608.

The previous prime is 2141431301. The next prime is 2141431363. The reversal of 2141431320 is 231341412.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15147 + ... + 67173.

It is an arithmetic number, because the mean of its divisors is an integer number (58531500).

Almost surely, 22141431320 is an apocalyptic number.

2141431320 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 2141431320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3746016000).

2141431320 is an abundant number, since it is smaller than the sum of its proper divisors (5350600680).

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

2141431320 is a wasteful number, since it uses less digits than its factorization.

2141431320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52062 (or 52044 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2141431320 is about 46275.6017789072. The cubic root of 2141431320 is about 1288.9459811655.

Adding to 2141431320 its reverse (231341412), we get a palindrome (2372772732).

The spelling of 2141431320 in words is "two billion, one hundred forty-one million, four hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 343 392 420 490 588 686 735 840 980 1029 1176 1372 1470 1715 1960 2058 2744 2940 3430 4116 5145 5880 6860 8232 10290 13720 20580 41160 52027 104054 156081 208108 260135 312162 364189 416216 520270 624324 728378 780405 1040540 1092567 1248648 1456756 1560810 1820945 2081080 2185134 2549323 2913512 3121620 3641890 4370268 5098646 5462835 6243240 7283780 7647969 8740536 10197292 10925670 12746615 14567560 15295938 17845261 20394584 21851340 25493230 30591876 35690522 38239845 43702680 50986460 53535783 61183752 71381044 76479690 89226305 101972920 107071566 142762088 152959380 178452610 214143132 267678915 305918760 356905220 428286264 535357830 713810440 1070715660 2141431320