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20140242240 = 263591123029
BaseRepresentation
bin10010110000011100…
…111011010101000000
31220222121102022102210
4102300130323111000
5312221400222430
613130255142120
71312044143256
oct226034732500
956877368383
1020140242240
1185a57070a8
123aa0b14940
131b8c76b301
14d90b905d6
157cd21e2b0
hex4b073b540

20140242240 has 112 divisors (see below), whose sum is σ = 64018241280. Its totient is φ = 5364602880.

The previous prime is 20140242209. The next prime is 20140242247. The reversal of 20140242240 is 4224204102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20140242247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 863046 + ... + 886074.

It is an arithmetic number, because the mean of its divisors is an integer number (571591440).

Almost surely, 220140242240 is an apocalyptic number.

20140242240 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 20140242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32009120640).

20140242240 is an abundant number, since it is smaller than the sum of its proper divisors (43877999040).

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

20140242240 is a wasteful number, since it uses less digits than its factorization.

20140242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23960 (or 23950 counting only the distinct ones).

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

Adding to 20140242240 its reverse (4224204102), we get a palindrome (24364446342).

The spelling of 20140242240 in words is "twenty billion, one hundred forty million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 911 960 1822 2733 3644 4555 5466 7288 9110 10932 13665 14576 18220 21864 23029 27330 29152 36440 43728 46058 54660 58304 69087 72880 87456 92116 109320 115145 138174 145760 174912 184232 218640 230290 276348 291520 345435 368464 437280 460580 552696 690870 736928 874560 921160 1105392 1381740 1473856 1842320 2210784 2763480 3684640 4421568 5526960 7369280 11053920 20979419 22107840 41958838 62938257 83917676 104897095 125876514 167835352 209794190 251753028 314691285 335670704 419588380 503506056 629382570 671341408 839176760 1007012112 1258765140 1342682816 1678353520 2014024224 2517530280 3356707040 4028048448 5035060560 6713414080 10070121120 20140242240