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2142721240 = 2351123114281
BaseRepresentation
bin111111110110111…
…0101010011011000
312112022220111221221
41333231311103120
513342014034430
6552341541424
7104045554462
oct17755652330
95468814857
102142721240
119aa568200
124b9714874
13281bc81ba
1416480b132
15c81a557a
hex7fb754d8

2142721240 has 96 divisors (see below), whose sum is σ = 5470577280. Its totient is φ = 753984000.

The previous prime is 2142721223. The next prime is 2142721249. The reversal of 2142721240 is 421272412.

It is a super-3 number, since 3×21427212403 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142721249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142900 + ... + 157180.

It is an arithmetic number, because the mean of its divisors is an integer number (56985180).

Almost surely, 22142721240 is an apocalyptic number.

2142721240 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 2142721240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2735288640).

2142721240 is an abundant number, since it is smaller than the sum of its proper divisors (3327856040).

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

2142721240 is a wasteful number, since it uses less digits than its factorization.

2142721240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14345 (or 14330 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 2142721240 is about 46289.5370467236. The cubic root of 2142721240 is about 1289.2047338758.

Adding to 2142721240 its reverse (421272412), we get a palindrome (2563993652).

It can be divided in two parts, 214272 and 1240, that added together give a palindrome (215512).

The spelling of 2142721240 in words is "two billion, one hundred forty-two million, seven hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 121 124 155 220 242 248 310 341 440 484 605 620 682 968 1210 1240 1364 1705 2420 2728 3410 3751 4840 6820 7502 13640 14281 15004 18755 28562 30008 37510 57124 71405 75020 114248 142810 150040 157091 285620 314182 442711 571240 628364 785455 885422 1256728 1570910 1728001 1770844 2213555 3141820 3456002 3541688 4427110 4869821 6283640 6912004 8640005 8854220 9739642 13824008 17280010 17708440 19479284 24349105 34560020 38958568 48698210 53568031 69120040 97396420 107136062 194792840 214272124 267840155 428544248 535680310 1071360620 2142721240