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2142441140 = 225719242391
BaseRepresentation
bin111111110110011…
…0000111010110100
312112022101021201212
41333230300322310
513341431104030
6552331540552
7104043310040
oct17754607264
95468337655
102142441140
119aa396814
124b95ba758
13281b2a868
14164777020
15c814c595
hex7fb30eb4

2142441140 has 72 divisors (see below), whose sum is σ = 5426854272. Its totient is φ = 695874240.

The previous prime is 2142441139. The next prime is 2142441143. The reversal of 2142441140 is 411442412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142441143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29345 + ... + 71735.

It is an arithmetic number, because the mean of its divisors is an integer number (75372976).

Almost surely, 22142441140 is an apocalyptic number.

2142441140 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 2142441140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2713427136).

2142441140 is an abundant number, since it is smaller than the sum of its proper divisors (3284413132).

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

2142441140 is a wasteful number, since it uses less digits than its factorization.

2142441140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42445 (or 42424 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 2142441140 is about 46286.5114261164. The cubic root of 2142441140 is about 1289.1485557824.

Adding to 2142441140 its reverse (411442412), we get a palindrome (2553883552).

The spelling of 2142441140 in words is "two billion, one hundred forty-two million, four hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 361 380 532 665 722 1330 1444 1805 2527 2660 3610 5054 7220 10108 12635 25270 42391 50540 84782 169564 211955 296737 423910 593474 805429 847820 1186948 1483685 1610858 2967370 3221716 4027145 5638003 5934740 8054290 11276006 15303151 16108580 22552012 28190015 30606302 56380030 61212604 76515755 107122057 112760060 153031510 214244114 306063020 428488228 535610285 1071220570 2142441140