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2142444440 = 235536116567
BaseRepresentation
bin111111110110011…
…0001101110011000
312112022101110021002
41333230301232120
513341431210230
6552332004132
7104043322463
oct17754615630
95468343232
102142444440
119aa399244
124b9600648
13281b2c206
141647782da
15c814d545
hex7fb31b98

2142444440 has 64 divisors (see below), whose sum is σ = 4992269760. Its totient is φ = 826974720.

The previous prime is 2142444439. The next prime is 2142444449. The reversal of 2142444440 is 444442412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142444449) 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 15 ways as a sum of consecutive naturals, for example, 121037 + ... + 137603.

It is an arithmetic number, because the mean of its divisors is an integer number (78004215).

Almost surely, 22142444440 is an apocalyptic number.

2142444440 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 2142444440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496134880).

2142444440 is an abundant number, since it is smaller than the sum of its proper divisors (2849825320).

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

2142444440 is a wasteful number, since it uses less digits than its factorization.

2142444440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16692 (or 16688 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 29.

The square root of 2142444440 is about 46286.5470736368. The cubic root of 2142444440 is about 1289.1492176735.

Adding to 2142444440 its reverse (444442412), we get a palindrome (2586886852).

The spelling of 2142444440 in words is "two billion, one hundred forty-two million, four hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 61 106 122 212 244 265 305 424 488 530 610 1060 1220 2120 2440 3233 6466 12932 16165 16567 25864 32330 33134 64660 66268 82835 129320 132536 165670 331340 662680 878051 1010587 1756102 2021174 3512204 4042348 4390255 5052935 7024408 8084696 8780510 10105870 17561020 20211740 35122040 40423480 53561111 107122222 214244444 267805555 428488888 535611110 1071222220 2142444440