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2141013144 = 233233878647
BaseRepresentation
bin111111110011101…
…0100010010011000
312112012200201220010
41333213110102120
513341044410034
6552241201520
7104025211554
oct17747242230
95465621803
102141013144
119a9600956
124b90302a0
1328174a8aa
141644c4864
15c7e693e9
hex7f9d4498

2141013144 has 32 divisors (see below), whose sum is σ = 5585253120. Its totient is φ = 682641696.

The previous prime is 2141013143. The next prime is 2141013169. The reversal of 2141013144 is 4413101412.

It is a self number, because there is not a number n which added to its sum of digits gives 2141013144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141013143) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1938772 + ... + 1939875.

It is an arithmetic number, because the mean of its divisors is an integer number (174539160).

Almost surely, 22141013144 is an apocalyptic number.

2141013144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2141013144 is an abundant number, since it is smaller than the sum of its proper divisors (3444239976).

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

2141013144 is a wasteful number, since it uses less digits than its factorization.

2141013144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3878679 (or 3878675 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2141013144 is about 46271.0832378063. The cubic root of 2141013144 is about 1288.8620744565.

Adding to 2141013144 its reverse (4413101412), we get a palindrome (6554114556).

The spelling of 2141013144 in words is "two billion, one hundred forty-one million, thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 3878647 7757294 11635941 15514588 23271882 31029176 46543764 89208881 93087528 178417762 267626643 356835524 535253286 713671048 1070506572 2141013144