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2124201440 = 25513796907
BaseRepresentation
bin111111010011100…
…1011110111100000
312111001001121120102
41332213023313200
513322243421230
6550441001532
7103432262054
oct17647136740
95431047512
102124201440
119a0068a89
124b34832a8
1327b11273a
14162189c64
15c6748045
hex7e9cbde0

2124201440 has 48 divisors (see below), whose sum is σ = 5055108912. Its totient is φ = 843469824.

The previous prime is 2124201427. The next prime is 2124201449. The reversal of 2124201440 is 441024212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124201449) 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 7 ways as a sum of consecutive naturals, for example, 26534 + ... + 70373.

It is an arithmetic number, because the mean of its divisors is an integer number (105314769).

Almost surely, 22124201440 is an apocalyptic number.

2124201440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2124201440 is an abundant number, since it is smaller than the sum of its proper divisors (2930907472).

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

2124201440 is a wasteful number, since it uses less digits than its factorization.

2124201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97059 (or 97051 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2124201440 is about 46089.0598732497. The cubic root of 2124201440 is about 1285.4797302398.

Adding to 2124201440 its reverse (441024212), we get a palindrome (2565225652).

The spelling of 2124201440 in words is "two billion, one hundred twenty-four million, two hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 137 160 274 548 685 1096 1370 2192 2740 4384 5480 10960 21920 96907 193814 387628 484535 775256 969070 1550512 1938140 3101024 3876280 7752560 13276259 15505120 26552518 53105036 66381295 106210072 132762590 212420144 265525180 424840288 531050360 1062100720 2124201440