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2124402144 = 253175922063
BaseRepresentation
bin111111010011111…
…1100110111100000
312111001102210212220
41332213330313200
513322321332034
6550445151040
7103434056154
oct17647746740
95431383786
102124402144
119a0195857
124b355b480
1327b182bb7
141621dd064
15c6787749
hex7e9fcde0

2124402144 has 96 divisors (see below), whose sum is σ = 6004938240. Its totient is φ = 655153152.

The previous prime is 2124402041. The next prime is 2124402149. The reversal of 2124402144 is 4412044212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124402149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85257 + ... + 107319.

It is an arithmetic number, because the mean of its divisors is an integer number (62551440).

Almost surely, 22124402144 is an apocalyptic number.

2124402144 is a gapful number since it is divisible by the number (24) 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 2124402144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002469120).

2124402144 is an abundant number, since it is smaller than the sum of its proper divisors (3880536096).

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

2124402144 is a wasteful number, since it uses less digits than its factorization.

2124402144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22152 (or 22144 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2124402144 is about 46091.2371715058. The cubic root of 2124402144 is about 1285.5202149122.

Adding to 2124402144 its reverse (4412044212), we get a palindrome (6536446356).

The spelling of 2124402144 in words is "two billion, one hundred twenty-four million, four hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 59 68 96 102 118 136 177 204 236 272 354 408 472 544 708 816 944 1003 1416 1632 1888 2006 2832 3009 4012 5664 6018 8024 12036 16048 22063 24072 32096 44126 48144 66189 88252 96288 132378 176504 264756 353008 375071 529512 706016 750142 1059024 1125213 1301717 1500284 2118048 2250426 2603434 3000568 3905151 4500852 5206868 6001136 7810302 9001704 10413736 12002272 15620604 18003408 20827472 22129189 31241208 36006816 41654944 44258378 62482416 66387567 88516756 124964832 132775134 177033512 265550268 354067024 531100536 708134048 1062201072 2124402144