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2412014130 = 2325711093463
BaseRepresentation
bin1000111111000100…
…0110101000110010
320020002122000100200
42033301012220302
514414433423010
61035201500030
7113525532111
oct21761065062
96202560320
102412014130
111028578a09
12573941616
132c59341c6
1418c4a9c78
15e1b4acc0
hex8fc46a32

2412014130 has 96 divisors (see below), whose sum is σ = 6419761920. Its totient is φ = 628145280.

The previous prime is 2412014123. The next prime is 2412014131. The reversal of 2412014130 is 314102142.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2412014131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 694779 + ... + 698241.

It is an arithmetic number, because the mean of its divisors is an integer number (66872520).

Almost surely, 22412014130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2412014130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3209880960).

2412014130 is an abundant number, since it is smaller than the sum of its proper divisors (4007747790).

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

2412014130 is a wasteful number, since it uses less digits than its factorization.

2412014130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3656 (or 3653 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2412014130 is about 49112.2604855447. The cubic root of 2412014130 is about 1341.0962533529.

Adding to 2412014130 its reverse (314102142), we get a palindrome (2726116272).

The spelling of 2412014130 in words is "two billion, four hundred twelve million, fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 109 142 213 218 327 355 426 545 639 654 710 981 1065 1090 1278 1635 1962 2130 3195 3270 3463 4905 6390 6926 7739 9810 10389 15478 17315 20778 23217 31167 34630 38695 46434 51945 62334 69651 77390 103890 116085 139302 155835 232170 245873 311670 348255 377467 491746 696510 737619 754934 1132401 1229365 1475238 1887335 2212857 2264802 2458730 3397203 3688095 3774670 4425714 5662005 6794406 7376190 11064285 11324010 16986015 22128570 26800157 33972030 53600314 80400471 134000785 160800942 241201413 268001570 402002355 482402826 804004710 1206007065 2412014130