Search a number
-
+
2244303014130 = 2325199191428137
BaseRepresentation
bin100000101010001010111…
…000100100100011110010
321221112221100001211122200
4200222022320210203302
5243232313032423010
64435004002244030
7321100630601412
oct40521270444362
97845840054580
102244303014130
117958925a7251
12302b64656616
1313383826c1b8
147a8a680c642
153d5a5ab5cc0
hex20a8ae248f2

2244303014130 has 96 divisors (see below), whose sum is σ = 6148990972800. Its totient is φ = 566364462336.

The previous prime is 2244303014123. The next prime is 2244303014147. The reversal of 2244303014130 is 314103034422.

2244303014130 is a `hidden beast` number, since 2 + 244 + 3 + 0 + 3 + 0 + 1 + 413 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2244303014094 and 2244303014103.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 857422 + ... + 2285558.

It is an arithmetic number, because the mean of its divisors is an integer number (64051989300).

Almost surely, 22244303014130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2244303014130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3074495486400).

2244303014130 is an abundant number, since it is smaller than the sum of its proper divisors (3904687958670).

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

2244303014130 is a wasteful number, since it uses less digits than its factorization.

2244303014130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429088 (or 1429085 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2244303014130 its reverse (314103034422), we get a palindrome (2558406048552).

The spelling of 2244303014130 in words is "two trillion, two hundred forty-four billion, three hundred three million, fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 919 1710 1838 2757 4595 5514 8271 9190 13785 16542 17461 27570 34922 41355 52383 82710 87305 104766 157149 174610 261915 314298 523830 785745 1428137 1571490 2856274 4284411 7140685 8568822 12853233 14281370 21422055 25706466 27134603 42844110 54269206 64266165 81403809 128532330 135673015 162807618 244211427 271346030 407019045 488422854 814038090 1221057135 1312457903 2442114270 2624915806 3937373709 6562289515 7874747418 11812121127 13124579030 19686868545 23624242254 24936700157 39373737090 49873400314 59060605635 74810100471 118121211270 124683500785 149620200942 224430301413 249367001570 374050502355 448860602826 748101004710 1122151507065 2244303014130