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2144130012 = 22321923731867
BaseRepresentation
bin111111111001100…
…1101001111011100
312112102120002102200
41333303031033130
513342344130022
6552432051500
7104063542623
oct17763151734
95472502380
102144130012
11a0033a682
124ba093b90
1328229c4ab
14164a966ba
15c8382bac
hex7fccd3dc

2144130012 has 144 divisors (see below), whose sum is σ = 6037973760. Its totient is φ = 638440704.

The previous prime is 2144130007. The next prime is 2144130019. The reversal of 2144130012 is 2100314412.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144130019) 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, 1147503 + ... + 1149369.

Almost surely, 22144130012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144130012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018986880).

2144130012 is an abundant number, since it is smaller than the sum of its proper divisors (3893843748).

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

2144130012 is a wasteful number, since it uses less digits than its factorization.

2144130012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1987 counting only the distinct ones).

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

The square root of 2144130012 is about 46304.7515056500. The cubic root of 2144130012 is about 1289.4872092024.

Adding to 2144130012 its reverse (2100314412), we get a palindrome (4244444424).

The spelling of 2144130012 in words is "two billion, one hundred forty-four million, one hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 23 36 38 46 57 69 73 76 92 114 138 146 171 207 219 228 276 292 342 414 437 438 657 684 828 874 876 1311 1314 1387 1679 1748 1867 2622 2628 2774 3358 3734 3933 4161 5037 5244 5548 5601 6716 7468 7866 8322 10074 11202 12483 15111 15732 16644 16803 20148 22404 24966 30222 31901 33606 35473 42941 49932 60444 63802 67212 70946 85882 95703 106419 127604 128823 136291 141892 171764 191406 212838 257646 272582 287109 319257 382812 386469 408873 425676 515292 545164 574218 638514 772938 815879 817746 1148436 1226619 1277028 1545876 1631758 1635492 2447637 2453238 2589529 3134693 3263516 4895274 4906476 5179058 6269386 7342911 7768587 9404079 9790548 10358116 12538772 14685822 15537174 18808158 23305761 28212237 29371644 31074348 37616316 46611522 56424474 59559167 93223044 112848948 119118334 178677501 238236668 357355002 536032503 714710004 1072065006 2144130012