Search a number
-
+
2000144412 = 2232714953269
BaseRepresentation
bin111011100110111…
…1100100000011100
312011101121212022200
41313031330200130
513044014110122
6530250011500
7100364642550
oct16715744034
95141555280
102000144412
11937036112
12479a16b90
1325b4c8006
1414d8d5860
15ba8e05ac
hex7737c81c

2000144412 has 72 divisors (see below), whose sum is σ = 5817084000. Its totient is φ = 567623808.

The previous prime is 2000144407. The next prime is 2000144417. The reversal of 2000144412 is 2144410002.

It is an interprime number because it is at equal distance from previous prime (2000144407) and next prime (2000144417).

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 (2000144417) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10914 + ... + 64182.

Almost surely, 22000144412 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 2000144412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2908542000).

2000144412 is an abundant number, since it is smaller than the sum of its proper divisors (3816939588).

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

2000144412 is a wasteful number, since it uses less digits than its factorization.

2000144412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53435 (or 53430 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2000144412 is about 44722.9740960952. The cubic root of 2000144412 is about 1259.9513737848.

Adding to 2000144412 its reverse (2144410002), we get a palindrome (4144554414).

The spelling of 2000144412 in words is "two billion, one hundred forty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 149 252 298 447 596 894 1043 1341 1788 2086 2682 3129 4172 5364 6258 9387 12516 18774 37548 53269 106538 159807 213076 319614 372883 479421 639228 745766 958842 1118649 1491532 1917684 2237298 3355947 4474596 6711894 7937081 13423788 15874162 23811243 31748324 47622486 55559567 71433729 95244972 111119134 142867458 166678701 222238268 285734916 333357402 500036103 666714804 1000072206 2000144412