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14540045010 = 23523311315189
BaseRepresentation
bin11011000101010011…
…10111101011010010
31101112022122211001120
431202221313223102
5214234222420020
610402443343110
71023213225531
oct154251675322
941468584046
1014540045010
116191527027
122999521a96
1314a947513a
149bd0d4318
155a175b740
hex362a77ad2

14540045010 has 128 divisors (see below), whose sum is σ = 37882183680. Its totient is φ = 3561043200.

The previous prime is 14540044957. The next prime is 14540045021. The reversal of 14540045010 is 1054004541.

It is a happy number.

It is a super-2 number, since 2×145400450102 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2799496 + ... + 2804684.

It is an arithmetic number, because the mean of its divisors is an integer number (295954560).

Almost surely, 214540045010 is an apocalyptic number.

14540045010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14540045010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18941091840).

14540045010 is an abundant number, since it is smaller than the sum of its proper divisors (23342138670).

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

14540045010 is a wasteful number, since it uses less digits than its factorization.

14540045010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5384.

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 14540045010 its reverse (1054004541), we get a palindrome (15594049551).

The spelling of 14540045010 in words is "fourteen billion, five hundred forty million, forty-five thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 30 31 46 62 69 93 115 131 138 155 186 230 262 310 345 393 465 655 690 713 786 930 1310 1426 1965 2139 3013 3565 3930 4061 4278 5189 6026 7130 8122 9039 10378 10695 12183 15065 15567 18078 20305 21390 24366 25945 30130 31134 40610 45195 51890 60915 77835 90390 93403 119347 121830 155670 160859 186806 238694 280209 321718 358041 467015 482577 560418 596735 679759 716082 804295 934030 965154 1193470 1359518 1401045 1608590 1790205 2039277 2412885 2802090 3398795 3580410 3699757 4078554 4825770 6797590 7399514 10196385 11099271 15634457 18498785 20392770 21072529 22198542 31268914 36997570 42145058 46903371 55496355 63217587 78172285 93806742 105362645 110992710 126435174 156344570 210725290 234516855 316087935 469033710 484668167 632175870 969336334 1454004501 2423340835 2908009002 4846681670 7270022505 14540045010