Search a number
-
+
4440300401420 = 22513173132406221
BaseRepresentation
bin100000010011101011010…
…0001110011001100001100
3120201111012011120120200222
41000213112201303030030
51040222213400321140
613235502411410512
7635541532445612
oct100472641631414
916644164516628
104440300401420
111462136900044
125b8687753a38
132629457c7a40
14114ca99496b2
157a7809285b5
hex409d687330c

4440300401420 has 96 divisors (see below), whose sum is σ = 10975598516736. Its totient is φ = 1493278617600.

The previous prime is 4440300401417. The next prime is 4440300401423. The reversal of 4440300401420 is 241040030444.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4440300401417) and next prime (4440300401423).

It is a super-2 number, since 2×44403004014202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 4440300401420.

It is not an unprimeable number, because it can be changed into a prime (4440300401423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16066091 + ... + 16340130.

It is an arithmetic number, because the mean of its divisors is an integer number (114329151216).

Almost surely, 24440300401420 is an apocalyptic number.

It is an amenable number.

4440300401420 is an abundant number, since it is smaller than the sum of its proper divisors (6535298115316).

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

4440300401420 is a wasteful number, since it uses less digits than its factorization.

4440300401420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32406291 (or 32406289 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 4440300401420 its reverse (241040030444), we get a palindrome (4681340431864).

The spelling of 4440300401420 in words is "four trillion, four hundred forty billion, three hundred million, four hundred one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 31 34 52 62 65 68 85 124 130 155 170 221 260 310 340 403 442 527 620 806 884 1054 1105 1612 2015 2108 2210 2635 4030 4420 5270 6851 8060 10540 13702 27404 34255 68510 137020 32406221 64812442 129624884 162031105 324062210 421280873 550905757 648124420 842561746 1004592851 1101811514 1685123492 2009185702 2106404365 2203623028 2754528785 4018371404 4212808730 5022964255 5509057570 7161774841 8425617460 10045928510 11018115140 13059707063 14323549682 17078078467 20091857020 26119414126 28647099364 34156156934 35808874205 52238828252 65298535315 68312313868 71617748410 85390392335 130597070630 143235496820 170780784670 222015020071 261194141260 341561569340 444030040142 888060080284 1110075100355 2220150200710 4440300401420