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4224440040420 = 22351491783265021
BaseRepresentation
bin111101011110010100001…
…111110111101111100100
3112221212000111020002002210
4331132110033313233210
51023203123122243140
612552403031003420
7614130363606225
oct75362417675744
915855014202083
104224440040420
1113896362a9986
12582884509570
13248494634592
1410866d28524c
1574d49d92d80
hex3d7943f7be4

4224440040420 has 96 divisors (see below), whose sum is σ = 11914541049600. Its totient is φ = 1118325035520.

The previous prime is 4224440040407. The next prime is 4224440040433. The reversal of 4224440040420 is 240400444224.

It is an interprime number because it is at equal distance from previous prime (4224440040407) and next prime (4224440040433).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15807510 + ... + 16072530.

It is an arithmetic number, because the mean of its divisors is an integer number (124109802600).

Almost surely, 24224440040420 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 4224440040420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5957270524800).

4224440040420 is an abundant number, since it is smaller than the sum of its proper divisors (7690101009180).

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

4224440040420 is a wasteful number, since it uses less digits than its factorization.

4224440040420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266965 (or 266963 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 4224440040420 its reverse (240400444224), we get a palindrome (4464840484644).

The spelling of 4224440040420 in words is "four trillion, two hundred twenty-four billion, four hundred forty million, forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 298 447 596 745 894 1490 1783 1788 2235 2980 3566 4470 5349 7132 8915 8940 10698 17830 21396 26745 35660 53490 106980 265021 265667 530042 531334 795063 797001 1060084 1062668 1325105 1328335 1590126 1594002 2650210 2656670 3180252 3188004 3975315 3985005 5300420 5313340 7950630 7970010 15901260 15940020 39488129 78976258 118464387 157952516 197440645 236928774 394881290 472532443 473857548 592321935 789762580 945064886 1184643870 1417597329 1890129772 2362662215 2369287740 2835194658 4725324430 5670389316 7087986645 9450648860 14175973290 28351946580 70407334007 140814668014 211222002021 281629336028 352036670035 422444004042 704073340070 844888008084 1056110010105 1408146680140 2112220020210 4224440040420