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43242104400440 = 23511225573494063
BaseRepresentation
bin10011101010100000101100…
…10001011010101000111000
312200002220102121100010110112
421311100112101122220320
521131434312211303230
6231545052025203452
712052065441540641
oct1165202621325070
9180086377303415
1043242104400440
1112861967684200
124a24739330588
131b18936467b3a
14a96d013346c8
154eec5e002d95
hex27541645aa38

43242104400440 has 96 divisors (see below), whose sum is σ = 106985654072640. Its totient is φ = 15718247550720.

The previous prime is 43242104400427. The next prime is 43242104400491. The reversal of 43242104400440 is 4400440124234.

It is a junction number, because it is equal to n+sod(n) for n = 43242104400397 and 43242104400406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10628849 + ... + 14122911.

It is an arithmetic number, because the mean of its divisors is an integer number (1114433896590).

Almost surely, 243242104400440 is an apocalyptic number.

43242104400440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43242104400440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53492827036320).

43242104400440 is an abundant number, since it is smaller than the sum of its proper divisors (63743549672200).

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

43242104400440 is a wasteful number, since it uses less digits than its factorization.

43242104400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3496653 (or 3496638 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 43242104400440 its reverse (4400440124234), we get a palindrome (47642544524674).

The spelling of 43242104400440 in words is "forty-three trillion, two hundred forty-two billion, one hundred four million, four hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 2557 4840 5114 10228 12785 20456 25570 28127 51140 56254 102280 112508 140635 225016 281270 309397 562540 618794 1125080 1237588 1546985 2475176 3093970 3494063 6187940 6988126 12375880 13976252 17470315 27952504 34940630 38434693 69881260 76869386 139762520 153738772 192173465 307477544 384346930 422781623 768693860 845563246 1537387720 1691126492 2113908115 3382252984 4227816230 8455632460 8934319091 16911264920 17868638182 35737276364 44671595455 71474552728 89343190910 98277510001 178686381820 196555020002 357372763640 393110040004 491387550005 786220080008 982775100010 1081052610011 1965550200020 2162105220022 3931100400040 4324210440044 5405263050055 8648420880088 10810526100110 21621052200220 43242104400440