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42403222302020 = 225291811505326833
BaseRepresentation
bin10011010010000110001010…
…00000001010110101000100
312120010201010110200010122122
421221003011000022311010
521024213244402131040
6230103434342345112
711634350243420246
oct1151030500126504
9176121113603578
1042403222302020
11125691185a3478
12490a04142b198
131a877b6c16b48
14a68481080096
154d80124491b5
hex2690c500ad44

42403222302020 has 96 divisors (see below), whose sum is σ = 92635886135520. Its totient is φ = 16284250644480.

The previous prime is 42403222301987. The next prime is 42403222302037. The reversal of 42403222302020 is 2020322230424.

It can be written as a sum of positive squares in 16 ways, for example, as 19535392252996 + 22867830049024 = 4419886^2 + 4782032^2 .

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, 1580250524 + ... + 1580277356.

It is an arithmetic number, because the mean of its divisors is an integer number (964957147245).

Almost surely, 242403222302020 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 42403222302020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46317943067760).

42403222302020 is an abundant number, since it is smaller than the sum of its proper divisors (50232663833500).

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

42403222302020 is a wasteful number, since it uses less digits than its factorization.

42403222302020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42105 (or 42103 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 42403222302020 its reverse (2020322230424), we get a palindrome (44423544532444).

The spelling of 42403222302020 in words is "forty-two trillion, four hundred three billion, two hundred twenty-two million, three hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 181 290 362 580 724 905 1810 3620 5249 10498 15053 20996 26245 26833 30106 52490 53666 60212 75265 104980 107332 134165 150530 268330 301060 436537 536660 778157 873074 1556314 1746148 2182685 2724593 3112628 3890785 4365370 4856773 5449186 7781570 8730740 9713546 10898372 13622965 15563140 19427092 24283865 27245930 48567730 54491860 79013197 97135460 140846417 158026394 281692834 316052788 395065985 403917149 563385668 704232085 790131970 807834298 1408464170 1580263940 1615668596 2019585745 2816928340 4039171490 8078342980 11713597321 23427194642 46854389284 58567986605 73109003969 117135973210 146218007938 234271946420 292436015876 365545019845 731090039690 1462180079380 2120161115101 4240322230202 8480644460404 10600805575505 21201611151010 42403222302020