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42220140430340 = 22523472229181439
BaseRepresentation
bin10011001100110001001000…
…11110010000010000000100
312112111012120011211102020102
421212120210132100100010
521013213321422232330
6225443355330423232
711615206303244435
oct1146304436202004
9175435504742212
1042220140430340
11124a8508661504
12489a667731b18
131a7345a953ab2
14a5d673c4948c
154d33993c8945
hex266624790404

42220140430340 has 144 divisors (see below), whose sum is σ = 94940816947200. Its totient is φ = 15740968666368.

The previous prime is 42220140430327. The next prime is 42220140430343. The reversal of 42220140430340 is 4303404102224.

It is not an unprimeable number, because it can be changed into a prime (42220140430343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232605341 + ... + 232786779.

It is an arithmetic number, because the mean of its divisors is an integer number (659311228800).

Almost surely, 242220140430340 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 42220140430340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47470408473600).

42220140430340 is an abundant number, since it is smaller than the sum of its proper divisors (52720676516860).

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

42220140430340 is a wasteful number, since it uses less digits than its factorization.

42220140430340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181794 (or 181745 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 42220140430340 its reverse (4303404102224), we get a palindrome (46523544532564).

The spelling of 42220140430340 in words is "forty-two trillion, two hundred twenty billion, one hundred forty million, four hundred thirty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 47 92 94 115 188 229 230 235 458 460 470 916 940 1081 1145 2162 2209 2290 4324 4418 4580 5267 5405 8836 10534 10763 10810 11045 21068 21526 21620 22090 26335 43052 44180 50807 52670 53815 101614 105340 107630 181439 203228 215260 247549 254035 362878 495098 505861 508070 725756 907195 990196 1011722 1016140 1237745 1814390 2023444 2475490 2529305 3628780 4173097 4950980 5058610 8346194 8527633 10117220 11634803 16692388 17055266 20865485 23269606 34110532 41549531 41730970 42638165 46539212 58174015 83099062 83461940 85276330 116348030 166198124 170552660 196135559 207747655 232696060 392271118 400798751 415495310 784542236 801597502 830990620 955639213 980677795 1603195004 1911278426 1952827957 1961355590 2003993755 3822556852 3905655914 3922711180 4007987510 4778196065 7811311828 8015975020 9218371273 9556392130 9764139785 18436742546 19112784260 19528279570 36873485092 39056559140 44915043011 46091856365 89830086022 91782913979 92183712730 179660172044 183565827958 184367425460 224575215055 367131655916 449150430110 458914569895 898300860220 917829139790 1835658279580 2111007021517 4222014043034 8444028086068 10555035107585 21110070215170 42220140430340