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42122144202 = 23192373359613
BaseRepresentation
bin100111001110101011…
…001110100111001010
311000201120020122001220
4213032223032213022
51142231232103302
631203423422510
73020553214065
oct471653164712
9130646218056
1042122144202
1116955941426
1281b6754a36
133c839247a8
14207837d8dc
151167e754bc
hex9ceace9ca

42122144202 has 128 divisors (see below), whose sum is σ = 94216089600. Its totient is φ = 12493730304.

The previous prime is 42122144201. The next prime is 42122144231. The reversal of 42122144202 is 20244122124.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42122144201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68714448 + ... + 68715060.

It is an arithmetic number, because the mean of its divisors is an integer number (736063200).

Almost surely, 242122144202 is an apocalyptic number.

42122144202 is an abundant number, since it is smaller than the sum of its proper divisors (52093945398).

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

42122144202 is a wasteful number, since it uses less digits than its factorization.

42122144202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 42122144202 its reverse (20244122124), we get a palindrome (62366266326).

The spelling of 42122144202 in words is "forty-two billion, one hundred twenty-two million, one hundred forty-four thousand, two hundred two".

Divisors: 1 2 3 6 19 23 38 46 57 69 73 114 138 146 219 359 437 438 613 718 874 1077 1226 1311 1387 1679 1839 2154 2622 2774 3358 3678 4161 5037 6821 8257 8322 10074 11647 13642 14099 16514 20463 23294 24771 26207 28198 31901 34941 40926 42297 44749 49542 52414 63802 69882 78621 84594 89498 95703 134247 156883 157242 191406 220067 267881 268494 313766 440134 470649 497933 535762 602761 660201 803643 850231 941298 995866 1029227 1205522 1320402 1493799 1607286 1700462 1808283 2058454 2550693 2987598 3087681 3616566 4181273 5061541 5101386 6175362 8362546 10123082 11452459 12543819 15184623 16064891 19555313 22904918 25087638 30369246 32129782 34357377 39110626 48194673 58665939 68714754 96169279 96389346 117331878 192338558 288507837 305232929 369492493 577015674 610465858 738984986 915698787 1108477479 1831397574 2216954958 7020357367 14040714734 21061072101 42122144202