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42127226420 = 2252329432712
BaseRepresentation
bin100111001110111110…
…100111011000110100
311000201220210211120012
4213032332213120310
51142234032221140
631204124355352
73020644342046
oct471676473064
9130656724505
1042127226420
11169587a2804
1281b83a5b58
133c849b3b16
142078d03a96
15116862b265
hex9cefa7634

42127226420 has 144 divisors (see below), whose sum is σ = 98079569280. Its totient is φ = 15144433920.

The previous prime is 42127226413. The next prime is 42127226441. The reversal of 42127226420 is 2462272124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155450885 + ... + 155451155.

It is an arithmetic number, because the mean of its divisors is an integer number (681108120).

Almost surely, 242127226420 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 42127226420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49039784640).

42127226420 is an abundant number, since it is smaller than the sum of its proper divisors (55952342860).

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

42127226420 is a wasteful number, since it uses less digits than its factorization.

42127226420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

Adding to 42127226420 its reverse (2462272124), we get a palindrome (44589498544).

The spelling of 42127226420 in words is "forty-two billion, one hundred twenty-seven million, two hundred twenty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 29 43 46 58 86 92 115 116 145 172 215 230 271 290 430 460 542 580 667 860 989 1084 1247 1334 1355 1978 2494 2668 2710 3335 3956 4945 4988 5420 6233 6235 6670 7859 9890 11653 12466 12470 13340 15718 19780 23306 24932 24940 28681 31165 31436 39295 46612 57362 58265 62330 73441 78590 114724 116530 124660 143405 146882 157180 180757 233060 268019 286810 293764 337937 361514 367205 536038 573620 675874 723028 734410 903785 1072076 1340095 1351748 1468820 1689143 1689685 1807570 2129789 2680190 3157963 3378286 3379370 3615140 4259578 5360380 6315926 6756572 6758740 7772551 8445715 8519156 10648945 12631852 15545102 15789815 16891430 21297890 31090204 31579630 33782860 38862755 42595780 48985147 63159260 72633149 77725510 91580927 97970294 145266298 155451020 183161854 195940588 244925735 290532596 363165745 366323708 457904635 489851470 726331490 915809270 979702940 1452662980 1831618540 2106361321 4212722642 8425445284 10531806605 21063613210 42127226420