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4042134104120 = 2357174631834099
BaseRepresentation
bin111010110100100001111…
…101111010100000111000
3112022102110021102221220222
4322310201331322200320
51012211242312312440
612332533014035212
7565014564661610
oct72644175724070
915272407387828
104042134104120
111319294361722
12553486648b08
13234230049ba8
14dd8d7113a40
1570229ee42b5
hex3ad21f7a838

4042134104120 has 128 divisors (see below), whose sum is σ = 11029250304000. Its totient is φ = 1301534631936.

The previous prime is 4042134104101. The next prime is 4042134104147. The reversal of 4042134104120 is 214014312404.

It is a self number, because there is not a number n which added to its sum of digits gives 4042134104120.

It is a congruent number.

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, 1286831 + ... + 3120929.

It is an arithmetic number, because the mean of its divisors is an integer number (86166018000).

Almost surely, 24042134104120 is an apocalyptic number.

4042134104120 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 4042134104120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5514625152000).

4042134104120 is an abundant number, since it is smaller than the sum of its proper divisors (6987116199880).

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

4042134104120 is a wasteful number, since it uses less digits than its factorization.

4042134104120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834597 (or 1834593 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 4042134104120 its reverse (214014312404), we get a palindrome (4256148416524).

The spelling of 4042134104120 in words is "four trillion, forty-two billion, one hundred thirty-four million, one hundred four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 463 476 595 680 926 952 1190 1852 2315 2380 3241 3704 4630 4760 6482 7871 9260 12964 15742 16205 18520 25928 31484 32410 39355 55097 62968 64820 78710 110194 129640 157420 220388 275485 314840 440776 550970 1101940 1834099 2203880 3668198 7336396 9170495 12838693 14672792 18340990 25677386 31179683 36681980 51354772 62359366 64193465 73363960 102709544 124718732 128386930 155898415 218257781 249437464 256773860 311796830 436515562 513547720 623593660 849187837 873031124 1091288905 1247187320 1698375674 1746062248 2182577810 3396751348 4245939185 4365155620 5944314859 6793502696 8491878370 8730311240 11888629718 14436193229 16983756740 23777259436 28872386458 29721574295 33967513480 47554518872 57744772916 59443148590 72180966145 101053352603 115489545832 118886297180 144361932290 202106705206 237772594360 288723864580 404213410412 505266763015 577447729160 808426820824 1010533526030 2021067052060 4042134104120