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42142131342040 = 235163282148299
BaseRepresentation
bin10011001010011111110101…
…10001001100101011011000
312112012202012120222010122211
421211033322301030223120
521010424041110421130
6225343454453124504
711606445205033222
oct1145177261145330
9175182176863584
1042142131342040
11124784175548a4
124887516629734
131a68ca8133752
14a59993681412
154d1330ac4a2a
hex2653fac4cad8

42142131342040 has 96 divisors (see below), whose sum is σ = 95523264522000. Its totient is φ = 16732683682560.

The previous prime is 42142131342037. The next prime is 42142131342053. The reversal of 42142131342040 is 4024313124124.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 42142131341993 and 42142131342011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 872501811 + ... + 872550109.

Almost surely, 242142131342040 is an apocalyptic number.

42142131342040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42142131342040 is an abundant number, since it is smaller than the sum of its proper divisors (53381133179960).

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

42142131342040 is a wasteful number, since it uses less digits than its factorization.

42142131342040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49457 (or 49290 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 42142131342040 its reverse (4024313124124), we get a palindrome (46166444466164).

The spelling of 42142131342040 in words is "forty-two trillion, one hundred forty-two billion, one hundred thirty-one million, three hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 163 326 652 815 821 1304 1630 1642 3260 3284 4105 6520 6568 8210 16420 26569 32840 48299 53138 96598 106276 132845 133823 193196 212552 241495 265690 267646 386392 482990 531380 535292 669115 965980 1062760 1070584 1338230 1931960 2676460 5352920 7872737 15745474 21813149 31490948 39363685 39653479 43626298 62981896 78727370 79306958 87252596 109065745 157454740 158613916 174505192 198267395 218131490 314909480 317227832 396534790 436262980 793069580 872525960 1283256131 1586139160 2566512262 5133024524 6416280655 6463517077 10266049048 12832561310 12927034154 25665122620 25854068308 32317585385 51330245240 51708136616 64635170770 129270341540 258540683080 1053553283551 2107106567102 4214213134204 5267766417755 8428426268408 10535532835510 21071065671020 42142131342040