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42421243234040 = 23511252138243521
BaseRepresentation
bin10011010010100111101110…
…01000100100011011111000
312120012102122101020100000022
421221103313020210123320
521030012201231442130
6230120014453430012
711635555645002536
oct1151236710443370
9176172571210008
1042421243234040
1112575825982420
12491163063b308
131a893c9595b28
14a692b0599156
154d87195897e5
hex2694f72246f8

42421243234040 has 64 divisors (see below), whose sum is σ = 104166175482720. Its totient is φ = 15419787264000.

The previous prime is 42421243234031. The next prime is 42421243234121. The reversal of 42421243234040 is 4043234212424.

42421243234040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18012521 + ... + 20231000.

Almost surely, 242421243234040 is an apocalyptic number.

42421243234040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42421243234040 is an abundant number, since it is smaller than the sum of its proper divisors (61744932248680).

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

42421243234040 is a wasteful number, since it uses less digits than its factorization.

42421243234040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38246064 (or 38246060 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 42421243234040 its reverse (4043234212424), we get a palindrome (46464477446464).

The spelling of 42421243234040 in words is "forty-two trillion, four hundred twenty-one billion, two hundred forty-three million, two hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2521 5042 10084 12605 20168 25210 27731 50420 55462 100840 110924 138655 221848 277310 554620 1109240 38243521 76487042 152974084 191217605 305948168 382435210 420678731 764870420 841357462 1529740840 1682714924 2103393655 3365429848 4206787310 8413574620 16827149240 96411916441 192823832882 385647665764 482059582205 771295331528 964119164410 1060531080851 1928238328820 2121062161702 3856476657640 4242124323404 5302655404255 8484248646808 10605310808510 21210621617020 42421243234040