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42434112010240 = 21157158365581
BaseRepresentation
bin10011010010111111101100…
…01011000011100000000000
312120020122212020002220021001
421221133312023003200000
521030220030133311430
6230125543440141344
711636522565541516
oct1151376613034000
9176218766086231
1042434112010240
1112580229a7a455
124914022307854
131a8a69a710cc2
14a69b717264b6
154d8c1e21a3ca
hex2697f62c3800

42434112010240 has 96 divisors (see below), whose sum is σ = 103251049181280. Its totient is φ = 16734579097600.

The previous prime is 42434112010223. The next prime is 42434112010243. The reversal of 42434112010240 is 4201021143424.

It is a super-2 number, since 2×424341120102402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42434112010199 and 42434112010208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42434112010243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28455751 + ... + 29909830.

It is an arithmetic number, because the mean of its divisors is an integer number (1075531762305).

Almost surely, 242434112010240 is an apocalyptic number.

42434112010240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42434112010240 is an abundant number, since it is smaller than the sum of its proper divisors (60816937171040).

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

42434112010240 is an equidigital number, since it uses as much as digits as its factorization.

42434112010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58365679 (or 58365659 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 42434112010240 its reverse (4201021143424), we get a palindrome (46635133153664).

The spelling of 42434112010240 in words is "forty-two trillion, four hundred thirty-four billion, one hundred twelve million, ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 128 142 160 256 284 320 355 512 568 640 710 1024 1136 1280 1420 2048 2272 2560 2840 4544 5120 5680 9088 10240 11360 18176 22720 36352 45440 72704 90880 145408 181760 363520 727040 58365581 116731162 233462324 291827905 466924648 583655810 933849296 1167311620 1867698592 2334623240 3735397184 4143956251 4669246480 7470794368 8287912502 9338492960 14941588736 16575825004 18676985920 20719781255 29883177472 33151650008 37353971840 41439562510 59766354944 66303300016 74707943680 82879125020 119532709888 132606600032 149415887360 165758250040 265213200064 298831774720 331516500080 530426400128 597663549440 663033000160 1060852800256 1326066000320 2121705600512 2652132000640 4243411201024 5304264001280 8486822402048 10608528002560 21217056005120 42434112010240