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42042340231040 = 2751713927799897
BaseRepresentation
bin10011000111100101111101…
…10000010100011110000000
312111212012121222101110020202
421203302332300110132000
521002310203044343130
6225225552351224332
711566313245423442
oct1143627660243600
9174765558343222
1042042340231040
111243a069023136
1248701068180a8
131a5c7639a1286
14a54c08278492
154cd93ed9d145
hex263cbec14780

42042340231040 has 128 divisors (see below), whose sum is σ = 107185286728800. Its totient is φ = 15713835614208.

The previous prime is 42042340230997. The next prime is 42042340231043. The reversal of 42042340231040 is 4013204324024.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 42042340230994 and 42042340231012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42042340231043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12387629 + ... + 15412268.

Almost surely, 242042340231040 is an apocalyptic number.

42042340231040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42042340231040 is an abundant number, since it is smaller than the sum of its proper divisors (65142946497760).

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

42042340231040 is a wasteful number, since it uses less digits than its factorization.

42042340231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27800072 (or 27800060 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 42042340231040 its reverse (4013204324024), we get a palindrome (46055544555064).

The spelling of 42042340231040 in words is "forty-two trillion, forty-two billion, three hundred forty million, two hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 139 160 170 272 278 320 340 544 556 640 680 695 1088 1112 1360 1390 2176 2224 2363 2720 2780 4448 4726 5440 5560 8896 9452 10880 11120 11815 17792 18904 22240 23630 37808 44480 47260 75616 88960 94520 151232 189040 302464 378080 756160 1512320 27799897 55599794 111199588 138999485 222399176 277998970 444798352 472598249 555997940 889596704 945196498 1111995880 1779193408 1890392996 2223991760 2362991245 3558386816 3780785992 3864185683 4447983520 4725982490 7561571984 7728371366 8895967040 9451964980 15123143968 15456742732 17791934080 18903929960 19320928415 30246287936 30913485464 37807859920 38641856830 60492575872 61826970928 65691156611 75615719840 77283713660 123653941856 131382313222 151231439680 154567427320 247307883712 262764626444 302462879360 309134854640 328455783055 494615767424 525529252888 618269709280 656911566110 1051058505776 1236539418560 1313823132220 2102117011552 2473078837120 2627646264440 4204234023104 5255292528880 8408468046208 10510585057760 21021170115520 42042340231040