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42411310042240 = 275311213079331
BaseRepresentation
bin10011010010010101001110…
…00100011100110010000000
312120011111000010011220111201
421221022213010130302000
521024331330332322430
6230111253054550544
711635054541161636
oct1151124704346200
9176144003156451
1042411310042240
11125715989493a7
12490b719b08454
131a884a569a449
14a68a0b267356
154d83374c68ca
hex2692a711cc80

42411310042240 has 64 divisors (see below), whose sum is σ = 101715549923520. Its totient is φ = 16909975628800.

The previous prime is 42411310042207. The next prime is 42411310042247. The reversal of 42411310042240 is 4224001311424.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 42411310042199 and 42411310042208.

It is not an unprimeable number, because it can be changed into a prime (42411310042247) 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, 106340626 + ... + 106738705.

It is an arithmetic number, because the mean of its divisors is an integer number (1589305467555).

Almost surely, 242411310042240 is an apocalyptic number.

42411310042240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42411310042240 is an abundant number, since it is smaller than the sum of its proper divisors (59304239881280).

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

42411310042240 is a wasteful number, since it uses less digits than its factorization.

42411310042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213079661 (or 213079649 counting only the distinct ones).

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

Adding to 42411310042240 its reverse (4224001311424), we get a palindrome (46635311353664).

The spelling of 42411310042240 in words is "forty-two trillion, four hundred eleven billion, three hundred ten million, forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 311 320 622 640 1244 1555 2488 3110 4976 6220 9952 12440 19904 24880 39808 49760 99520 199040 213079331 426158662 852317324 1065396655 1704634648 2130793310 3409269296 4261586620 6818538592 8523173240 13637077184 17046346480 27274154368 34092692960 66267671941 68185385920 132535343882 136370771840 265070687764 331338359705 530141375528 662676719410 1060282751056 1325353438820 2120565502112 2650706877640 4241131004224 5301413755280 8482262008448 10602827510560 21205655021120 42411310042240