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42050210503040 = 275239757363157
BaseRepresentation
bin10011000111110100100111…
…10111000001100110000000
312111212221221110200200210022
421203322103313001212000
521002422312342044130
6225233333334353012
711600012262555035
oct1143722367014600
9174787843620708
1042050210503040
1112442437644a63
1248717424bb768
131a6041939265c
14a5535361338c
154cdc50cc07e5
hex263e93dc1980

42050210503040 has 128 divisors (see below), whose sum is σ = 101080526140800. Its totient is φ = 16727534788608.

The previous prime is 42050210503003. The next prime is 42050210503109. The reversal of 42050210503040 is 4030501205024.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115609142 + ... + 115972298.

It is an arithmetic number, because the mean of its divisors is an integer number (789691610475).

Almost surely, 242050210503040 is an apocalyptic number.

42050210503040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42050210503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50540263070400).

42050210503040 is an abundant number, since it is smaller than the sum of its proper divisors (59030315637760).

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

42050210503040 is a wasteful number, since it uses less digits than its factorization.

42050210503040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364172 (or 364160 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 42050210503040 its reverse (4030501205024), we get a palindrome (46080711708064).

The spelling of 42050210503040 in words is "forty-two trillion, fifty billion, two hundred ten million, five hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 239 320 478 640 757 956 1195 1514 1912 2390 3028 3785 3824 4780 6056 7570 7648 9560 12112 15140 15296 19120 24224 30280 30592 38240 48448 60560 76480 96896 121120 152960 180923 242240 361846 363157 484480 723692 726314 904615 1447384 1452628 1809230 1815785 2894768 2905256 3618460 3631570 5789536 5810512 7236920 7263140 11579072 11621024 14473840 14526280 23158144 23242048 28947680 29052560 46484096 57895360 58105120 86794523 115790720 116210240 173589046 232420480 274909849 347178092 433972615 549819698 694356184 867945230 1099639396 1374549245 1388712368 1735890460 2199278792 2749098490 2777424736 3471780920 4398557584 5498196980 5554849472 6943561840 8797115168 10996393960 11109698944 13887123680 17594230336 21992787920 27774247360 35188460672 43985575840 55548494720 65703453911 87971151680 131406907822 175942303360 262813815644 328517269555 525627631288 657034539110 1051255262576 1314069078220 2102510525152 2628138156440 4205021050304 5256276312880 8410042100608 10512552625760 21025105251520 42050210503040