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42320104141000 = 2353759910093037
BaseRepresentation
bin10011001111101011010101…
…10001100011000011001000
312112211202120211012001212111
421213311222301203003020
521021333033130003000
6230001330515552104
711625345426621220
oct1147655261430310
9175752524161774
1042320104141000
1112536945560914
1248b5b052bb634
131a7c9cba9894a
14a64438141080
154d5c9a345cba
hex267d6ac630c8

42320104141000 has 128 divisors (see below), whose sum is σ = 113365002816000. Its totient is φ = 14485525267200.

The previous prime is 42320104140971. The next prime is 42320104141009. The reversal of 42320104141000 is 14140102324.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42320104141009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 853519 + ... + 9239518.

It is an arithmetic number, because the mean of its divisors is an integer number (885664084500).

Almost surely, 242320104141000 is an apocalyptic number.

42320104141000 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 42320104141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56682501408000).

42320104141000 is an abundant number, since it is smaller than the sum of its proper divisors (71044898675000).

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

42320104141000 is a wasteful number, since it uses less digits than its factorization.

42320104141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10093664 (or 10093650 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 42320104141000 its reverse (14140102324), we get a palindrome (42334244243324).

The spelling of 42320104141000 in words is "forty-two trillion, three hundred twenty billion, one hundred four million, one hundred forty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 599 700 875 1000 1198 1400 1750 2396 2995 3500 4193 4792 5990 7000 8386 11980 14975 16772 20965 23960 29950 33544 41930 59900 74875 83860 104825 119800 149750 167720 209650 299500 419300 524125 599000 838600 1048250 2096500 4193000 10093037 20186074 40372148 50465185 70651259 80744296 100930370 141302518 201860740 252325925 282605036 353256295 403721480 504651850 565210072 706512590 1009303700 1261629625 1413025180 1766281475 2018607400 2523259250 2826050360 3532562950 5046518500 6045729163 7065125900 8831407375 10093037000 12091458326 14130251800 17662814750 24182916652 30228645815 35325629500 42320104141 48365833304 60457291630 70651259000 84640208282 120914583260 151143229075 169280416564 211600520705 241829166520 302286458150 338560833128 423201041410 604572916300 755716145375 846402082820 1058002603525 1209145832600 1511432290750 1692804165640 2116005207050 3022864581500 4232010414100 5290013017625 6045729163000 8464020828200 10580026035250 21160052070500 42320104141000