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42404541000 = 2335397114557
BaseRepresentation
bin100111011111100000…
…011111001001001000
311001110020121212122120
4213133200133021020
51143321030303000
631251432251240
73030552436263
oct473740371110
9131406555576
1042404541000
1116a90292308
128275240b20
133cca29b0a3
1420a3a8dcda
151182b586a0
hex9df81f248

42404541000 has 128 divisors (see below), whose sum is σ = 132447519360. Its totient is φ = 11295456000.

The previous prime is 42404540963. The next prime is 42404541001. The reversal of 42404541000 is 14540424.

It is a happy number.

42404541000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (42404541001) 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, 2905722 + ... + 2920278.

It is an arithmetic number, because the mean of its divisors is an integer number (1034746245).

Almost surely, 242404541000 is an apocalyptic number.

42404541000 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 42404541000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66223759680).

42404541000 is an abundant number, since it is smaller than the sum of its proper divisors (90042978360).

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

42404541000 is a wasteful number, since it uses less digits than its factorization.

42404541000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15552 (or 15538 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The spelling of 42404541000 in words is "forty-two billion, four hundred four million, five hundred forty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 971 1000 1500 1942 2913 3000 3884 4855 5826 7768 9710 11652 14557 14565 19420 23304 24275 29114 29130 38840 43671 48550 58228 58260 72785 72825 87342 97100 116456 116520 121375 145570 145650 174684 194200 218355 242750 291140 291300 349368 363925 364125 436710 485500 582280 582600 727850 728250 873420 971000 1091775 1455700 1456500 1746840 1819625 2183550 2911400 2913000 3639250 4367100 5458875 7278500 8734200 10917750 14134847 14557000 21835500 28269694 42404541 43671000 56539388 70674235 84809082 113078776 141348470 169618164 212022705 282696940 339236328 353371175 424045410 565393880 706742350 848090820 1060113525 1413484700 1696181640 1766855875 2120227050 2826969400 3533711750 4240454100 5300567625 7067423500 8480908200 10601135250 14134847000 21202270500 42404541000