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42003343000 = 23531133371103
BaseRepresentation
bin100111000111100110…
…000010011010011000
311000102021200220110101
4213013212002122120
51142010323434000
631143541225144
73014611344643
oct470746023230
9130367626411
1042003343000
11168a4879313
128182a021b4
133c6512a418
142066696a5a
15115c809e6a
hex9c7982698

42003343000 has 128 divisors (see below), whose sum is σ = 99542027520. Its totient is φ = 16588185600.

The previous prime is 42003342917. The next prime is 42003343013. The reversal of 42003343000 is 34330024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38080449 + ... + 38081551.

It is an arithmetic number, because the mean of its divisors is an integer number (777672090).

Almost surely, 242003343000 is an apocalyptic number.

42003343000 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 42003343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49771013760).

42003343000 is an abundant number, since it is smaller than the sum of its proper divisors (57538684520).

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

42003343000 is a wasteful number, since it uses less digits than its factorization.

42003343000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

Adding to 42003343000 its reverse (34330024), we get a palindrome (42037673024).

It can be divided in two parts, 42003 and 343000, that added together give a triangular number (385003 = T877).

The spelling of 42003343000 in words is "forty-two billion, three million, three hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 125 200 226 250 337 452 500 565 674 904 1000 1103 1130 1348 1685 2206 2260 2696 2825 3370 4412 4520 5515 5650 6740 8425 8824 11030 11300 13480 14125 16850 22060 22600 27575 28250 33700 38081 42125 44120 55150 56500 67400 76162 84250 110300 113000 124639 137875 152324 168500 190405 220600 249278 275750 304648 337000 371711 380810 498556 551500 623195 743422 761620 952025 997112 1103000 1246390 1486844 1523240 1858555 1904050 2492780 2973688 3115975 3717110 3808100 4760125 4985560 6231950 7434220 7616200 9292775 9520250 12463900 14868440 15579875 18585550 19040500 24927800 31159750 37171100 38081000 42003343 46463875 62319500 74342200 84006686 92927750 124639000 168013372 185855500 210016715 336026744 371711000 420033430 840066860 1050083575 1680133720 2100167150 4200334300 5250417875 8400668600 10500835750 21001671500 42003343000