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42020243400 = 23352293239023
BaseRepresentation
bin100111001000100110…
…100000011111001000
311000110110111112110010
4213020212200133020
51142024140242100
631145343351520
73015205114152
oct471046403710
9130413445403
1042020243400
1116903371893
1281885b25a0
133c68796a65
142068a15ad2
15115e047750
hex9c89a07c8

42020243400 has 96 divisors (see below), whose sum is σ = 130707884160. Its totient is φ = 11167107840.

The previous prime is 42020243341. The next prime is 42020243411. The reversal of 42020243400 is 434202024.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56289 + ... + 295311.

It is an arithmetic number, because the mean of its divisors is an integer number (1361540460).

Almost surely, 242020243400 is an apocalyptic number.

42020243400 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 42020243400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65353942080).

42020243400 is an abundant number, since it is smaller than the sum of its proper divisors (88687640760).

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

42020243400 is a wasteful number, since it uses less digits than its factorization.

42020243400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239335 (or 239326 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 42020243400 its reverse (434202024), we get a palindrome (42454445424).

The spelling of 42020243400 in words is "forty-two billion, twenty million, two hundred forty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 293 300 586 600 879 1172 1465 1758 2344 2930 3516 4395 5860 7032 7325 8790 11720 14650 17580 21975 29300 35160 43950 58600 87900 175800 239023 478046 717069 956092 1195115 1434138 1912184 2390230 2868276 3585345 4780460 5736552 5975575 7170690 9560920 11951150 14341380 17926725 23902300 28682760 35853450 47804600 70033739 71706900 140067478 143413800 210101217 280134956 350168695 420202434 560269912 700337390 840404868 1050506085 1400674780 1680809736 1750843475 2101012170 2801349560 3501686950 4202024340 5252530425 7003373900 8404048680 10505060850 14006747800 21010121700 42020243400