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42304155040 = 2557128929303
BaseRepresentation
bin100111011001100001…
…100010110110100000
311001012020201202000001
4213121201202312200
51143114330430130
631233444505344
73025223245660
oct473141426640
9131166652001
1042304155040
1116a39657904
1282476ab254
133cb2550a04
1420945dc1a0
151178e296ca
hex9d9862da0

42304155040 has 96 divisors (see below), whose sum is σ = 114313731840. Its totient is φ = 14492534784.

The previous prime is 42304155031. The next prime is 42304155059. The reversal of 42304155040 is 4055140324.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 1429029 + ... + 1458331.

It is an arithmetic number, because the mean of its divisors is an integer number (1190768040).

Almost surely, 242304155040 is an apocalyptic number.

42304155040 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 42304155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57156865920).

42304155040 is an abundant number, since it is smaller than the sum of its proper divisors (72009576800).

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

42304155040 is a wasteful number, since it uses less digits than its factorization.

42304155040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30614 (or 30606 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 42304155040 its reverse (4055140324), we get a palindrome (46359295364).

The spelling of 42304155040 in words is "forty-two billion, three hundred four million, one hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 1289 2578 5156 6445 9023 10312 12890 18046 20624 25780 29303 36092 41248 45115 51560 58606 72184 90230 103120 117212 144368 146515 180460 205121 206240 234424 288736 293030 360920 410242 468848 586060 721840 820484 937696 1025605 1172120 1443680 1640968 2051210 2344240 3281936 4102420 4688480 6563872 8204840 16409680 32819360 37771567 75543134 151086268 188857835 264400969 302172536 377715670 528801938 604345072 755431340 1057603876 1208690144 1322004845 1510862680 2115207752 2644009690 3021725360 4230415504 5288019380 6043450720 8460831008 10576038760 21152077520 42304155040