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42402460200 = 23352292436923
BaseRepresentation
bin100111011111011000…
…100011001000101000
311001110002201011022220
4213133120203020220
51143320012211300
631251315514040
73030525651642
oct473730431050
9131402634286
1042402460200
1116a8a0a0a41
1282745b8920
133cc9a1cc49
1420a36ab892
151182896da0
hex9df623228

42402460200 has 96 divisors (see below), whose sum is σ = 135980359200. Its totient is φ = 10917410560.

The previous prime is 42402460109. The next prime is 42402460201. The reversal of 42402460200 is 206420424.

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 (42402460201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1201062 + ... + 1235861.

It is an arithmetic number, because the mean of its divisors is an integer number (1416462075).

Almost surely, 242402460200 is an apocalyptic number.

42402460200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42402460200 is an abundant number, since it is smaller than the sum of its proper divisors (93577899000).

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

42402460200 is a wasteful number, since it uses less digits than its factorization.

42402460200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436971 (or 2436962 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42402460200 its reverse (206420424), we get a palindrome (42608880624).

The spelling of 42402460200 in words is "forty-two billion, four hundred two million, four hundred sixty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 145 150 174 200 232 290 300 348 435 580 600 696 725 870 1160 1450 1740 2175 2900 3480 4350 5800 8700 17400 2436923 4873846 7310769 9747692 12184615 14621538 19495384 24369230 29243076 36553845 48738460 58486152 60923075 70670767 73107690 97476920 121846150 141341534 146215380 182769225 212012301 243692300 282683068 292430760 353353835 365538450 424024602 487384600 565366136 706707670 731076900 848049204 1060061505 1413415340 1462153800 1696098408 1766769175 2120123010 2826830680 3533538350 4240246020 5300307525 7067076700 8480492040 10600615050 14134153400 21201230100 42402460200