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42204056300 = 225271491672423
BaseRepresentation
bin100111010011100011…
…101100101011101100
311000221021101012100022
4213103203230223230
51142413214300200
631215511221312
73022566362630
oct472343545354
9130837335308
1042204056300
11169980a917a
12821a077838
133c978a42a3
1420851c2dc0
151170255885
hex9d38ecaec

42204056300 has 144 divisors (see below), whose sum is σ = 106043212800. Its totient is φ = 14280887040.

The previous prime is 42204056291. The next prime is 42204056317. The reversal of 42204056300 is 365040224.

It is a self number, because there is not a number n which added to its sum of digits gives 42204056300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17416889 + ... + 17419311.

It is an arithmetic number, because the mean of its divisors is an integer number (736411200).

Almost surely, 242204056300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42204056300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53021606400).

42204056300 is an abundant number, since it is smaller than the sum of its proper divisors (63839156500).

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

42204056300 is a wasteful number, since it uses less digits than its factorization.

42204056300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 42204056300 its reverse (365040224), we get a palindrome (42569096524).

The spelling of 42204056300 in words is "forty-two billion, two hundred four million, fifty-six thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 149 167 175 298 334 350 596 668 700 745 835 1043 1169 1490 1670 2086 2338 2423 2980 3340 3725 4172 4175 4676 4846 5215 5845 7450 8350 9692 10430 11690 12115 14900 16700 16961 20860 23380 24230 24883 26075 29225 33922 48460 49766 52150 58450 60575 67844 84805 99532 104300 116900 121150 124415 169610 174181 242300 248830 339220 348362 361027 404641 424025 497660 622075 696724 722054 809282 848050 870905 1244150 1444108 1618564 1696100 1741810 1805135 2023205 2488300 2527189 2832487 3483620 3610270 4046410 4354525 5054378 5664974 7220540 8092820 8709050 9025675 10108756 10116025 11329948 12635945 14162435 17418100 18051350 20232050 25271890 28324870 36102700 40464100 50543780 56649740 60291509 63179725 70812175 120583018 126359450 141624350 241166036 252718900 283248700 301457545 422040563 602915090 844081126 1205830180 1507287725 1688162252 2110202815 3014575450 4220405630 6029150900 8440811260 10551014075 21102028150 42204056300