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42401134300 = 22527109755217
BaseRepresentation
bin100111011111010011…
…011111011011011100
311001110000012210112111
4213133103133123130
51143314142244200
631251231243404
73030511460230
oct473723373334
9131400183474
1042401134300
1116a89375858
128274079564
133cc96775a5
1420a34445c0
1511826d40ba
hex9df4df6dc

42401134300 has 72 divisors (see below), whose sum is σ = 105252575904. Its totient is φ = 14524016640.

The previous prime is 42401134297. The next prime is 42401134327. The reversal of 42401134300 is 343110424.

It is a congruent number.

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, 740292 + ... + 795508.

It is an arithmetic number, because the mean of its divisors is an integer number (1461841332).

Almost surely, 242401134300 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 42401134300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52626287952).

42401134300 is an abundant number, since it is smaller than the sum of its proper divisors (62851441604).

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

42401134300 is a wasteful number, since it uses less digits than its factorization.

42401134300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56335 (or 56328 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 42401134300 its reverse (343110424), we get a palindrome (42744244724).

The spelling of 42401134300 in words is "forty-two billion, four hundred one million, one hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1097 2194 4388 5485 7679 10970 15358 21940 27425 30716 38395 54850 55217 76790 109700 110434 153580 191975 220868 276085 383950 386519 552170 767900 773038 1104340 1380425 1546076 1932595 2760850 3865190 5521700 7730380 9662975 19325950 38651900 60573049 121146098 242292196 302865245 424011343 605730490 848022686 1211460980 1514326225 1696045372 2120056715 3028652450 4240113430 6057304900 8480226860 10600283575 21200567150 42401134300