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142100004014300 = 2252192320879155741
BaseRepresentation
bin100000010011110100111100…
…010000110000100011011100
3200122010121221121021200101202
4200103310330100300203130
5122111131302011424200
61222115501325055032
741634246365632133
oct4023647420604334
9618117847250352
10142100004014300
11413063007aa132
1213b2bb239b7478
136139c8555b717
14271396956491a
151166531c481d5
hex813d3c4308dc

142100004014300 has 144 divisors (see below), whose sum is σ = 338717170713600. Its totient is φ = 51504389164800.

The previous prime is 142100004014273. The next prime is 142100004014363. The reversal of 142100004014300 is 3410400001241.

It is a super-2 number, since 2×1421000040143002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 912334430 + ... + 912490170.

It is an arithmetic number, because the mean of its divisors is an integer number (2352202574400).

Almost surely, 2142100004014300 is an apocalyptic number.

142100004014300 is a gapful number since it is divisible by the number (10) 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 142100004014300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169358585356800).

142100004014300 is an abundant number, since it is smaller than the sum of its proper divisors (196617166699300).

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

142100004014300 is a wasteful number, since it uses less digits than its factorization.

142100004014300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176676 (or 176669 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 142100004014300 its reverse (3410400001241), we get a palindrome (145510404015541).

The spelling of 142100004014300 in words is "one hundred forty-two trillion, one hundred billion, four million, fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 23 25 38 46 50 76 92 95 100 115 190 230 380 437 460 475 575 874 950 1150 1748 1900 2185 2300 4370 8740 10925 20879 21850 41758 43700 83516 104395 155741 208790 311482 396701 417580 480217 521975 622964 778705 793402 960434 1043950 1557410 1586804 1920868 1983505 2087900 2401085 2959079 3114820 3582043 3893525 3967010 4802170 5918158 7164086 7787050 7934020 9124123 9604340 9917525 11836316 12005425 14328172 14795395 15574100 17910215 18248246 19835050 24010850 29590790 35820430 36496492 39670100 45620615 48021700 59181580 68058817 71640860 73976975 89551075 91241230 136117634 147953950 179102150 182482460 228103075 272235268 295907900 340294085 358204300 456206150 680588170 912412300 1361176340 1701470425 3251716339 3402940850 6503432678 6805881700 13006865356 16258581695 32517163390 61782610441 65034326780 74789475797 81292908475 123565220882 149578951594 162585816950 247130441764 299157903188 308913052205 325171633900 373947378985 617826104410 747894757970 1235652208820 1421000040143 1495789515940 1544565261025 1869736894925 2842000080286 3089130522050 3739473789850 5684000160572 6178261044100 7105000200715 7478947579700 14210000401430 28420000802860 35525001003575 71050002007150 142100004014300