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42909459300 = 223252223213799
BaseRepresentation
bin100111111101100110…
…100110001101100100
311002202102201101100100
4213331212212031210
51200334310144200
631413510344100
73046223246301
oct477546461544
9132672641310
1042909459300
111721a2a8964
12839635b030
13407aa85a06
142110b660a8
1511b2143d00
hex9fd9a6364

42909459300 has 108 divisors (see below), whose sum is σ = 135101075200. Its totient is φ = 11391157440.

The previous prime is 42909459259. The next prime is 42909459311. The reversal of 42909459300 is 395490924.

It is a happy number.

42909459300 is a `hidden beast` number, since 4 + 290 + 9 + 4 + 59 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93801 + ... + 307599.

Almost surely, 242909459300 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 42909459300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67550537600).

42909459300 is an abundant number, since it is smaller than the sum of its proper divisors (92191615900).

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

42909459300 is a wasteful number, since it uses less digits than its factorization.

42909459300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214042 (or 214032 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 42909459300 in words is "forty-two billion, nine hundred nine million, four hundred fifty-nine thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 223 225 300 446 450 669 892 900 1115 1338 2007 2230 2676 3345 4014 4460 5575 6690 8028 10035 11150 13380 16725 20070 22300 33450 40140 50175 66900 100350 200700 213799 427598 641397 855196 1068995 1282794 1924191 2137990 2565588 3206985 3848382 4275980 5344975 6413970 7696764 9620955 10689950 12827940 16034925 19241910 21379900 32069850 38483820 47677177 48104775 64139700 95354354 96209550 143031531 190708708 192419100 238385885 286063062 429094593 476771770 572126124 715157655 858189186 953543540 1191929425 1430315310 1716378372 2145472965 2383858850 2860630620 3575788275 4290945930 4767717700 7151576550 8581891860 10727364825 14303153100 21454729650 42909459300