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42330933900 = 223252131359041
BaseRepresentation
bin100111011011000111…
…101100101010001100
311001021010010020200200
4213123013230222030
51143143204341100
631240242453500
73026000000313
oct473307545214
9131233106620
1042330933900
1116a527881a2
128254664290
133cb7c687a8
142097dad27a
15117b468e00
hex9db1eca8c

42330933900 has 108 divisors (see below), whose sum is σ = 133697187624. Its totient is φ = 11202048000.

The previous prime is 42330933881. The next prime is 42330933913. The reversal of 42330933900 is 933903324.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61621 + ... + 297420.

Almost surely, 242330933900 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 42330933900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66848593812).

42330933900 is an abundant number, since it is smaller than the sum of its proper divisors (91366253724).

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

42330933900 is a wasteful number, since it uses less digits than its factorization.

42330933900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359192 (or 359182 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 36.

The spelling of 42330933900 in words is "forty-two billion, three hundred thirty million, nine hundred thirty-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 131 150 180 225 262 300 393 450 524 655 786 900 1179 1310 1572 1965 2358 2620 3275 3930 4716 5895 6550 7860 9825 11790 13100 19650 23580 29475 39300 58950 117900 359041 718082 1077123 1436164 1795205 2154246 3231369 3590410 4308492 5385615 6462738 7180820 8976025 10771230 12925476 16156845 17952050 21542460 26928075 32313690 35904100 47034371 53856150 64627380 80784225 94068742 107712300 141103113 161568450 188137484 235171855 282206226 323136900 423309339 470343710 564412452 705515565 846618678 940687420 1175859275 1411031130 1693237356 2116546695 2351718550 2822062260 3527577825 4233093390 4703437100 7055155650 8466186780 10582733475 14110311300 21165466950 42330933900