Search a number
-
+
42353235324 = 223297109111117
BaseRepresentation
bin100111011100011100…
…110001010101111100
311001022200002021111100
4213130130301111330
51143214412012244
631242400453100
73026360363121
oct473434612574
9131280067440
1042353235324
1116a6432a624
12826001a190
133cbc7765ba
14209ad36748
15117d3c1b69
hex9dc73157c

42353235324 has 72 divisors (see below), whose sum is σ = 108272153808. Its totient is φ = 13958138880.

The previous prime is 42353235259. The next prime is 42353235343.

It is a happy number.

42353235324 is a `hidden beast` number, since 4 + 2 + 3 + 5 + 323 + 5 + 324 = 666.

42353235324 is nontrivially palindromic in base 10.

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

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, 3804214 + ... + 3815330.

It is an arithmetic number, because the mean of its divisors is an integer number (1503779914).

Almost surely, 242353235324 is an apocalyptic number.

It is an amenable number.

42353235324 is an abundant number, since it is smaller than the sum of its proper divisors (65918918484).

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

42353235324 is a wasteful number, since it uses less digits than its factorization.

42353235324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12315 (or 12310 counting only the distinct ones).

The product of its digits is 259200, while the sum is 36.

The spelling of 42353235324 in words is "forty-two billion, three hundred fifty-three million, two hundred thirty-five thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 97 194 291 388 582 873 1091 1164 1746 2182 3273 3492 4364 6546 9819 11117 13092 19638 22234 33351 39276 44468 66702 100053 105827 133404 200106 211654 317481 400212 423308 634962 952443 1078349 1269924 1904886 2156698 3235047 3809772 4313396 6470094 9705141 12128647 12940188 19410282 24257294 36385941 38820564 48514588 72771882 109157823 145543764 218315646 436631292 1176478759 2352957518 3529436277 4705915036 7058872554 10588308831 14117745108 21176617662 42353235324