Search a number
-
+
42240022012125 = 325375363812319
BaseRepresentation
bin10011001101010110001011…
…00000011110000011011101
312112120002212202112102020100
421212223011200132003131
521014030031113342000
6225500444230011313
711616512060015640
oct1146530540360335
9175502782472210
1042240022012125
111250599025a133
1248a2495aa6b39
131a752a8939782
14a605dc507a57
154d3b5ea52a00
hex266ac581e0dd

42240022012125 has 48 divisors (see below), whose sum is σ = 87022491079680. Its totient is φ = 19309724344800.

The previous prime is 42240022012103. The next prime is 42240022012129. The reversal of 42240022012125 is 52121022004224.

42240022012125 is a `hidden beast` number, since 4 + 2 + 2 + 400 + 220 + 12 + 1 + 25 = 666.

It is not a de Polignac number, because 42240022012125 - 29 = 42240022011613 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42240022012129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2681898285 + ... + 2681914034.

It is an arithmetic number, because the mean of its divisors is an integer number (1812968564160).

Almost surely, 242240022012125 is an apocalyptic number.

42240022012125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42240022012125 is an abundant number, since it is smaller than the sum of its proper divisors (44782469067555).

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

42240022012125 is a wasteful number, since it uses less digits than its factorization.

42240022012125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5363812347 (or 5363812334 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 42240022012125 its reverse (52121022004224), we get a palindrome (94361044016349).

The spelling of 42240022012125 in words is "forty-two trillion, two hundred forty billion, twenty-two million, twelve thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 125 175 225 315 375 525 875 1125 1575 2625 7875 5363812319 16091436957 26819061595 37546686233 48274310871 80457184785 112640058699 134095307975 187733431165 241371554355 337920176097 402285923925 563200293495 670476539875 938667155825 1206857771775 1689600880485 2011429619625 2816001467475 4693335779125 6034288858875 8448004402425 14080007337375 42240022012125