Search a number
-
+
441206141145432 = 233131414122247261
BaseRepresentation
bin110010001010001100100111…
…1010100001101000101011000
32010212011220011120112202020120
41210110121033110031011120
5430312210134113123212
64202211145245553240
7161635043323411245
oct14424311724150530
92125156146482216
10441206141145432
11118644523502263
1241598857b75820
1315c257397b7780
147ad46c3abc5cc
153601bb6c4e88c
hex191464f50d158

441206141145432 has 32 divisors (see below), whose sum is σ = 1187862687700080. Its totient is φ = 135755735736960.

The previous prime is 441206141145313. The next prime is 441206141145439. The reversal of 441206141145432 is 234541141602144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441206141145439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 707061123319 + ... + 707061123942.

Almost surely, 2441206141145432 is an apocalyptic number.

It is an amenable number.

441206141145432 is an abundant number, since it is smaller than the sum of its proper divisors (746656546554648).

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

441206141145432 is a wasteful number, since it uses less digits than its factorization.

441206141145432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414122247283 (or 1414122247279 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

Adding to 441206141145432 its reverse (234541141602144), we get a palindrome (675747282747576).

The spelling of 441206141145432 in words is "four hundred forty-one trillion, two hundred six billion, one hundred forty-one million, one hundred forty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 1414122247261 2828244494522 4242366741783 5656488989044 8484733483566 11312977978088 16969466967132 18383589214393 33938933934264 36767178428786 55150767643179 73534356857572 110301535286358 147068713715144 220603070572716 441206141145432