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42554232144 = 243398505167
BaseRepresentation
bin100111101000011011…
…100000110101010000
311001211200021222022000
4213220123200311100
51144122340412034
631314340514000
73034351001514
oct475033406520
9131750258260
1042554232144
11170578334a6
1282b73ab900
1340222bc528
1420b98d8144
151190d76599
hex9e86e0d50

42554232144 has 40 divisors (see below), whose sum is σ = 122146408320. Its totient is φ = 14184743904.

The previous prime is 42554232139. The next prime is 42554232187. The reversal of 42554232144 is 44123245524.

42554232144 is a `hidden beast` number, since 4 + 255 + 42 + 321 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 42554232099 and 42554232108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49252152 + ... + 49253015.

It is an arithmetic number, because the mean of its divisors is an integer number (3053660208).

Almost surely, 242554232144 is an apocalyptic number.

It is an amenable number.

42554232144 is an abundant number, since it is smaller than the sum of its proper divisors (79592176176).

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

42554232144 is a wasteful number, since it uses less digits than its factorization.

42554232144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98505184 (or 98505172 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

Adding to 42554232144 its reverse (44123245524), we get a palindrome (86677477668).

The spelling of 42554232144 in words is "forty-two billion, five hundred fifty-four million, two hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 98505167 197010334 295515501 394020668 591031002 788041336 886546503 1182062004 1576082672 1773093006 2364124008 2659639509 3546186012 4728248016 5319279018 7092372024 10638558036 14184744048 21277116072 42554232144