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120453312432 = 24343313186451
BaseRepresentation
bin111000000101110010…
…0111010111110110000
3102111220121011021020210
41300023210322332300
53433142021444212
6131200244304120
711462642155665
oct1601344727660
9374817137223
10120453312432
11470a18334a2
121b4176a2040
13b4880a398b
145b89627a6c
1531eeb9a53c
hex1c0b93afb0

120453312432 has 80 divisors (see below), whose sum is σ = 319426583168. Its totient is φ = 39091852800.

The previous prime is 120453312431. The next prime is 120453312461. The reversal of 120453312432 is 234213354021.

It is a self number, because there is not a number n which added to its sum of digits gives 120453312432.

It is not an unprimeable number, because it can be changed into a prime (120453312431) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 552807 + ... + 739257.

Almost surely, 2120453312432 is an apocalyptic number.

120453312432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120453312432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159713291584).

120453312432 is an abundant number, since it is smaller than the sum of its proper divisors (198973270736).

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

120453312432 is a wasteful number, since it uses less digits than its factorization.

120453312432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186818 (or 186812 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 120453312432 its reverse (234213354021), we get a palindrome (354666666453).

The spelling of 120453312432 in words is "one hundred twenty billion, four hundred fifty-three million, three hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 313 344 516 626 688 939 1032 1252 1878 2064 2504 3756 5008 7512 13459 15024 26918 40377 53836 80754 107672 161508 186451 215344 323016 372902 559353 646032 745804 1118706 1491608 2237412 2983216 4474824 8017393 8949648 16034786 24052179 32069572 48104358 58359163 64139144 96208716 116718326 128278288 175077489 192417432 233436652 350154978 384834864 466873304 700309956 933746608 1400619912 2509444009 2801239824 5018888018 7528332027 10037776036 15056664054 20075552072 30113328108 40151104144 60226656216 120453312432