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146343510041424 = 2435624095421007
BaseRepresentation
bin100001010001100101000000…
…111011100110001101010000
3201012011022011211112020101020
4201101211000323212031100
5123140143002032311144
61235125140322235440
742552653414004423
oct4121450073461520
9635138154466336
10146343510041424
11426a1a30284013
12144b64294b5b80
136387197bc5627
14281d0c6a3d9ba
1511dbae585c419
hex851940ee6350

146343510041424 has 40 divisors (see below), whose sum is σ = 378054809550720. Its totient is φ = 48781074279168.

The previous prime is 146343510041419. The next prime is 146343510041437. The reversal of 146343510041424 is 424140015343641.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 24285129 + ... + 29706135.

It is an arithmetic number, because the mean of its divisors is an integer number (9451370238768).

Almost surely, 2146343510041424 is an apocalyptic number.

It is an amenable number.

146343510041424 is an abundant number, since it is smaller than the sum of its proper divisors (231711299509296).

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

146343510041424 is a wasteful number, since it uses less digits than its factorization.

146343510041424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5983427 (or 5983421 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 146343510041424 in words is "one hundred forty-six trillion, three hundred forty-three billion, five hundred ten million, forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 562409 1124818 1687227 2249636 3374454 4499272 5421007 6748908 8998544 10842014 13497816 16263021 21684028 26995632 32526042 43368056 65052084 86736112 130104168 260208336 3048823125863 6097646251726 9146469377589 12195292503452 18292938755178 24390585006904 36585877510356 48781170013808 73171755020712 146343510041424