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146343438945 = 3251117233124391
BaseRepresentation
bin1000100001001010111…
…1111010101001100001
3111222201220222222002100
42020102233322221201
54344202410021240
6151121303441013
713400345464254
oct2102257725141
9458656888070
10146343438945
1157078068770
1224442156169
1310a52b57772
147123cbb09b
153c17a98e30
hex2212bfaa61

146343438945 has 192 divisors, whose sum is σ = 315614527488. Its totient is φ = 61814016000.

The previous prime is 146343438887. The next prime is 146343438973. The reversal of 146343438945 is 549834343641.

146343438945 is a `hidden beast` number, since 146 + 343 + 43 + 89 + 45 = 666.

It is not a de Polignac number, because 146343438945 - 228 = 146075003489 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 146343438891 and 146343438900.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5987700 + ... + 6012090.

It is an arithmetic number, because the mean of its divisors is an integer number (1643825664).

Almost surely, 2146343438945 is an apocalyptic number.

146343438945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

146343438945 is an abundant number, since it is smaller than the sum of its proper divisors (169271088543).

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

146343438945 is a wasteful number, since it uses less digits than its factorization.

146343438945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24484 (or 24481 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 146343438945 in words is "one hundred forty-six billion, three hundred forty-three million, four hundred thirty-eight thousand, nine hundred forty-five".