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352130240000 = 295471131461
BaseRepresentation
bin1010001111111001001…
…10010000111000000000
31020122220120011121021202
411013330212100320000
521232130320140000
6425433313040332
734304054440340
oct5077446207000
91218816147252
10352130240000
11126379382180
12582b38560a8
132728a016776
1413086750d20
15925e090dd5
hex51fc990e00

352130240000 has 800 divisors, whose sum is σ = 1133939423232. Its totient is φ = 105984000000.

The previous prime is 352130239997. The next prime is 352130240057. The reversal of 352130240000 is 42031253.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-3 number, since 3×3521302400003 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 763839770 + ... + 763840230.

Almost surely, 2352130240000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352130240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566969711616).

352130240000 is an abundant number, since it is smaller than the sum of its proper divisors (781809183232).

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

352130240000 is an equidigital number, since it uses as much as digits as its factorization.

352130240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 352130240000 its reverse (42031253), we get a palindrome (352172271253).

The spelling of 352130240000 in words is "three hundred fifty-two billion, one hundred thirty million, two hundred forty thousand".