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146194393344 = 283709268487
BaseRepresentation
bin1000100000100111011…
…1010110100100000000
3111222100112112122221220
42020021313112210000
54343401231041334
6151054421115040
713363555561056
oct2101167264400
9458315478856
10146194393344
1157000a1858a
1224400258a80
1310a2b0010bc
14710c1a01d6
153c09957449
hex2209dd6900

146194393344 has 72 divisors (see below), whose sum is σ = 389640525120. Its totient is φ = 48662550528.

The previous prime is 146194393321. The next prime is 146194393427. The reversal of 146194393344 is 443393491641.

It is a happy 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, 410269 + ... + 678755.

It is an arithmetic number, because the mean of its divisors is an integer number (5411673960).

Almost surely, 2146194393344 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 146194393344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194820262560).

146194393344 is an abundant number, since it is smaller than the sum of its proper divisors (243446131776).

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

146194393344 is an equidigital number, since it uses as much as digits as its factorization.

146194393344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269215 (or 269201 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 51.

The spelling of 146194393344 in words is "one hundred forty-six billion, one hundred ninety-four million, three hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 709 768 1418 2127 2836 4254 5672 8508 11344 17016 22688 34032 45376 68064 90752 136128 181504 268487 272256 536974 544512 805461 1073948 1610922 2147896 3221844 4295792 6443688 8591584 12887376 17183168 25774752 34366336 51549504 68732672 103099008 190357283 206198016 380714566 571071849 761429132 1142143698 1522858264 2284287396 3045716528 4568574792 6091433056 9137149584 12182866112 18274299168 24365732224 36548598336 48731464448 73097196672 146194393344