Search a number
-
+
17144242465104 = 2438163315829
BaseRepresentation
bin1111100101111011010001…
…1110110110100101010000
32020200222021201211200000000
43321132310132312211100
54221342402032340404
6100243542315130000
73416426211340656
oct371366436664520
966628251750000
1017144242465104
11550a917a16307
121b0a804143900
1397490626c401
14433b001c0dd6
151eae63a30339
hexf97b47b6950

17144242465104 has 90 divisors (see below), whose sum is σ = 49822923573930. Its totient is φ = 5714747453376.

The previous prime is 17144242465087. The next prime is 17144242465123. The reversal of 17144242465104 is 40156424244171.

17144242465104 is a `hidden beast` number, since 1 + 7 + 1 + 4 + 42 + 42 + 465 + 104 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13487550051600 + 3656692413504 = 3672540^2 + 1912248^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 17144242465104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 81552939 + ... + 81762890.

Almost surely, 217144242465104 is an apocalyptic number.

It is an amenable number.

17144242465104 is an abundant number, since it is smaller than the sum of its proper divisors (32678681108826).

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

17144242465104 is an frugal number, since it uses more digits than its factorization.

17144242465104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163315861 (or 163315834 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 17144242465104 in words is "seventeen trillion, one hundred forty-four billion, two hundred forty-two million, four hundred sixty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2187 2916 3888 4374 5832 6561 8748 11664 13122 17496 26244 34992 52488 104976 163315829 326631658 489947487 653263316 979894974 1306526632 1469842461 1959789948 2613053264 2939684922 3919579896 4409527383 5879369844 7839159792 8819054766 11758739688 13228582149 17638109532 23517479376 26457164298 35276219064 39685746447 52914328596 70552438128 79371492894 105828657192 119057239341 158742985788 211657314384 238114478682 317485971576 357171718023 476228957364 634971943152 714343436046 952457914728 1071515154069 1428686872092 1904915829456 2143030308138 2857373744184 4286060616276 5714747488368 8572121232552 17144242465104