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145453342151104 = 26132257405112917
BaseRepresentation
bin100001000100100111111110…
…110010100101000111000000
3201002000012111111121002001021
4201010213332302211013000
5123031101421042313404
61233204202023115224
742431441261534611
oct4104477662450700
9632005444532037
10145453342151104
11423894637577a9
12143919b9ba2b14
136321264402a00
1427cbd9d395c08
1511c38965c8454
hex8449feca51c0

145453342151104 has 168 divisors, whose sum is σ = 313862358241008. Its totient is φ = 66849413529600.

The previous prime is 145453342151099. The next prime is 145453342151233. The reversal of 145453342151104 is 401151243354541.

It is a super-2 number, since 2×1454533421511042 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11260606854 + ... + 11260619770.

Almost surely, 2145453342151104 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 145453342151104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156931179120504).

145453342151104 is an abundant number, since it is smaller than the sum of its proper divisors (168409016089904).

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

145453342151104 is a wasteful number, since it uses less digits than its factorization.

145453342151104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17263 (or 17240 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 43.

The spelling of 145453342151104 in words is "one hundred forty-five trillion, four hundred fifty-three billion, three hundred forty-two million, one hundred fifty-one thousand, one hundred four".