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145113478848 = 263213174711093
BaseRepresentation
bin1000011100100101101…
…1111111011011000000
3111212120012121112000200
42013021123333123000
54334143022310343
6150355245245200
713325022134622
oct2071133773300
9455505545020
10145113478848
11565a6859518
122415a263800
13108b80a3520
1470487ccc12
153b94ae14d3
hex21c96ff6c0

145113478848 has 168 divisors, whose sum is σ = 448233899568. Its totient is φ = 44620720128.

The previous prime is 145113478831. The next prime is 145113478877. The reversal of 145113478848 is 848874311541.

It is a happy number.

145113478848 is a `hidden beast` number, since 1 + 4 + 511 + 3 + 4 + 7 + 88 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 145113478794 and 145113478803.

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, 13075990 + ... + 13087082.

It is an arithmetic number, because the mean of its divisors is an integer number (2668058926).

Almost surely, 2145113478848 is an apocalyptic number.

145113478848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145113478848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224116949784).

145113478848 is an abundant number, since it is smaller than the sum of its proper divisors (303120420720).

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

145113478848 is a wasteful number, since it uses less digits than its factorization.

145113478848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12871 (or 12858 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The spelling of 145113478848 in words is "one hundred forty-five billion, one hundred thirteen million, four hundred seventy-eight thousand, eight hundred forty-eight".