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145420894080 = 27345711172143
BaseRepresentation
bin1000011101101111000…
…0101011111110000000
3111220100122001211110000
42013123300223332000
54340310222102310
6150445550240000
713335444130140
oct2073360537600
9456318054400
10145420894080
11567443380a0
12242251b6000
1310936999527
147077572920
153bb1ab74c0
hex21dbc2bf80

145420894080 has 1280 divisors, whose sum is σ = 685875548160. Its totient is φ = 28426567680.

The previous prime is 145420894061. The next prime is 145420894109. The reversal of 145420894080 is 80498024541.

145420894080 is a `hidden beast` number, since 1 + 454 + 2 + 0 + 89 + 40 + 80 = 666.

145420894080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1454208940802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 67857489 + ... + 67859631.

It is an arithmetic number, because the mean of its divisors is an integer number (535840272).

Almost surely, 2145420894080 is an apocalyptic number.

145420894080 is a gapful number since it is divisible by the number (10) 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 145420894080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342937774080).

145420894080 is an abundant number, since it is smaller than the sum of its proper divisors (540454654080).

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

145420894080 is a wasteful number, since it uses less digits than its factorization.

145420894080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 145420894080 in words is "one hundred forty-five billion, four hundred twenty million, eight hundred ninety-four thousand, eighty".