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145118550360 = 233571931293311
BaseRepresentation
bin1000011100100110111…
…1010101100101011000
3111212120120011011211110
42013021233111211120
54334200322102420
6150355550100320
713325113216440
oct2071157254530
9455516134743
10145118550360
11565a9702853
122415baaa6a0
13108b915aa14
14704934d120
153b95293ee0
hex21c9bd5958

145118550360 has 256 divisors, whose sum is σ = 540632678400. Its totient is φ = 30410380800.

The previous prime is 145118550337. The next prime is 145118550383. The reversal of 145118550360 is 63055811541.

It is a happy number.

145118550360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (145118550337) and next prime (145118550383).

It is a super-2 number, since 2×1451185503602 (a number of 23 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 348105 + ... + 641415.

It is an arithmetic number, because the mean of its divisors is an integer number (2111846400).

Almost surely, 2145118550360 is an apocalyptic number.

145118550360 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 145118550360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270316339200).

145118550360 is an abundant number, since it is smaller than the sum of its proper divisors (395514128040).

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

145118550360 is a wasteful number, since it uses less digits than its factorization.

145118550360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293382 (or 293378 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 39.

The spelling of 145118550360 in words is "one hundred forty-five billion, one hundred eighteen million, five hundred fifty thousand, three hundred sixty".