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145133705650140 = 2232529433671761827
BaseRepresentation
bin100000111111111110010010…
…111110000101111111011100
3201000212122110111010102222200
4200333332102332011333130
5123010332312121301030
61232401300503411500
742366364344234264
oct4077762276057734
9630778414112880
10145133705650140
114227594a236709
121433ba74453b90
1362ca0852caa7c
1427ba71a3507a4
1511ba3da051d60
hex83ff92f85fdc

145133705650140 has 288 divisors, whose sum is σ = 467280760826880. Its totient is φ = 36399268781568.

The previous prime is 145133705650139. The next prime is 145133705650147. The reversal of 145133705650140 is 41056507331541.

145133705650140 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 3 + 3 + 70 + 565 + 0 + 14 + 0 = 666.

145133705650140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145133705650147) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81495907 + ... + 83257733.

It is an arithmetic number, because the mean of its divisors is an integer number (1622502641760).

Almost surely, 2145133705650140 is an apocalyptic number.

145133705650140 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 145133705650140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233640380413440).

145133705650140 is an abundant number, since it is smaller than the sum of its proper divisors (322147055176740).

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

145133705650140 is a wasteful number, since it uses less digits than its factorization.

145133705650140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762281 (or 1762276 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 145133705650140 in words is "one hundred forty-five trillion, one hundred thirty-three billion, seven hundred five million, six hundred fifty thousand, one hundred forty".