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145306241388 = 2233711217414353
BaseRepresentation
bin1000011101010011101…
…1010100100101101100
3111220001122022212112000
42013110323110211230
54340041344211023
6150430333012300
713332552446550
oct2072473244554
9456048285460
10145306241388
1156695648900
12241b2924090
1310918cc54b9
147066249860
153ba69bb243
hex21d4ed496c

145306241388 has 1152 divisors, whose sum is σ = 535140587520. Its totient is φ = 33210777600.

The previous prime is 145306241329. The next prime is 145306241389. The reversal of 145306241388 is 883142603541.

145306241388 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 0 + 624 + 13 + 8 + 8 = 666.

145306241388 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 2×1453062413882 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145306241389) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 2741627170 + ... + 2741627222.

It is an arithmetic number, because the mean of its divisors is an integer number (464531760).

Almost surely, 2145306241388 is an apocalyptic number.

145306241388 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 145306241388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267570293760).

145306241388 is an abundant number, since it is smaller than the sum of its proper divisors (389834346132).

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

145306241388 is a wasteful number, since it uses less digits than its factorization.

145306241388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 145306241388 in words is "one hundred forty-five billion, three hundred six million, two hundred forty-one thousand, three hundred eighty-eight".