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145740241152 = 283211192313159
BaseRepresentation
bin1000011110111011001…
…0111001100100000000
3111221011212222100021100
42013232302321210000
54341434000204102
6150541355054400
713346402416152
oct2075662714400
9457155870240
10145740241152
11568986262a0
12242b4141400
1310987bac4ac
1470a7b40ad2
153bceb48a1c
hex21eecb9900

145740241152 has 432 divisors, whose sum is σ = 503550028800. Its totient is φ = 40017162240.

The previous prime is 145740241151. The next prime is 145740241177. The reversal of 145740241152 is 251142047541.

145740241152 is a `hidden beast` number, since 1 + 4 + 574 + 0 + 24 + 11 + 52 = 666.

It is a super-2 number, since 2×1457402411522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (145740241151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11068749 + ... + 11081907.

Almost surely, 2145740241152 is an apocalyptic number.

145740241152 is a gapful number since it is divisible by the number (12) 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 145740241152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251775014400).

145740241152 is an abundant number, since it is smaller than the sum of its proper divisors (357809787648).

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

145740241152 is a wasteful number, since it uses less digits than its factorization.

145740241152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13234 (or 13217 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

Adding to 145740241152 its reverse (251142047541), we get a palindrome (396882288693).

The spelling of 145740241152 in words is "one hundred forty-five billion, seven hundred forty million, two hundred forty-one thousand, one hundred fifty-two".