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145155538944 = 214331343587
BaseRepresentation
bin1000011100101111110…
…0011100000000000000
3111212200010202101122000
42013023330130000000
54334234304221234
6150403350544000
713326042503043
oct2071374340000
9455603671560
10145155538944
1156618576929
1224170368000
13108c3a0b960
14705021ac5a
153b9864d899
hex21cbf1c000

145155538944 has 480 divisors, whose sum is σ = 474738781440. Its totient is φ = 43550244864.

The previous prime is 145155538907. The next prime is 145155538949. The reversal of 145155538944 is 449835551541.

145155538944 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 5 + 553 + 89 + 4 + 4 = 666.

It is a super-2 number, since 2×1451555389442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145155538949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247283419 + ... + 247284005.

It is an arithmetic number, because the mean of its divisors is an integer number (989039128).

Almost surely, 2145155538944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145155538944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237369390720).

145155538944 is an abundant number, since it is smaller than the sum of its proper divisors (329583242496).

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

145155538944 is an equidigital number, since it uses as much as digits as its factorization.

145155538944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 648 counting only the distinct ones).

The product of its digits is 8640000, while the sum is 54.

The spelling of 145155538944 in words is "one hundred forty-five billion, one hundred fifty-five million, five hundred thirty-eight thousand, nine hundred forty-four".