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145345554024 = 2331117297511487
BaseRepresentation
bin1000011101011101000…
…1010010011001101000
3111220011101022011022120
42013113101102121220
54340131430212044
6150434255351240
713333540552626
oct2072721223150
9456141264276
10145345554024
1156705859a90
1224203b22520
13109241ab208
14706b560516
153baa184519
hex21d7452668

145345554024 has 256 divisors, whose sum is σ = 435057868800. Its totient is φ = 39943680000.

The previous prime is 145345554023. The next prime is 145345554043. The reversal of 145345554024 is 420455543541.

It is a super-2 number, since 2×1453455540242 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145345554023) 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 63 ways as a sum of consecutive naturals, for example, 97743409 + ... + 97744895.

It is an arithmetic number, because the mean of its divisors is an integer number (1699444800).

Almost surely, 2145345554024 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 145345554024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217528934400).

145345554024 is an abundant number, since it is smaller than the sum of its proper divisors (289712314776).

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

145345554024 is a wasteful number, since it uses less digits than its factorization.

145345554024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 42.

The spelling of 145345554024 in words is "one hundred forty-five billion, three hundred forty-five million, five hundred fifty-four thousand, twenty-four".