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145333452144 = 24322729345523
BaseRepresentation
bin1000011101011010001…
…1000111110101110000
3111220010112112022122210
42013112203013311300
54340120330432034
6150433144132120
713333332650316
oct2072643076560
9456115468583
10145333452144
11566a9a43731
12241bba67040
1310921831a3a
147069ad00b6
153ba90938e9
hex21d68c7d70

145333452144 has 80 divisors (see below), whose sum is σ = 378394031232. Its totient is φ = 48065405184.

The previous prime is 145333452073. The next prime is 145333452151. The reversal of 145333452144 is 441254333541.

145333452144 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 2×1453334521442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3169767 + ... + 3215289.

Almost surely, 2145333452144 is an apocalyptic number.

It is an amenable number.

145333452144 is an abundant number, since it is smaller than the sum of its proper divisors (233060579088).

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

145333452144 is a wasteful number, since it uses less digits than its factorization.

145333452144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46054 (or 46048 counting only the distinct ones).

The product of its digits is 345600, while the sum is 39.

Adding to 145333452144 its reverse (441254333541), we get a palindrome (586587785685).

The spelling of 145333452144 in words is "one hundred forty-five billion, three hundred thirty-three million, four hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 227 293 454 586 681 879 908 1172 1362 1758 1816 2344 2724 3516 3632 4688 5448 7032 10896 14064 45523 66511 91046 133022 136569 182092 199533 266044 273138 364184 399066 532088 546276 728368 798132 1064176 1092552 1596264 2185104 3192528 10333721 13338239 20667442 26676478 31001163 40014717 41334884 53352956 62002326 80029434 82669768 106705912 124004652 160058868 165339536 213411824 248009304 320117736 496018608 640235472 3027780253 6055560506 9083340759 12111121012 18166681518 24222242024 36333363036 48444484048 72666726072 145333452144