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145381047344 = 24135991166857
BaseRepresentation
bin1000011101100101100…
…0101011110000110000
3111220020212002101222222
42013121120223300300
54340220022003334
6150442004220212
713334451340661
oct2073130536060
9456225071888
10145381047344
11567238a1705
122421399a668
131092b657690
14707215d368
153bad345d2e
hex21d962bc30

145381047344 has 40 divisors (see below), whose sum is σ = 303849823200. Its totient is φ = 66986869248.

The previous prime is 145381047341. The next prime is 145381047347. The reversal of 145381047344 is 443740183541.

It is an interprime number because it is at equal distance from previous prime (145381047341) and next prime (145381047347).

It is a super-2 number, since 2×1453810473442 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145381047295 and 145381047304.

It is not an unprimeable number, because it can be changed into a prime (145381047341) 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 7 ways as a sum of consecutive naturals, for example, 458837 + ... + 708020.

It is an arithmetic number, because the mean of its divisors is an integer number (7596245580).

Almost surely, 2145381047344 is an apocalyptic number.

It is an amenable number.

145381047344 is an abundant number, since it is smaller than the sum of its proper divisors (158468775856).

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

145381047344 is a wasteful number, since it uses less digits than its factorization.

145381047344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167477 (or 1167471 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 44.

The spelling of 145381047344 in words is "one hundred forty-five billion, three hundred eighty-one million, forty-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 599 1198 2396 4792 7787 9584 15574 31148 62296 124592 1166857 2333714 4667428 9334856 15169141 18669712 30338282 60676564 121353128 242706256 698947343 1397894686 2795789372 5591578744 9086315459 11183157488 18172630918 36345261836 72690523672 145381047344