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145181939728 = 24767313671409
BaseRepresentation
bin1000011100110110000…
…1001001100000010000
3111212201222102200200211
42013031201021200100
54334313034032403
6150410132453504
713326513061210
oct2071541114020
9455658380624
10145181939728
1156631469161
122417917a294
13108c9323617
147053930240
153b9ab1606d
hex21cd849810

145181939728 has 80 divisors (see below), whose sum is σ = 322416149760. Its totient is φ = 62038867968.

The previous prime is 145181939723. The next prime is 145181939759. The reversal of 145181939728 is 827939181541.

It is not an unprimeable number, because it can be changed into a prime (145181939723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103038288 + ... + 103039696.

It is an arithmetic number, because the mean of its divisors is an integer number (4030201872).

Almost surely, 2145181939728 is an apocalyptic number.

It is an amenable number.

145181939728 is an abundant number, since it is smaller than the sum of its proper divisors (177234210032).

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

145181939728 is a wasteful number, since it uses less digits than its factorization.

145181939728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3464 (or 3458 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 58.

The spelling of 145181939728 in words is "one hundred forty-five billion, one hundred eighty-one million, nine hundred thirty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 673 1346 1367 1409 2692 2734 2818 4711 5384 5468 5636 9422 9569 9863 10768 10936 11272 18844 19138 19726 21872 22544 37688 38276 39452 75376 76552 78904 153104 157808 919991 948257 1839982 1896514 1926103 3679964 3793028 3852206 6439937 6637799 7359928 7586056 7704412 12879874 13275598 13482721 14719856 15172112 15408824 25759748 26551196 26965442 30817648 51519496 53102392 53930884 103038992 106204784 107861768 215723536 1296267319 2592534638 5185069276 9073871233 10370138552 18147742466 20740277104 36295484932 72590969864 145181939728