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145234411000 = 2353731669283
BaseRepresentation
bin1000011101000010100…
…1010011110111111000
3111212212122011111202021
42013100221103313320
54334420002123000
6150415245244224
713331021060530
oct2072051236770
9455778144667
10145234411000
1156659047648
1224192863674
1310907165803
14705a8ac4c0
153ba052d11a
hex21d0a53df8

145234411000 has 128 divisors (see below), whose sum is σ = 400927887360. Its totient is φ = 48188304000.

The previous prime is 145234410989. The next prime is 145234411019. The reversal of 145234411000 is 114432541.

145234411000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 31 ways as a sum of consecutive naturals, for example, 117642 + ... + 551641.

It is an arithmetic number, because the mean of its divisors is an integer number (3132249120).

Almost surely, 2145234411000 is an apocalyptic number.

145234411000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145234411000 is an abundant number, since it is smaller than the sum of its proper divisors (255693476360).

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

145234411000 is a wasteful number, since it uses less digits than its factorization.

145234411000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669342 (or 669328 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 145234411000 its reverse (114432541), we get a palindrome (145348843541).

The spelling of 145234411000 in words is "one hundred forty-five billion, two hundred thirty-four million, four hundred eleven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 31 35 40 50 56 62 70 100 124 125 140 155 175 200 217 248 250 280 310 350 434 500 620 700 775 868 875 1000 1085 1240 1400 1550 1736 1750 2170 3100 3500 3875 4340 5425 6200 7000 7750 8680 10850 15500 21700 27125 31000 43400 54250 108500 217000 669283 1338566 2677132 3346415 4684981 5354264 6692830 9369962 13385660 16732075 18739924 20747773 23424905 26771320 33464150 37479848 41495546 46849810 66928300 82991092 83660375 93699620 103738865 117124525 133856600 145234411 165982184 167320750 187399240 207477730 234249050 290468822 334641500 414955460 468498100 518694325 580937644 585622625 669283000 726172055 829910920 936996200 1037388650 1161875288 1171245250 1452344110 2074777300 2342490500 2593471625 2904688220 3630860275 4149554600 4684981000 5186943250 5809376440 7261720550 10373886500 14523441100 18154301375 20747773000 29046882200 36308602750 72617205500 145234411000