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145052000000 = 285636263
BaseRepresentation
bin1000011100010111000…
…1011101111100000000
3111212101220221001220022
42013011301131330000
54334031303000000
6150345211433012
713323344441165
oct2070561357400
9455356831808
10145052000000
1156575088556
1224141755768
13108a84293cb
14704058806c
153b8e4ea585
hex21c5c5df00

145052000000 has 126 divisors (see below), whose sum is σ = 361927086024. Its totient is φ = 58019200000.

The previous prime is 145051999999. The next prime is 145052000003. The reversal of 145052000000 is 250541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145052000003) 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 13 ways as a sum of consecutive naturals, for example, 3981869 + ... + 4018131.

Almost surely, 2145052000000 is an apocalyptic number.

145052000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145052000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180963543012).

145052000000 is an abundant number, since it is smaller than the sum of its proper divisors (216875086024).

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

145052000000 is an frugal number, since it uses more digits than its factorization.

145052000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36309 (or 36270 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

Adding to 145052000000 its reverse (250541), we get a palindrome (145052250541).

The spelling of 145052000000 in words is "one hundred forty-five billion, fifty-two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 15625 16000 20000 25000 31250 32000 36263 40000 50000 62500 72526 80000 100000 125000 145052 160000 181315 200000 250000 290104 362630 400000 500000 580208 725260 800000 906575 1000000 1160416 1450520 1813150 2000000 2320832 2901040 3626300 4000000 4532875 4641664 5802080 7252600 9065750 9283328 11604160 14505200 18131500 22664375 23208320 29010400 36263000 45328750 46416640 58020800 72526000 90657500 113321875 116041600 145052000 181315000 226643750 232083200 290104000 362630000 453287500 566609375 580208000 725260000 906575000 1133218750 1160416000 1450520000 1813150000 2266437500 2901040000 3626300000 4532875000 5802080000 7252600000 9065750000 14505200000 18131500000 29010400000 36263000000 72526000000 145052000000