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145043105200 = 2452794155049
BaseRepresentation
bin1000011100010100111…
…1100010010110110000
3111212101022012011112021
42013011033202112300
54334022013331300
6150344253041224
713323206023630
oct2070517422660
9455338164467
10145043105200
1156570062784
122413a786214
13108a6633906
14703d3106c0
153b8d83ed1a
hex21c53e25b0

145043105200 has 120 divisors (see below), whose sum is σ = 398677384800. Its totient is φ = 49675315200.

The previous prime is 145043105147. The next prime is 145043105231. The reversal of 145043105200 is 2501340541.

It is a happy number.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2607276 + ... + 2662324.

It is an arithmetic number, because the mean of its divisors is an integer number (3322311540).

Almost surely, 2145043105200 is an apocalyptic number.

145043105200 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 145043105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199338692400).

145043105200 is an abundant number, since it is smaller than the sum of its proper divisors (253634279600).

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

145043105200 is a wasteful number, since it uses less digits than its factorization.

145043105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56015 (or 56004 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 145043105200 its reverse (2501340541), we get a palindrome (147544445741).

The spelling of 145043105200 in words is "one hundred forty-five billion, forty-three million, one hundred five thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 941 1400 1882 2800 3764 4705 6587 7528 9410 13174 15056 18820 23525 26348 32935 37640 47050 52696 55049 65870 75280 94100 105392 110098 131740 164675 188200 220196 263480 275245 329350 376400 385343 440392 526960 550490 658700 770686 880784 1100980 1317400 1376225 1541372 1926715 2201960 2634800 2752450 3082744 3853430 4403920 5504900 6165488 7706860 9633575 11009800 15413720 19267150 22019600 30827440 38534300 51801109 77068600 103602218 154137200 207204436 259005545 362607763 414408872 518011090 725215526 828817744 1036022180 1295027725 1450431052 1813038815 2072044360 2590055450 2900862104 3626077630 4144088720 5180110900 5801724208 7252155260 9065194075 10360221800 14504310520 18130388150 20720443600 29008621040 36260776300 72521552600 145043105200