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145054400000 = 295590659
BaseRepresentation
bin1000011100010111101…
…0100111111000000000
3111212102002110000002012
42013011322213320000
54334032411300000
6150345335112052
713323404025236
oct2070572477000
9455362400065
10145054400000
1156576477724
1224142512628
13108a8a89923
147040a10956
153b8e821735
hex21c5ea7e00

145054400000 has 120 divisors (see below), whose sum is σ = 362262673080. Its totient is φ = 58021120000.

The previous prime is 145054399981. The next prime is 145054400003. The reversal of 145054400000 is 4450541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145054400003) 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 11 ways as a sum of consecutive naturals, for example, 1554671 + ... + 1645329.

It is an arithmetic number, because the mean of its divisors is an integer number (3018855609).

Almost surely, 2145054400000 is an apocalyptic number.

145054400000 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 145054400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181131336540).

145054400000 is an abundant number, since it is smaller than the sum of its proper divisors (217208273080).

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

145054400000 is an frugal number, since it uses more digits than its factorization.

145054400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90702 (or 90666 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

Adding to 145054400000 its reverse (4450541), we get a palindrome (145058850541).

The spelling of 145054400000 in words is "one hundred forty-five billion, fifty-four million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 6250 6400 8000 10000 12500 12800 16000 20000 25000 32000 40000 50000 64000 80000 90659 100000 160000 181318 200000 320000 362636 400000 453295 725272 800000 906590 1450544 1600000 1813180 2266475 2901088 3626360 4532950 5802176 7252720 9065900 11332375 11604352 14505440 18131800 22664750 23208704 29010880 36263600 45329500 46417408 56661875 58021760 72527200 90659000 113323750 116043520 145054400 181318000 226647500 232087040 283309375 290108800 362636000 453295000 566618750 580217600 725272000 906590000 1133237500 1160435200 1450544000 1813180000 2266475000 2901088000 3626360000 4532950000 5802176000 7252720000 9065900000 14505440000 18131800000 29010880000 36263600000 72527200000 145054400000