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145543234400 = 2552859921157
BaseRepresentation
bin1000011110001100001…
…1011000001101100000
3111220200011021100210222
42013203003120031200
54341033032000100
6150510040342212
713341461036354
oct2074303301540
9456604240728
10145543234400
11567a73a81a3
122425a174968
1310956132755
1470898db464
153bbc6d1485
hex21e30d8360

145543234400 has 72 divisors (see below), whose sum is σ = 355365536400. Its totient is φ = 58207772160.

The previous prime is 145543234387. The next prime is 145543234429. The reversal of 145543234400 is 4432345541.

145543234400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1455432344002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6868622 + ... + 6889778.

It is an arithmetic number, because the mean of its divisors is an integer number (4935632450).

Almost surely, 2145543234400 is an apocalyptic number.

145543234400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145543234400 is an abundant number, since it is smaller than the sum of its proper divisors (209822302000).

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

145543234400 is a wasteful number, since it uses less digits than its factorization.

145543234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29776 (or 29763 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 145543234400 its reverse (4432345541), we get a palindrome (149975579941).

The spelling of 145543234400 in words is "one hundred forty-five billion, five hundred forty-three million, two hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 8599 17198 21157 34396 42314 42995 68792 84628 85990 105785 137584 169256 171980 211570 214975 275168 338512 343960 423140 429950 528925 677024 687920 846280 859900 1057850 1375840 1692560 1719800 2115700 3385120 3439600 4231400 6879200 8462800 16925600 181929043 363858086 727716172 909645215 1455432344 1819290430 2910864688 3638580860 4548226075 5821729376 7277161720 9096452150 14554323440 18192904300 29108646880 36385808600 72771617200 145543234400