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4531150040000 = 2654523321647
BaseRepresentation
bin100000111101111110110…
…0101101010101111000000
3121001011200122012101211212
41001323331211222233000
51043214243402240000
613345325342425252
7645236056566563
oct101737545525700
917034618171755
104531150040000
111497717086181
12612200b92228
1326b39365c92c
141194476144da
157cceb684c35
hex41efd96abc0

4531150040000 has 140 divisors (see below), whose sum is σ = 11238445721184. Its totient is φ = 1812029952000.

The previous prime is 4531150039979. The next prime is 4531150040029. The reversal of 4531150040000 is 400511354.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 209309177 + ... + 209330823.

Almost surely, 24531150040000 is an apocalyptic number.

4531150040000 is a gapful number since it is divisible by the number (40) 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 4531150040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5619222860592).

4531150040000 is an abundant number, since it is smaller than the sum of its proper divisors (6707295681184).

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

4531150040000 is an equidigital number, since it uses as much as digits as its factorization.

4531150040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26912 (or 26887 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 4531150040000 its reverse (400511354), we get a palindrome (4531550551354).

The spelling of 4531150040000 in words is "four trillion, five hundred thirty-one billion, one hundred fifty million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 5233 8000 10000 10466 20000 20932 21647 26165 40000 41864 43294 52330 83728 86588 104660 108235 130825 167456 173176 209320 216470 261650 334912 346352 418640 432940 523300 541175 654125 692704 837280 865880 1046600 1082350 1308250 1385408 1674560 1731760 2093200 2164700 2616500 2705875 3270625 3463520 4186400 4329400 5233000 5411750 6541250 6927040 8372800 8658800 10466000 10823500 13082500 13529375 17317600 20932000 21647000 26165000 27058750 34635200 41864000 43294000 52330000 54117500 86588000 104660000 108235000 113278751 173176000 209320000 216470000 226557502 432940000 453115004 566393755 865880000 906230008 1132787510 1812460016 2265575020 2831968775 3624920032 4531150040 5663937550 7249840064 9062300080 11327875100 14159843875 18124600160 22655750200 28319687750 36249200320 45311500400 56639375500 70799219375 90623000800 113278751000 141598438750 181246001600 226557502000 283196877500 453115004000 566393755000 906230008000 1132787510000 2265575020000 4531150040000