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500440520000 = 265429174289
BaseRepresentation
bin1110100100001001001…
…01000101010101000000
31202211201120010110002002
413102010211011111000
531144400233120000
61021522121043132
751104245143251
oct7220445052500
91684646113062
10500440520000
11183265699713
1280ba46264a8
13382644a87b5
141a315934b28
15d03e64c8d5
hex7484945540

500440520000 has 140 divisors (see below), whose sum is σ = 1241644687140. Its totient is φ = 200060928000.

The previous prime is 500440519991. The next prime is 500440520093. The reversal of 500440520000 is 25044005.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 84993239296 + 415447280704 = 291536^2 + 644552^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 116677856 + ... + 116682144.

Almost surely, 2500440520000 is an apocalyptic number.

500440520000 is a gapful number since it is divisible by the number (50) 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 500440520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620822343570).

500440520000 is an abundant number, since it is smaller than the sum of its proper divisors (741204167140).

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

500440520000 is an equidigital number, since it uses as much as digits as its factorization.

500440520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7238 (or 7213 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

Adding to 500440520000 its reverse (25044005), we get a palindrome (500465564005).

The spelling of 500440520000 in words is "five hundred billion, four hundred forty million, five hundred twenty 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 2917 4000 4289 5000 5834 8000 8578 10000 11668 14585 17156 20000 21445 23336 29170 34312 40000 42890 46672 58340 68624 72925 85780 93344 107225 116680 137248 145850 171560 186688 214450 233360 274496 291700 343120 364625 428900 466720 536125 583400 686240 729250 857800 933440 1072250 1166800 1372480 1458500 1715600 1823125 2144500 2333600 2680625 2917000 3431200 3646250 4289000 4667200 5361250 5834000 6862400 7292500 8578000 10722500 11668000 12511013 14585000 17156000 21445000 23336000 25022026 29170000 34312000 42890000 50044052 58340000 62555065 85780000 100088104 116680000 125110130 171560000 200176208 250220260 312775325 400352416 500440520 625550650 800704832 1000881040 1251101300 1563876625 2001762080 2502202600 3127753250 4003524160 5004405200 6255506500 7819383125 10008810400 12511013000 15638766250 20017620800 25022026000 31277532500 50044052000 62555065000 100088104000 125110130000 250220260000 500440520000