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115520040400 = 24524743913997
BaseRepresentation
bin110101110010110000…
…1111110110111010000
3102001011210100002020211
41223211201332313100
53343041112243100
6125022535213504
711226460066462
oct1534541766720
9361153302224
10115520040400
1144aa0062176
121a47b517294
13ab800094bb
14583c376132
153011a251ba
hex1ae587edd0

115520040400 has 120 divisors (see below), whose sum is σ = 284107887360. Its totient is φ = 45118625280.

The previous prime is 115520040397. The next prime is 115520040403. The reversal of 115520040400 is 4040025511.

It is an interprime number because it is at equal distance from previous prime (115520040397) and next prime (115520040403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115520040403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8246202 + ... + 8260198.

It is an arithmetic number, because the mean of its divisors is an integer number (2367565728).

Almost surely, 2115520040400 is an apocalyptic number.

115520040400 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 115520040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142053943680).

115520040400 is an abundant number, since it is smaller than the sum of its proper divisors (168587846960).

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

115520040400 is a wasteful number, since it uses less digits than its factorization.

115520040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14501 (or 14490 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 115520040400 its reverse (4040025511), we get a palindrome (119560065911).

The spelling of 115520040400 in words is "one hundred fifteen billion, five hundred twenty million, forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 188 200 235 376 400 439 470 752 878 940 1175 1756 1880 2195 2350 3512 3760 4390 4700 7024 8780 9400 10975 13997 17560 18800 20633 21950 27994 35120 41266 43900 55988 69985 82532 87800 103165 111976 139970 165064 175600 206330 223952 279940 330128 349925 412660 515825 559880 657859 699850 825320 1031650 1119760 1315718 1399700 1650640 2063300 2631436 2799400 3289295 4126600 5262872 5598800 6144683 6578590 8253200 10525744 12289366 13157180 16446475 24578732 26314360 30723415 32892950 49157464 52628720 61446830 65785900 98314928 122893660 131571800 153617075 245787320 263143600 288800101 307234150 491574640 577600202 614468300 1155200404 1228936600 1444000505 2310400808 2457873200 2888001010 4620801616 5776002020 7220002525 11552004040 14440005050 23104008080 28880010100 57760020200 115520040400