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115252544011040 = 2553756593440243
BaseRepresentation
bin11010001101001001010010…
…111100011111101100100000
3120010002000221221202220201122
4122031021102330133230200
5110101244202231323130
61045042142054551412
733163502324122412
oct3215112274375440
9503060857686648
10115252544011040
11337a5369515067
1210b1486b968568
134c403644c3187
142066377d249b2
15d4ceb326e2e5
hex68d252f1fb20

115252544011040 has 96 divisors (see below), whose sum is σ = 279692662858560. Its totient is φ = 44847104799744.

The previous prime is 115252544011009. The next prime is 115252544011051. The reversal of 115252544011040 is 40110445252511.

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 15 ways as a sum of consecutive naturals, for example, 31781159 + ... + 35221401.

It is an arithmetic number, because the mean of its divisors is an integer number (2913465238110).

Almost surely, 2115252544011040 is an apocalyptic number.

115252544011040 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 115252544011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139846331429280).

115252544011040 is an abundant number, since it is smaller than the sum of its proper divisors (164440118847520).

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

115252544011040 is a wasteful number, since it uses less digits than its factorization.

115252544011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3445954 (or 3445946 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 35.

Adding to 115252544011040 its reverse (40110445252511), we get a palindrome (155362989263551).

The spelling of 115252544011040 in words is "one hundred fifteen trillion, two hundred fifty-two billion, five hundred forty-four million, eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 5659 5920 11318 22636 28295 45272 56590 90544 113180 181088 209383 226360 418766 452720 837532 905440 1046915 1675064 2093830 3350128 3440243 4187660 6700256 6880486 8375320 13760972 16750640 17201215 27521944 33501280 34402430 55043888 68804860 110087776 127288991 137609720 254577982 275219440 509155964 550438880 636444955 1018311928 1272889910 2036623856 2545779820 4073247712 5091559640 10183119280 19468335137 20366238560 38936670274 77873340548 97341675685 155746681096 194683351370 311493362192 389366702740 622986724384 720328400069 778733405480 1440656800138 1557466810960 2881313600276 3114933621920 3601642000345 5762627200552 7203284000690 11525254401104 14406568001380 23050508802208 28813136002760 57626272005520 115252544011040