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115240115440 = 24517607139597
BaseRepresentation
bin110101101010011011…
…0001001110011110000
3102000110021121102101201
41223110312021303300
53342002432143230
6124535055340544
711216520550642
oct1532466116360
9360407542351
10115240115440
114496704a42a
121a401821754
13ab3701a028
14581310a892
152ee717e5ca
hex1ad4d89cf0

115240115440 has 80 divisors (see below), whose sum is σ = 284163455232. Its totient is φ = 43312730112.

The previous prime is 115240115411. The next prime is 115240115461. The reversal of 115240115440 is 44511042511.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 115240115399 and 115240115408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 755722 + ... + 895318.

Almost surely, 2115240115440 is an apocalyptic number.

115240115440 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 115240115440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142081727616).

115240115440 is an abundant number, since it is smaller than the sum of its proper divisors (168923339792).

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

115240115440 is a wasteful number, since it uses less digits than its factorization.

115240115440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140234 (or 140228 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

Adding to 115240115440 its reverse (44511042511), we get a palindrome (159751157951).

The spelling of 115240115440 in words is "one hundred fifteen billion, two hundred forty million, one hundred fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 607 680 1214 1360 2428 3035 4856 6070 9712 10319 12140 20638 24280 41276 48560 51595 82552 103190 139597 165104 206380 279194 412760 558388 697985 825520 1116776 1395970 2233552 2373149 2791940 4746298 5583880 9492596 11167760 11865745 18985192 23731490 37970384 47462980 84735379 94925960 169470758 189851920 338941516 423676895 677883032 847353790 1355766064 1440501443 1694707580 2881002886 3389415160 5762005772 6778830320 7202507215 11524011544 14405014430 23048023088 28810028860 57620057720 115240115440