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115141250224 = 247111318139719
BaseRepresentation
bin110101100111011110…
…1000000110010110000
3102000012101120112211001
41223032331000302300
53341302130001344
6124521204331344
711214210323110
oct1531675006260
9360171515731
10115141250224
1144916263540
121a3946a3b54
13ab1c6b2bc0
145803d33040
152edd650ed4
hex1acef40cb0

115141250224 has 160 divisors (see below), whose sum is σ = 301190722560. Its totient is φ = 41179622400.

The previous prime is 115141250201. The next prime is 115141250251. The reversal of 115141250224 is 422052141511.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 115141250192 and 115141250201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2879037 + ... + 2918755.

It is an arithmetic number, because the mean of its divisors is an integer number (1882442016).

Almost surely, 2115141250224 is an apocalyptic number.

115141250224 is a gapful number since it is divisible by the number (14) 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 115141250224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150595361280).

115141250224 is an abundant number, since it is smaller than the sum of its proper divisors (186049472336).

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

115141250224 is a wasteful number, since it uses less digits than its factorization.

115141250224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39939 (or 39933 counting only the distinct ones).

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

Adding to 115141250224 its reverse (422052141511), we get a palindrome (537193391735).

The spelling of 115141250224 in words is "one hundred fifteen billion, one hundred forty-one million, two hundred fifty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 181 182 208 286 308 362 364 572 616 724 728 1001 1144 1232 1267 1448 1456 1991 2002 2288 2353 2534 2896 3982 4004 4706 5068 7964 8008 9412 10136 13937 15928 16016 16471 18824 20272 25883 27874 31856 32942 37648 39719 51766 55748 65884 79438 103532 111496 131768 158876 181181 207064 222992 263536 278033 317752 362362 414128 436909 516347 556066 635504 724724 873818 1032694 1112132 1449448 1747636 2065388 2224264 2898896 3058363 3495272 3614429 4130776 4448528 5679817 6116726 6990544 7189139 7228858 8261552 11359634 12233452 14378278 14457716 22719268 24466904 28756556 28915432 39758719 45438536 48933808 50323973 57513112 57830864 79080529 79517438 90877072 93458807 100647946 115026224 158161058 159034876 186917614 201295892 316322116 318069752 373835228 402591784 553563703 632644232 636139504 654211649 747670456 805183568 1028046877 1107127406 1265288464 1308423298 1495340912 2056093754 2214254812 2616846596 4112187508 4428509624 5233693192 7196328139 8224375016 8857019248 10467386384 14392656278 16448750032 28785312556 57570625112 115141250224