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115231214343440 = 24513467607390869
BaseRepresentation
bin11010001100110101011011…
…100110010001010100010000
3120002222222220110020112102202
4122030311123212101110100
5110100422011332442230
61045024253350102332
733162115625002526
oct3214653346212420
9502888813215382
10115231214343440
11337973134750a8
1210b106b864a9a8
134c3b3454c39a0
1420653131d8316
15d4c665902a45
hex68cd5b991510

115231214343440 has 160 divisors (see below), whose sum is σ = 289616133381120. Its totient is φ = 42385750935552.

The previous prime is 115231214343419. The next prime is 115231214343449. The reversal of 115231214343440 is 44343412132511.

It is a junction number, because it is equal to n+sod(n) for n = 115231214343394 and 115231214343403.

It is not an unprimeable number, because it can be changed into a prime (115231214343449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294612326 + ... + 295003194.

It is an arithmetic number, because the mean of its divisors is an integer number (1810100833632).

Almost surely, 2115231214343440 is an apocalyptic number.

115231214343440 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 115231214343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144808066690560).

115231214343440 is an abundant number, since it is smaller than the sum of its proper divisors (174384919037680).

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

115231214343440 is a wasteful number, since it uses less digits than its factorization.

115231214343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391969 (or 391963 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

Adding to 115231214343440 its reverse (44343412132511), we get a palindrome (159574626475951).

The spelling of 115231214343440 in words is "one hundred fifteen trillion, two hundred thirty-one billion, two hundred fourteen million, three hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 467 520 607 934 1040 1214 1868 2335 2428 3035 3736 4670 4856 6070 6071 7472 7891 9340 9712 12140 12142 15782 18680 24280 24284 30355 31564 37360 39455 48560 48568 60710 63128 78910 97136 121420 126256 157820 242840 283469 315640 390869 485680 566938 631280 781738 1133876 1417345 1563476 1954345 2267752 2834690 3126952 3685097 3908690 4535504 5081297 5669380 6253904 7370194 7817380 10162594 11338760 14740388 15634760 18425485 20325188 22677520 25406485 29480776 31269520 36850970 40650376 50812970 58961552 73701940 81300752 101625940 147403880 182535823 203251880 237257483 294807760 365071646 406503760 474514966 730143292 912679115 949029932 1186287415 1460286584 1825358230 1898059864 2372574830 2372965699 2920573168 3084347279 3650716460 3796119728 4745149660 4745931398 6168694558 7301432920 9490299320 9491862796 11864828495 12337389116 14602865840 15421736395 18980598640 18983725592 23729656990 24674778232 30843472790 37967451184 47459313980 49349556464 61686945580 94918627960 110799244561 123373891160 189837255920 221598489122 246747782320 443196978244 553996222805 886393956488 1107992445610 1440390179293 1772787912976 2215984891220 2880780358586 4431969782440 5761560717172 7201950896465 8863939564880 11523121434344 14403901792930 23046242868688 28807803585860 57615607171720 115231214343440