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115341335422452 = 223237837591137437
BaseRepresentation
bin11010001110011011111111…
…010100110110010111110100
3120010101112010222110221222200
4122032123333110312113310
5110104223023332004302
61045151024503024500
733203064546510156
oct3216337724662764
9503345128427880
10115341335422452
1133829a929a3707
1210b29b0ba3b130
134c48844b04979
14206a79c4d8ad6
15d5045d46581c
hex68e6ff5365f4

115341335422452 has 144 divisors (see below), whose sum is σ = 303086994467712. Its totient is φ = 36952164437760.

The previous prime is 115341335422447. The next prime is 115341335422463. The reversal of 115341335422452 is 254224533143511.

115341335422452 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 4 + 1 + 33 + 542 + 24 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 115341335422398 and 115341335422407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 839161878 + ... + 839299314.

Almost surely, 2115341335422452 is an apocalyptic number.

115341335422452 is a gapful number since it is divisible by the number (12) 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 115341335422452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151543497233856).

115341335422452 is an abundant number, since it is smaller than the sum of its proper divisors (187745659045260).

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

115341335422452 is a wasteful number, since it uses less digits than its factorization.

115341335422452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145158 (or 145153 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

Adding to 115341335422452 its reverse (254224533143511), we get a palindrome (369565868565963).

The spelling of 115341335422452 in words is "one hundred fifteen trillion, three hundred forty-one billion, three hundred thirty-five million, four hundred twenty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 83 111 148 166 222 249 332 333 444 498 666 747 996 1332 1494 2988 3071 6142 7591 9213 12284 15182 18426 22773 27639 30364 36852 45546 55278 68319 91092 110556 136638 137437 273276 274874 280867 412311 549748 561734 630053 824622 842601 1123468 1236933 1260106 1649244 1685202 1890159 2473866 2520212 2527803 3370404 3780318 4947732 5055606 5085169 5670477 7560636 10111212 10170338 11340954 11407271 15255507 20340676 22681908 22814542 23311961 30511014 34221813 45629084 45766521 46623922 61022028 68443626 69935883 91533042 93247844 102665439 136887252 139871766 183066084 205330878 209807649 279743532 410661756 419615298 422069027 839230596 844138054 1043284267 1266207081 1688276108 2086568534 2532414162 3129852801 3798621243 4173137068 5064828324 6259705602 7597242486 9389558403 12519411204 15194484972 18779116806 37558233612 38601517879 77203035758 86592594161 115804553637 154406071516 173185188322 231609107274 259777782483 346370376644 347413660911 463218214548 519555564966 694827321822 779333347449 1039111129932 1389654643644 1558666694898 3117333389796 3203925983957 6407851967914 9611777951871 12815703935828 19223555903742 28835333855613 38447111807484 57670667711226 115341335422452