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115441201315242 = 23211313934665341
BaseRepresentation
bin11010001111111000111111…
…110010111111110110101010
3120010202001220210202221201200
4122033320333302333312222
5110112342040014041432
61045304542235425030
733213231404550435
oct3217707762776652
9503661823687650
10115441201315242
113386837a662000
1210b453408b5176
134c5509b8bb31a
14207155380a81c
15d52d55a0ea7c
hex68fe3fcbfdaa

115441201315242 has 96 divisors (see below), whose sum is σ = 277095331356480. Its totient is φ = 34730510839200.

The previous prime is 115441201315199. The next prime is 115441201315267. The reversal of 115441201315242 is 242513102144511.

115441201315242 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 4 + 120 + 1 + 3 + 1 + 524 + 2 = 666.

It is a super-2 number, since 2×1154412013152422 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 115441201315197 and 115441201315206.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14002509 + ... + 20662832.

It is an arithmetic number, because the mean of its divisors is an integer number (2886409701630).

Almost surely, 2115441201315242 is an apocalyptic number.

115441201315242 is an abundant number, since it is smaller than the sum of its proper divisors (161654130041238).

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

115441201315242 is a wasteful number, since it uses less digits than its factorization.

115441201315242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34665521 (or 34665496 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 115441201315242 its reverse (242513102144511), we get a palindrome (357954303459753).

The spelling of 115441201315242 in words is "one hundred fifteen trillion, four hundred forty-one billion, two hundred one million, three hundred fifteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 139 198 242 278 363 417 726 834 1089 1251 1331 1529 2178 2502 2662 3058 3993 4587 7986 9174 11979 13761 16819 23958 27522 33638 50457 100914 151371 185009 302742 370018 555027 1110054 1665081 3330162 34665341 69330682 103996023 207992046 311988069 381318751 623976138 762637502 1143956253 2287912506 3431868759 4194506261 4818482399 6863737518 8389012522 9636964798 12583518783 14455447197 25167037566 28910894394 37750556349 43366341591 46139568871 53003306389 75501112698 86732683182 92279137742 106006612778 138418706613 159009919167 276837413226 318019838334 415256119839 477029757501 583036370279 830512239678 954059515002 1166072740558 1749109110837 3498218221674 5247327332511 6413400073069 10494654665022 12826800146138 19240200219207 38480400438414 57720600657621 115441201315242