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13154306140242 = 23219673267121397
BaseRepresentation
bin1011111101101011100110…
…1111101010100001010010
31201120112120012201122001200
42333122321233222201102
53211010004332441432
643551001012412030
72525236653221361
oct277327157524122
951515505648050
1013154306140242
11421178997a833
121585486617016
137455a43c6b47
1433695965b7d8
1517c29130ea7c
hexbf6b9bea852

13154306140242 has 96 divisors (see below), whose sum is σ = 30058280728320. Its totient is φ = 4146072376320.

The previous prime is 13154306140231. The next prime is 13154306140301. The reversal of 13154306140242 is 24204160345131.

13154306140242 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 4 + 30 + 614 + 0 + 2 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13154306140197 and 13154306140206.

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, 614762688 + ... + 614784084.

It is an arithmetic number, because the mean of its divisors is an integer number (313107090920).

Almost surely, 213154306140242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13154306140242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15029140364160).

13154306140242 is an abundant number, since it is smaller than the sum of its proper divisors (16903974588078).

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

13154306140242 is a wasteful number, since it uses less digits than its factorization.

13154306140242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24768 (or 24765 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 13154306140242 its reverse (24204160345131), we get a palindrome (37358466485373).

The spelling of 13154306140242 in words is "thirteen trillion, one hundred fifty-four billion, three hundred six million, one hundred forty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 673 1346 2019 2671 4038 5342 6057 8013 12114 12787 16026 21397 24039 25574 38361 42794 48078 50749 64191 76722 101498 115083 128382 152247 192573 230166 304494 385146 406543 456741 813086 913482 1219629 1797583 2439258 3595166 3658887 5392749 7317774 10785498 14400181 16178247 28800362 32356494 34154077 43200543 57151387 68308154 86401086 102462231 114302774 129601629 171454161 204924462 259203258 273603439 307386693 342908322 514362483 547206878 614773386 820810317 1028724966 1085876353 1641620634 2171752706 2462430951 3257629059 4924861902 6515258118 9772887177 19545774354 38462883451 76925766902 115388650353 230777300706 346165951059 692331902118 730794785569 1461589571138 2192384356707 4384768713414 6577153070121 13154306140242