Search a number
-
+
113303422242144 = 2532657159871353
BaseRepresentation
bin11001110000110010000010…
…001111000000110101100000
3112212011200221022021222222100
4121300302002033000311200
5104322330402043222034
61040550512411010400
732602621266341541
oct3160620217006540
9485150838258870
10113303422242144
1133113791050362
121085ab66a39a00
134b2b60b9428c4
141dd9cb46964c8
15d17436cb3099
hex670c823c0d60

113303422242144 has 72 divisors (see below), whose sum is σ = 322255647021672. Its totient is φ = 37762059133440.

The previous prime is 113303422242137. The next prime is 113303422242149. The reversal of 113303422242144 is 441242224303311.

113303422242144 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 0 + 3 + 4 + 222 + 421 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 113303422242099 and 113303422242108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113303422242149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28043229 + ... + 31828124.

It is an arithmetic number, because the mean of its divisors is an integer number (4475772875301).

Almost surely, 2113303422242144 is an apocalyptic number.

It is an amenable number.

113303422242144 is an abundant number, since it is smaller than the sum of its proper divisors (208952224779528).

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

113303422242144 is a wasteful number, since it uses less digits than its factorization.

113303422242144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59877940 (or 59877929 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 113303422242144 its reverse (441242224303311), we get a palindrome (554545646545455).

The spelling of 113303422242144 in words is "one hundred thirteen trillion, three hundred three billion, four hundred twenty-two million, two hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 6571 13142 19713 26284 39426 52568 59139 78852 105136 118278 157704 210272 236556 315408 473112 630816 946224 1892448 59871353 119742706 179614059 239485412 359228118 478970824 538842177 718456236 957941648 1077684354 1436912472 1915883296 2155368708 2873824944 4310737416 5747649888 8621474832 17242949664 393414660563 786829321126 1180243981689 1573658642252 2360487963378 3147317284504 3540731945067 4720975926756 6294634569008 7081463890134 9441951853512 12589269138016 14162927780268 18883903707024 28325855560536 37767807414048 56651711121072 113303422242144