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242251315344 = 243212713246463
BaseRepresentation
bin1110000110011101001…
…1011011100010010000
3212011021220120220001200
43201213103123202100
512432112314042334
6303142210231200
723334133130253
oct3414723334220
9764256526050
10242251315344
1193813608835
123ab49585500
1319ac892c09c
14ba2168709a
15647c912799
hex38674db890

242251315344 has 60 divisors (see below), whose sum is σ = 683305598976. Its totient is φ = 80114602176.

The previous prime is 242251315343. The next prime is 242251315349. The reversal of 242251315344 is 443513152242.

It is a happy number.

242251315344 is a `hidden beast` number, since 2 + 42 + 2 + 51 + 31 + 534 + 4 = 666.

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 = 242251315299 and 242251315308.

It is not an unprimeable number, because it can be changed into a prime (242251315343) 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, 6604944 + ... + 6641519.

Almost surely, 2242251315344 is an apocalyptic number.

242251315344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242251315344 is an abundant number, since it is smaller than the sum of its proper divisors (441054283632).

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

242251315344 is a wasteful number, since it uses less digits than its factorization.

242251315344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13246604 (or 13246595 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

Adding to 242251315344 its reverse (443513152242), we get a palindrome (685764467586).

The spelling of 242251315344 in words is "two hundred forty-two billion, two hundred fifty-one million, three hundred fifteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 127 144 254 381 508 762 1016 1143 1524 2032 2286 3048 4572 6096 9144 18288 13246463 26492926 39739389 52985852 79478778 105971704 119218167 158957556 211943408 238436334 317915112 476872668 635830224 953745336 1682300801 1907490672 3364601602 5046902403 6729203204 10093804806 13458406408 15140707209 20187609612 26916812816 30281414418 40375219224 60562828836 80750438448 121125657672 242251315344