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424342130130 = 2365169734301
BaseRepresentation
bin1100010110011001100…
…00110000110111010010
31111120022010120201000000
412023030300300313102
523423023041131010
6522535020310430
742441410410302
oct6131460606722
91446263521000
10424342130130
11153a65085016
126a2a73a2416
1331027796739
141677701b602
15b08896b7c0
hex62ccc30dd2

424342130130 has 112 divisors (see below), whose sum is σ = 1145908116504. Its totient is φ = 113087923200.

The previous prime is 424342130117. The next prime is 424342130131. The reversal of 424342130130 is 31031243424.

424342130130 is a `hidden beast` number, since 4 + 2 + 434 + 213 + 0 + 13 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 356469896601 + 67872233529 = 597051^2 + 260523^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 424342130094 and 424342130103.

It is not an unprimeable number, because it can be changed into a prime (424342130131) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12353980 + ... + 12388280.

Almost surely, 2424342130130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424342130130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572954058252).

424342130130 is an abundant number, since it is smaller than the sum of its proper divisors (721565986374).

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

424342130130 is a wasteful number, since it uses less digits than its factorization.

424342130130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36023 (or 36008 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 424342130130 its reverse (31031243424), we get a palindrome (455373373554).

The spelling of 424342130130 in words is "four hundred twenty-four billion, three hundred forty-two million, one hundred thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1458 1697 2430 3394 3645 5091 7290 8485 10182 15273 16970 25455 30546 34301 45819 50910 68602 76365 91638 102903 137457 152730 171505 205806 229095 274914 308709 343010 412371 458190 514515 617418 687285 824742 926127 1029030 1237113 1374570 1543545 1852254 2061855 2474226 2778381 3087090 4123710 4630635 5556762 6185565 8335143 9261270 12371130 13891905 16670286 25005429 27783810 41675715 50010858 58208797 83351430 116417594 125027145 174626391 250054290 291043985 349252782 523879173 582087970 873131955 1047758346 1571637519 1746263910 2619395865 3143275038 4714912557 5238791730 7858187595 9429825114 14144737671 15716375190 23574562785 28289475342 42434213013 47149125570 70723688355 84868426026 141447376710 212171065065 424342130130