Search a number
-
+
31424341230 = 2345349111113
BaseRepresentation
bin11101010001000010…
…010110010011101110
310000010000102221020000
4131101002112103232
51003324112404410
622234112405130
72161503331122
oct352102262356
9100100387200
1031424341230
1112366248747
12610bb467a6
132c6a4b6c69
141741695582
15c3dbcadc0
hex7510964ee

31424341230 has 80 divisors (see below), whose sum is σ = 84528371664. Its totient is φ = 8376670080.

The previous prime is 31424341213. The next prime is 31424341259. The reversal of 31424341230 is 3214342413.

31424341230 is a `hidden beast` number, since 3 + 1 + 4 + 243 + 412 + 3 + 0 = 666.

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 = 31424341194 and 31424341203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2822154 + ... + 2833266.

Almost surely, 231424341230 is an apocalyptic number.

31424341230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31424341230 is an abundant number, since it is smaller than the sum of its proper divisors (53104030434).

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

31424341230 is a wasteful number, since it uses less digits than its factorization.

31424341230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14623 (or 14614 counting only the distinct ones).

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

Adding to 31424341230 its reverse (3214342413), we get a palindrome (34638683643).

The spelling of 31424341230 in words is "thirty-one billion, four hundred twenty-four million, three hundred forty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 3491 6982 10473 11113 17455 20946 22226 31419 33339 34910 52365 55565 62838 66678 94257 100017 104730 111130 157095 166695 188514 200034 282771 300051 314190 333390 471285 500085 565542 600102 900153 942570 1000170 1413855 1500255 1800306 2827710 3000510 4500765 9001530 38795483 77590966 116386449 193977415 232772898 349159347 387954830 581932245 698318694 1047478041 1163864490 1745796735 2094956082 3142434123 3491593470 5237390205 6284868246 10474780410 15712170615 31424341230