Search a number
-
+
31434042300 = 22352463226307
BaseRepresentation
bin11101010001100111…
…010110101110111100
310000010200200210120220
4131101213112232330
51003334103323200
622235100341340
72161651644123
oct352147265674
9100120623526
1031434042300
1112370774261
126113244850
132c6c50273b
141742a9caba
15c3e9954a0
hex7519d6bbc

31434042300 has 72 divisors (see below), whose sum is σ = 91145999616. Its totient is φ = 8364269760.

The previous prime is 31434042259. The next prime is 31434042407. The reversal of 31434042300 is 324043413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25747 + ... + 252053.

Almost surely, 231434042300 is an apocalyptic number.

31434042300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31434042300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45572999808).

31434042300 is an abundant number, since it is smaller than the sum of its proper divisors (59711957316).

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

31434042300 is a wasteful number, since it uses less digits than its factorization.

31434042300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226787 (or 226780 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 31434042300 its reverse (324043413), we get a palindrome (31758085713).

The spelling of 31434042300 in words is "thirty-one billion, four hundred thirty-four million, forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 463 926 1389 1852 2315 2778 4630 5556 6945 9260 11575 13890 23150 27780 34725 46300 69450 138900 226307 452614 678921 905228 1131535 1357842 2263070 2715684 3394605 4526140 5657675 6789210 11315350 13578420 16973025 22630700 33946050 67892100 104780141 209560282 314340423 419120564 523900705 628680846 1047801410 1257361692 1571702115 2095602820 2619503525 3143404230 5239007050 6286808460 7858510575 10478014100 15717021150 31434042300