Search a number
-
+
31424303244200 = 2352612575762561
BaseRepresentation
bin1110010010100100010100…
…11011101010001110101000
311010021010121201112021111112
413021102022123222032220
513104323433112303300
6150500043044445452
76422221346250506
oct711221233521650
9133233551467445
1031424303244200
11a015a76a51429
1236362a76a9888
13146c3b7107a99
147a8d315ab676
15397641879e35
hex1c948a6ea3a8

31424303244200 has 48 divisors (see below), whose sum is σ = 74259234662460. Its totient is φ = 12363660288000.

The previous prime is 31424303244179. The next prime is 31424303244209. The reversal of 31424303244200 is 244230342413.

It can be written as a sum of positive squares in 6 ways, for example, as 6170683255396 + 25253619988804 = 2484086^2 + 5025298^2 .

It is not an unprimeable number, because it can be changed into a prime (31424303244209) 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, 1287869081 + ... + 1287893480.

Almost surely, 231424303244200 is an apocalyptic number.

It is an amenable number.

31424303244200 is an abundant number, since it is smaller than the sum of its proper divisors (42834931418260).

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

31424303244200 is a wasteful number, since it uses less digits than its factorization.

31424303244200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575762638 (or 2575762629 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 31424303244200 its reverse (244230342413), we get a palindrome (31668533586613).

The spelling of 31424303244200 in words is "thirty-one trillion, four hundred twenty-four billion, three hundred three million, two hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1220 1525 2440 3050 6100 12200 2575762561 5151525122 10303050244 12878812805 20606100488 25757625610 51515251220 64394064025 103030502440 128788128050 157121516221 257576256100 314243032442 515152512200 628486064884 785607581105 1256972129768 1571215162210 3142430324420 3928037905525 6284860648840 7856075811050 15712151622100 31424303244200