Search a number
-
+
31142204320 = 2551371420721
BaseRepresentation
bin11101000000001110…
…000101001110100000
32222101100112220010211
4131000032011032200
51002234401014240
622150113303504
72151506240413
oct350016051640
988340486124
1031142204320
1112230a65047
126051564b94
132c23c01a46
141716011b7a
15c24049bea
hex7403853a0

31142204320 has 48 divisors (see below), whose sum is σ = 74110542408. Its totient is φ = 12365946880.

The previous prime is 31142204299. The next prime is 31142204329. The reversal of 31142204320 is 2340224113.

It can be written as a sum of positive squares in 4 ways, for example, as 27730242576 + 3411961744 = 166524^2 + 58412^2 .

It is a junction number, because it is equal to n+sod(n) for n = 31142204291 and 31142204300.

It is not an unprimeable number, because it can be changed into a prime (31142204329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 688441 + ... + 732280.

Almost surely, 231142204320 is an apocalyptic number.

It is an amenable number.

31142204320 is an abundant number, since it is smaller than the sum of its proper divisors (42968338088).

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

31142204320 is a wasteful number, since it uses less digits than its factorization.

31142204320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420873 (or 1420865 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 31142204320 its reverse (2340224113), we get a palindrome (33482428433).

The spelling of 31142204320 in words is "thirty-one billion, one hundred forty-two million, two hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 137 160 274 548 685 1096 1370 2192 2740 4384 5480 10960 21920 1420721 2841442 5682884 7103605 11365768 14207210 22731536 28414420 45463072 56828840 113657680 194638777 227315360 389277554 778555108 973193885 1557110216 1946387770 3114220432 3892775540 6228440864 7785551080 15571102160 31142204320