Search a number
-
+
31434142240 = 255391950131
BaseRepresentation
bin11101010001100111…
…101111001000100000
310000010200212212200101
4131101213233020200
51003334120022430
622235102432144
72161652541364
oct352147571040
9100120785611
1031434142240
1112370832356
126113292654
132c6c539087
141742ac72a4
15c3e9b4dca
hex7519ef220

31434142240 has 48 divisors (see below), whose sum is σ = 74283592320. Its totient is φ = 12570197760.

The previous prime is 31434142211. The next prime is 31434142261. The reversal of 31434142240 is 4224143413.

It is a junction number, because it is equal to n+sod(n) for n = 31434142199 and 31434142208.

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 7 ways as a sum of consecutive naturals, for example, 601975 + ... + 652105.

It is an arithmetic number, because the mean of its divisors is an integer number (1547574840).

Almost surely, 231434142240 is an apocalyptic number.

It is an amenable number.

31434142240 is an abundant number, since it is smaller than the sum of its proper divisors (42849450080).

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

31434142240 is a wasteful number, since it uses less digits than its factorization.

31434142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54065 (or 54057 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 31434142240 its reverse (4224143413), we get a palindrome (35658285653).

The spelling of 31434142240 in words is "thirty-one billion, four hundred thirty-four million, one hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 3919 7838 15676 19595 31352 39190 50131 62704 78380 100262 125408 156760 200524 250655 313520 401048 501310 627040 802096 1002620 1604192 2005240 4010480 8020960 196463389 392926778 785853556 982316945 1571707112 1964633890 3143414224 3929267780 6286828448 7858535560 15717071120 31434142240