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31424434420 = 22541113339137
BaseRepresentation
bin11101010001000010…
…101101000011110100
310000010000121200001111
4131101002231003310
51003324123400140
622234114404404
72161504166611
oct352102550364
9100100550044
1031424434420
1112366301765
12610bb90704
132c6a51a4c2
1417416bb508
15c3dbe87ea
hex7510ad0f4

31424434420 has 48 divisors (see below), whose sum is σ = 68199295248. Its totient is φ = 12154634240.

The previous prime is 31424434417. The next prime is 31424434453. The reversal of 31424434420 is 2443442413.

It can be written as a sum of positive squares in 8 ways, for example, as 7249160164 + 24175274256 = 85142^2 + 155484^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76909 + ... + 262228.

It is an arithmetic number, because the mean of its divisors is an integer number (1420818651).

Almost surely, 231424434420 is an apocalyptic number.

It is an amenable number.

31424434420 is an abundant number, since it is smaller than the sum of its proper divisors (36774860828).

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

31424434420 is a wasteful number, since it uses less digits than its factorization.

31424434420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339300 (or 339298 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 31424434420 its reverse (2443442413), we get a palindrome (33867876833).

The spelling of 31424434420 in words is "thirty-one billion, four hundred twenty-four million, four hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 113 164 205 226 410 452 565 820 1130 2260 4633 9266 18532 23165 46330 92660 339137 678274 1356548 1695685 3391370 6782740 13904617 27809234 38322481 55618468 69523085 76644962 139046170 153289924 191612405 278092340 383224810 766449620 1571221721 3142443442 6284886884 7856108605 15712217210 31424434420