Search a number
-
+
31024211344 = 247793599767
BaseRepresentation
bin11100111001001011…
…111110010110010000
32222002010112020012121
4130321023332112100
51002014144230334
622130300304024
72145544305520
oct347113762620
988063466177
1031024211344
11121803a4195
126019b42014
132c0562b509
141704499680
15c189dddb4
hex7392fe590

31024211344 has 80 divisors (see below), whose sum is σ = 69766963200. Its totient is φ = 13089877632.

The previous prime is 31024211327. The next prime is 31024211401. The reversal of 31024211344 is 44311242013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3171549 + ... + 3181315.

It is an arithmetic number, because the mean of its divisors is an integer number (872087040).

Almost surely, 231024211344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31024211344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34883481600).

31024211344 is an abundant number, since it is smaller than the sum of its proper divisors (38742751856).

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

31024211344 is a wasteful number, since it uses less digits than its factorization.

31024211344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10220 (or 10214 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 31024211344 its reverse (44311242013), we get a palindrome (75335453357).

The spelling of 31024211344 in words is "thirty-one billion, twenty-four million, two hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 79 112 158 316 359 553 632 718 1106 1264 1436 2212 2513 2872 4424 5026 5744 8848 9767 10052 19534 20104 28361 39068 40208 56722 68369 78136 113444 136738 156272 198527 226888 273476 397054 453776 546952 771593 794108 1093904 1543186 1588216 3086372 3176432 3506353 5401151 6172744 7012706 10802302 12345488 14025412 21604604 24544471 28050824 43209208 49088942 56101648 86418416 98177884 196355768 277001887 392711536 554003774 1108007548 1939013209 2216015096 3878026418 4432030192 7756052836 15512105672 31024211344