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31344441310 = 25713312394649
BaseRepresentation
bin11101001100010001…
…100011011111011110
32222220110002121010201
4131030101203133132
51003143134110220
622222140054114
72156513232550
oct351421433736
988813077121
1031344441310
1112325135756
1260a923433a
132c56a902c0
141734c174d0
15c36b96d0a
hex74c4637de

31344441310 has 128 divisors (see below), whose sum is σ = 71995392000. Its totient is φ = 9557775360.

The previous prime is 31344441281. The next prime is 31344441319. The reversal of 31344441310 is 1314444313.

It is a happy number.

It is a super-2 number, since 2×313444413102 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31344441319) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6739866 + ... + 6744514.

It is an arithmetic number, because the mean of its divisors is an integer number (562464000).

Almost surely, 231344441310 is an apocalyptic number.

31344441310 is an abundant number, since it is smaller than the sum of its proper divisors (40650950690).

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

31344441310 is a wasteful number, since it uses less digits than its factorization.

31344441310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4946.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 31344441310 its reverse (1314444313), we get a palindrome (32658885623).

It can be divided in two parts, 3134 and 4441310, that added together give a palindrome (4444444).

The spelling of 31344441310 in words is "thirty-one billion, three hundred forty-four million, four hundred forty-one thousand, three hundred ten".

Divisors: 1 2 5 7 10 13 14 26 31 35 62 65 70 91 130 155 182 217 239 310 403 434 455 478 806 910 1085 1195 1673 2015 2170 2390 2821 3107 3346 4030 4649 5642 6214 7409 8365 9298 14105 14818 15535 16730 21749 23245 28210 31070 32543 37045 43498 46490 51863 60437 65086 74090 96317 103726 108745 120874 144119 162715 192634 217490 259315 288238 302185 325430 423059 481585 518630 604370 674219 720595 846118 963170 1008833 1111111 1348438 1441190 1873547 2017666 2115295 2222222 3371095 3747094 4230590 5044165 5555555 6742190 7777777 9367735 10088330 11111110 13114829 14444443 15555554 18735470 26229658 28888886 34444441 38888885 65574145 68888882 72222215 77777770 101111101 131148290 144444430 172222205 202222202 241111087 344444410 447777733 482222174 505555505 895555466 1011111010 1205555435 2238888665 2411110870 3134444131 4477777330 6268888262 15672220655 31344441310