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31130453440240 = 24571118472736137
BaseRepresentation
bin1110001010000000111111…
…00111100111011011110000
311002020001010211021120122221
413011000133213213123300
513040020132040041430
6150113044411410424
76362046441160630
oct705003747473360
9132201124246587
1031130453440240
119a12395441480
1235a9359a53a14
13144a78751213b
14798a171b46c0
1538eb940c157a
hex1c501f9e76f0

31130453440240 has 160 divisors (see below), whose sum is σ = 90286775276544. Its totient is φ = 9697741547520.

The previous prime is 31130453440213. The next prime is 31130453440253. The reversal of 31130453440240 is 4204435403113.

It is a junction number, because it is equal to n+sod(n) for n = 31130453440196 and 31130453440205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10009452 + ... + 12745588.

Almost surely, 231130453440240 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 31130453440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45143387638272).

31130453440240 is an abundant number, since it is smaller than the sum of its proper divisors (59156321836304).

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

31130453440240 is a wasteful number, since it uses less digits than its factorization.

31130453440240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738015 (or 2738009 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 31130453440240 its reverse (4204435403113), we get a palindrome (35334888843353).

The spelling of 31130453440240 in words is "thirty-one trillion, one hundred thirty billion, four hundred fifty-three million, four hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 1847 3080 3694 6160 7388 9235 12929 14776 18470 20317 25858 29552 36940 40634 51716 64645 73880 81268 101585 103432 129290 142219 147760 162536 203170 206864 258580 284438 325072 406340 517160 568876 711095 812680 1034320 1137752 1422190 1625360 2275504 2736137 2844380 5472274 5688760 10944548 11377520 13680685 19152959 21889096 27361370 30097507 38305918 43778192 54722740 60195014 76611836 95764795 109445480 120390028 150487535 153223672 191529590 210682549 218890960 240780056 300975070 306447344 383059180 421365098 481560112 601950140 766118360 842730196 1053412745 1203900280 1532236720 1685460392 2106825490 2407800560 3370920784 4213650980 5053645039 8427301960 10107290078 16854603920 20214580156 25268225195 35375515273 40429160312 50536450390 55590095429 70751030546 80858320624 101072900780 111180190858 141502061092 176877576365 202145801560 222360381716 277950477145 283004122184 353755152730 389130668003 404291603120 444720763432 555900954290 566008244368 707510305460 778261336006 889441526864 1111801908580 1415020610920 1556522672012 1945653340015 2223603817160 2830041221840 3113045344024 3891306680030 4447207634320 6226090688048 7782613360060 15565226720120 31130453440240