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31531304440 = 23523297611553
BaseRepresentation
bin11101010111011010…
…011000010111111000
310000101110201020011101
4131113122120113320
51004034003220230
622252453141144
72164242444166
oct352732302770
9100343636141
1031531304440
1112410665799
12613b92a7b4
132c866c7cbc
14175197a236
15c482a8aca
hex7576985f8

31531304440 has 128 divisors (see below), whose sum is σ = 76732790400. Its totient is φ = 11625349120.

The previous prime is 31531304437. The next prime is 31531304447. The reversal of 31531304440 is 4440313513.

It is a junction number, because it is equal to n+sod(n) for n = 31531304399 and 31531304408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31531304447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20302704 + ... + 20304256.

It is an arithmetic number, because the mean of its divisors is an integer number (599474925).

Almost surely, 231531304440 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 31531304440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38366395200).

31531304440 is an abundant number, since it is smaller than the sum of its proper divisors (45201485960).

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

31531304440 is a wasteful number, since it uses less digits than its factorization.

31531304440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 31531304440 its reverse (4440313513), we get a palindrome (35971617953).

The spelling of 31531304440 in words is "thirty-one billion, five hundred thirty-one million, three hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 29 40 46 58 92 115 116 145 184 230 232 290 460 580 667 761 920 1160 1334 1522 1553 2668 3044 3106 3335 3805 5336 6088 6212 6670 7610 7765 12424 13340 15220 15530 17503 22069 26680 30440 31060 35006 35719 44138 45037 62120 70012 71438 87515 88276 90074 110345 140024 142876 175030 176552 178595 180148 220690 225185 285752 350060 357190 360296 441380 450370 507587 700120 714380 882760 900740 1015174 1035851 1181833 1428760 1801480 2030348 2071702 2363666 2537935 4060696 4143404 4727332 5075870 5179255 5909165 8286808 9454664 10151740 10358510 11818330 20303480 20717020 23636660 27182159 34273157 41434040 47273320 54364318 68546314 108728636 135910795 137092628 171365785 217457272 271821590 274185256 342731570 543643180 685463140 788282611 1087286360 1370926280 1576565222 3153130444 3941413055 6306260888 7882826110 15765652220 31531304440