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31244434410 = 23572329223063
BaseRepresentation
bin11101000110010100…
…000011101111101010
32222122110220201110110
4131012110003233222
51002442033400120
622204204355150
72154160211340
oct350624035752
988573821413
1031244434410
111228373a022
12607b845ab6
132c3c146617
141725823990
15c2cee02e0
hex746503bea

31244434410 has 128 divisors (see below), whose sum is σ = 92509102080. Its totient is φ = 6595497216.

The previous prime is 31244434409. The next prime is 31244434421. The reversal of 31244434410 is 1443444213.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28539 + ... + 251601.

It is an arithmetic number, because the mean of its divisors is an integer number (722727360).

Almost surely, 231244434410 is an apocalyptic number.

31244434410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31244434410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46254551040).

31244434410 is an abundant number, since it is smaller than the sum of its proper divisors (61264667670).

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

31244434410 is a wasteful number, since it uses less digits than its factorization.

31244434410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223132.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 31244434410 its reverse (1443444213), we get a palindrome (32687878623).

The spelling of 31244434410 in words is "thirty-one billion, two hundred forty-four million, four hundred thirty-four thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 29 30 35 42 46 58 69 70 87 105 115 138 145 161 174 203 210 230 290 322 345 406 435 483 609 667 690 805 870 966 1015 1218 1334 1610 2001 2030 2415 3045 3335 4002 4669 4830 6090 6670 9338 10005 14007 20010 23345 28014 46690 70035 140070 223063 446126 669189 1115315 1338378 1561441 2230630 3122882 3345945 4684323 5130449 6468827 6691890 7807205 9368646 10260898 12937654 15391347 15614410 19406481 23421615 25652245 30782694 32344135 35913143 38812962 45281789 46843230 51304490 64688270 71826286 76956735 90563578 97032405 107739429 135845367 148783021 153913470 179565715 194064810 215478858 226408945 271690734 297566042 359131430 446349063 452817890 538697145 679226835 743915105 892698126 1041481147 1077394290 1358453670 1487830210 2082962294 2231745315 3124443441 4463490630 5207405735 6248886882 10414811470 15622217205 31244434410