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31109290240 = 28573799161
BaseRepresentation
bin11100111110010000…
…100001100100000000
32222022001121200111211
4130332100201210000
51002202434241430
622142540015504
72150626414120
oct347620414400
988261550454
1031109290240
1112214424226
126042531594
132c1a149562
1417118c4c80
15c211e772a
hex73e421900

31109290240 has 144 divisors (see below), whose sum is σ = 85395703680. Its totient is φ = 10636738560.

The previous prime is 31109290213. The next prime is 31109290291. The reversal of 31109290240 is 4209290113.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3391260 + ... + 3400420.

It is an arithmetic number, because the mean of its divisors is an integer number (593025720).

Almost surely, 231109290240 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 31109290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42697851840).

31109290240 is an abundant number, since it is smaller than the sum of its proper divisors (54286413440).

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

31109290240 is an equidigital number, since it uses as much as digits as its factorization.

31109290240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9568 (or 9554 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 31109290240 in words is "thirty-one billion, one hundred nine million, two hundred ninety thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 379 448 560 640 758 896 1120 1280 1516 1792 1895 2240 2653 3032 3790 4480 5306 6064 7580 8960 9161 10612 12128 13265 15160 18322 21224 24256 26530 30320 36644 42448 45805 48512 53060 60640 64127 73288 84896 91610 97024 106120 121280 128254 146576 169792 183220 212240 242560 256508 293152 320635 339584 366440 424480 485120 513016 586304 641270 679168 732880 848960 1026032 1172608 1282540 1465760 1697920 2052064 2345216 2565080 2931520 3395840 3472019 4104128 5130160 5863040 6944038 8208256 10260320 11726080 13888076 16416512 17360095 20520640 24304133 27776152 34720190 41041280 48608266 55552304 69440380 82082560 97216532 111104608 121520665 138880760 194433064 222209216 243041330 277761520 388866128 444418432 486082660 555523040 777732256 888836864 972165320 1111046080 1555464512 1944330640 2222092160 3110929024 3888661280 4444184320 6221858048 7777322560 15554645120 31109290240