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5705631324140 = 2251161587724291
BaseRepresentation
bin101001100000111001000…
…1000001101011111101100
3202012110020020221102121212
41103001302020031133230
51221440113104333030
620045044132413552
71126134602024246
oct123016210153754
922173206842555
105705631324140
1118aa821156350
127819584772b8
13325067105267
1415a22292b096
159d63ad89595
hex5307220d7ec

5705631324140 has 96 divisors (see below), whose sum is σ = 13308013732608. Its totient is φ = 2037282912000.

The previous prime is 5705631324121. The next prime is 5705631324247. The reversal of 5705631324140 is 414231365075.

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, 7515395 + ... + 8239685.

It is an arithmetic number, because the mean of its divisors is an integer number (138625143048).

Almost surely, 25705631324140 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 5705631324140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6654006866304).

5705631324140 is an abundant number, since it is smaller than the sum of its proper divisors (7602382408468).

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

5705631324140 is a wasteful number, since it uses less digits than its factorization.

5705631324140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724959 (or 724957 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 41.

The spelling of 5705631324140 in words is "five trillion, seven hundred five billion, six hundred thirty-one million, three hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 587 610 671 1174 1220 1342 2348 2684 2935 3355 5870 6457 6710 11740 12914 13420 25828 32285 35807 64570 71614 129140 143228 179035 358070 393877 716140 724291 787754 1448582 1575508 1969385 2897164 3621455 3938770 7242910 7877540 7967201 14485820 15934402 31868804 39836005 44181751 79672010 88363502 159344020 176727004 220908755 425158817 441817510 485999261 850317634 883635020 971998522 1700635268 1943997044 2125794085 2429996305 4251588170 4676746987 4859992610 8503176340 9353493974 9719985220 18706987948 23383734935 25934687837 46767469870 51869375674 93534939740 103738751348 129673439185 259346878370 285281566207 518693756740 570563132414 1141126264828 1426407831035 2852815662070 5705631324140