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5707303007440 = 2451716348775279
BaseRepresentation
bin101001100001101010111…
…0001001011010011010000
3202012121112202111202000011
41103003111301023103100
51222002024032214230
620045522050404304
71126224201061426
oct123032561132320
922177482452004
105707303007440
1119004a98387a1
12782144290694
13325272548a88
1415a340961116
159d6d79e7e2a
hex530d5c4b4d0

5707303007440 has 160 divisors (see below), whose sum is σ = 14141810580480. Its totient is φ = 2134607634432.

The previous prime is 5707303007411. The next prime is 5707303007453. The reversal of 5707303007440 is 447003037075.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 5707303007393 and 5707303007402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1081130721 + ... + 1081135999.

It is an arithmetic number, because the mean of its divisors is an integer number (88386316128).

Almost surely, 25707303007440 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 5707303007440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7070905290240).

5707303007440 is an abundant number, since it is smaller than the sum of its proper divisors (8434507573040).

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

5707303007440 is a wasteful number, since it uses less digits than its factorization.

5707303007440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10349 (or 10343 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 40.

The spelling of 5707303007440 in words is "five trillion, seven hundred seven billion, three hundred three million, seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 163 170 272 326 340 652 680 815 1304 1360 1630 2608 2771 3260 4877 5279 5542 6520 9754 10558 11084 13040 13855 19508 21116 22168 24385 26395 27710 39016 42232 44336 48770 52790 55420 78032 82909 84464 89743 97540 105580 110840 165818 179486 195080 211160 221680 331636 358972 390160 414545 422320 448715 663272 717944 794951 829090 860477 897430 1326544 1435888 1589902 1658180 1720954 1794860 3179804 3316360 3441908 3589720 3974755 4302385 6359608 6632720 6883816 7179440 7949510 8604770 12719216 13514167 13767632 14628109 15899020 17209540 25745683 27028334 29256218 31798040 34419080 51491366 54056668 58512436 63596080 67570835 68838160 73140545 102982732 108113336 117024872 128728415 135141670 146281090 205965464 216226672 234049744 257456830 270283340 292562180 411930928 437676611 514913660 540566680 585124360 875353222 1029827320 1081133360 1170248720 1750706444 2059654640 2188383055 3501412888 4196546329 4376766110 7002825776 8393092658 8753532220 16786185316 17507064440 20982731645 33572370632 35014128880 41965463290 67144741264 71341287593 83930926580 142682575186 167861853160 285365150372 335723706320 356706437965 570730300744 713412875930 1141460601488 1426825751860 2853651503720 5707303007440