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313114004320240 = 24541472031097589
BaseRepresentation
bin100011100110001101000100…
…1000000000110111111110000
31112001122101222022200122012201
41013030122021000012333300
5312020024440101221430
63025534330545032544
7122644511630131114
oct10714321100067760
91461571868618181
10313114004320240
11908499a36343a2
122b14b712625754
13105936a7062096
145746b2779b744
15262ec319188ca
hex11cc689006ff0

313114004320240 has 80 divisors (see below), whose sum is σ = 761612849907840. Its totient is φ = 119591025981440.

The previous prime is 313114004320237. The next prime is 313114004320331. The reversal of 313114004320240 is 42023400411313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 313114004320199 and 313114004320208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1015394635 + ... + 1015702954.

It is an arithmetic number, because the mean of its divisors is an integer number (9520160623848).

Almost surely, 2313114004320240 is an apocalyptic number.

It is an amenable number.

313114004320240 is an abundant number, since it is smaller than the sum of its proper divisors (448498845587600).

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

313114004320240 is a wasteful number, since it uses less digits than its factorization.

313114004320240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031097690 (or 2031097684 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 313114004320240 its reverse (42023400411313), we get a palindrome (355137404731553).

The spelling of 313114004320240 in words is "three hundred thirteen trillion, one hundred fourteen billion, four million, three hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 47 80 82 94 164 188 205 235 328 376 410 470 656 752 820 940 1640 1880 1927 3280 3760 3854 7708 9635 15416 19270 30832 38540 77080 154160 2031097589 4062195178 8124390356 10155487945 16248780712 20310975890 32497561424 40621951780 81243903560 83275001149 95461586683 162487807120 166550002298 190923173366 333100004596 381846346732 416375005745 477307933415 666200009192 763692693464 832750011490 954615866830 1332400018384 1527385386928 1665500022980 1909231733660 3331000045960 3818463467320 3913925054003 6662000091920 7636926934640 7827850108006 15655700216012 19569625270015 31311400432024 39139250540030 62622800864048 78278501080060 156557002160120 313114004320240