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314100324414140 = 2251117140715968591
BaseRepresentation
bin100011101101011000010111…
…0010000101011001010111100
31112012010200211122221211101212
41013122300232100223022330
5312132204431022223030
63032011410315423552
7123105666564451025
oct10732605620531274
91465120748854355
10314100324414140
119109a22160a370
122b28a8b7154bb8
13106356c2133914
14577c773051c4c
15264a70c1c9595
hex11dac2e42b2bc

314100324414140 has 96 divisors (see below), whose sum is σ = 761957521532928. Its totient is φ = 107491918464000.

The previous prime is 314100324414131. The next prime is 314100324414169. The reversal of 314100324414140 is 41414423001413.

It is a junction number, because it is equal to n+sod(n) for n = 314100324414097 and 314100324414106.

It is a congruent number.

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, 49641245 + ... + 55609835.

It is an arithmetic number, because the mean of its divisors is an integer number (7937057515968).

Almost surely, 2314100324414140 is an apocalyptic number.

It is an amenable number.

314100324414140 is an abundant number, since it is smaller than the sum of its proper divisors (447857197118788).

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

314100324414140 is a wasteful number, since it uses less digits than its factorization.

314100324414140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5982699 (or 5982697 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 314100324414140 its reverse (41414423001413), we get a palindrome (355514747415553).

The spelling of 314100324414140 in words is "three hundred fourteen trillion, one hundred billion, three hundred twenty-four million, four hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 14071 28142 56284 70355 140710 154781 239207 281420 309562 478414 619124 773905 956828 1196035 1547810 2392070 2631277 3095620 4784140 5262554 5968591 10525108 11937182 13156385 23874364 26312770 29842955 52625540 59685910 65654501 101466047 119371820 131309002 202932094 262618004 328272505 405864188 507330235 656545010 1014660470 1116126517 1313090020 2029320940 2232253034 4464506068 5580632585 11161265170 22322530340 83984043961 167968087922 335936175844 419920219805 839840439610 923824483571 1427728747337 1679680879220 1847648967142 2855457494674 3695297934284 4619122417855 5710914989348 7138643736685 9238244835710 14277287473370 15705016220707 18476489671420 28554574946740 31410032441414 62820064882828 78525081103535 157050162207070 314100324414140