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314430130112140 = 22572536053718331
BaseRepresentation
bin100011101111110001111100…
…0001101100100011010001100
31112020022020010101120012021201
41013133203320031210122030
5312203110401302042030
63032423112504235244
7123141553512566200
oct10737437015443214
91466266111505251
10314430130112140
11912070842a9729
122b3227ba46bb24
131065a831cb6a03
1457906dc8a0b00
1526540b13d12ca
hex11df8f836468c

314430130112140 has 72 divisors (see below), whose sum is σ = 782600491087632. Its totient is φ = 105770566661760.

The previous prime is 314430130112129. The next prime is 314430130112159. The reversal of 314430130112140 is 41211031034413.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 314430130112099 and 314430130112108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3026807226 + ... + 3026911105.

It is an arithmetic number, because the mean of its divisors is an integer number (10869451265106).

Almost surely, 2314430130112140 is an apocalyptic number.

It is an amenable number.

314430130112140 is an abundant number, since it is smaller than the sum of its proper divisors (468170360975492).

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

314430130112140 is a wasteful number, since it uses less digits than its factorization.

314430130112140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6053718407 (or 6053718398 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 314430130112140 its reverse (41211031034413), we get a palindrome (355641161146553).

The spelling of 314430130112140 in words is "three hundred fourteen trillion, four hundred thirty billion, one hundred thirty million, one hundred twelve thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 53 70 98 106 140 196 212 245 265 371 490 530 742 980 1060 1484 1855 2597 3710 5194 7420 10388 12985 25970 51940 6053718331 12107436662 24214873324 30268591655 42376028317 60537183310 84752056634 121074366620 169504113268 211880141585 296632198219 320847071543 423760283170 593264396438 641694143086 847520566340 1186528792876 1283388286172 1483160991095 1604235357715 2245929500801 2966321982190 3208470715430 4491859001602 5932643964380 6416941430860 8983718003204 11229647504005 15721506505607 22459295008010 31443013011214 44918590016020 62886026022428 78607532528035 157215065056070 314430130112140