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14107105106620 = 22523712811537147
BaseRepresentation
bin1100110101001001000011…
…1111010001101010111100
31211221121220102002002222021
43031102100333101222330
53322112322401402440
650000414205125524
72654130133626451
oct315222077215274
954847812062867
1014107105106620
114549876074529
1216ba074b598a4
137b43a977a596
1436ab04da9828
15196e58cb484a
hexcd490fd1abc

14107105106620 has 96 divisors (see below), whose sum is σ = 31459935015936. Its totient is φ = 5302538841600.

The previous prime is 14107105106617. The next prime is 14107105106623. The reversal of 14107105106620 is 2660150170141.

It is an interprime number because it is at equal distance from previous prime (14107105106617) and next prime (14107105106623).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14107105106623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8408887 + ... + 9946033.

It is an arithmetic number, because the mean of its divisors is an integer number (327707656416).

Almost surely, 214107105106620 is an apocalyptic number.

14107105106620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14107105106620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15729967507968).

14107105106620 is an abundant number, since it is smaller than the sum of its proper divisors (17352829909316).

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

14107105106620 is a wasteful number, since it uses less digits than its factorization.

14107105106620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537531 (or 1537529 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

Adding to 14107105106620 its reverse (2660150170141), we get a palindrome (16767255276761).

The spelling of 14107105106620 in words is "fourteen trillion, one hundred seven billion, one hundred five million, one hundred six thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 71 92 115 142 230 281 284 355 460 562 710 1124 1405 1420 1633 2810 3266 5620 6463 6532 8165 12926 16330 19951 25852 32315 32660 39902 64630 79804 99755 129260 199510 399020 458873 917746 1537147 1835492 2294365 3074294 4588730 6148588 7685735 9177460 15371470 30742940 35354381 70708762 109137437 141417524 176771905 218274874 353543810 431938307 436549748 545687185 707087620 863876614 1091374370 1727753228 2159691535 2182748740 2510161051 4319383070 5020322102 8638766140 9934581061 10040644204 12550805255 19869162122 25101610510 30667619797 39738324244 49672905305 50203221020 61335239594 99345810610 122670479188 153338098985 198691621220 306676197970 613352395940 705355255331 1410710510662 2821421021324 3526776276655 7053552553310 14107105106620