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14213122301040 = 2435134555487917
BaseRepresentation
bin1100111011010100000000…
…0110110001110001110000
31212022202112221010121012120
43032311000012301301300
53330331433302113130
650121230201354240
72664602264126025
oct316650006616160
955282487117176
1014213122301040
11458a82a004883
121716721a98980
137c13a3a961a0
14371cc123354c
15199ab13d1910
hexced401b1c70

14213122301040 has 80 divisors (see below), whose sum is σ = 47449962153888. Its totient is φ = 3498614719488.

The previous prime is 14213122301039. The next prime is 14213122301047. The reversal of 14213122301040 is 4010322131241.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14213122301040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14213122301047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2277740839 + ... + 2277747078.

Almost surely, 214213122301040 is an apocalyptic number.

14213122301040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14213122301040 is an abundant number, since it is smaller than the sum of its proper divisors (33236839852848).

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

14213122301040 is a wasteful number, since it uses less digits than its factorization.

14213122301040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4555487946 (or 4555487940 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14213122301040 its reverse (4010322131241), we get a palindrome (18223444432281).

The spelling of 14213122301040 in words is "fourteen trillion, two hundred thirteen billion, one hundred twenty-two million, three hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 4555487917 9110975834 13666463751 18221951668 22777439585 27332927502 36443903336 45554879170 54665855004 59221342921 68332318755 72887806672 91109758340 109331710008 118442685842 136664637510 177664028763 182219516680 218663420016 236885371684 273329275020 296106714605 355328057526 364439033360 473770743368 546658550040 592213429210 710656115052 888320143815 947541486736 1093317100080 1184426858420 1421312230104 1776640287630 2368853716840 2842624460208 3553280575260 4737707433680 7106561150520 14213122301040