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14042313322040 = 23529367303710861
BaseRepresentation
bin1100110001010111101100…
…0110001110111000111000
31211201102122221220102112002
43030111323012032320320
53320032124202301130
645510541044240132
72646344420556353
oct314257306167070
954642587812462
1014042313322040
114524347873823
1216a95b23a0048
137ab252364303
14367919d7529a
15195415a38b45
hexcc57b18ee38

14042313322040 has 128 divisors (see below), whose sum is σ = 32787563961600. Its totient is φ = 5406182369280.

The previous prime is 14042313321997. The next prime is 14042313322043. The reversal of 14042313322040 is 4022331324041.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 14042313321994 and 14042313322012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14042313322043) 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, 1292906210 + ... + 1292917070.

It is an arithmetic number, because the mean of its divisors is an integer number (256152843450).

Almost surely, 214042313322040 is an apocalyptic number.

14042313322040 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 14042313322040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16393781980800).

14042313322040 is an abundant number, since it is smaller than the sum of its proper divisors (18745250639560).

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

14042313322040 is a wasteful number, since it uses less digits than its factorization.

14042313322040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14305 (or 14301 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 14042313322040 its reverse (4022331324041), we get a palindrome (18064644646081).

The spelling of 14042313322040 in words is "fourteen trillion, forty-two billion, three hundred thirteen million, three hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 367 580 734 1160 1468 1835 2936 3037 3670 6074 7340 10643 10861 12148 14680 15185 21286 21722 24296 30370 42572 43444 53215 54305 60740 85144 86888 88073 106430 108610 121480 176146 212860 217220 314969 352292 425720 434440 440365 629938 704584 880730 1114579 1259876 1574845 1761460 2229158 2519752 3149690 3522920 3985987 4458316 5572895 6299380 7971974 8916632 11145790 12598760 15943948 19929935 22291580 31887896 32322791 32984857 39859870 44583160 64645582 65969714 79719740 115593623 129291164 131939428 159439480 161613955 164924285 231187246 258582328 263878856 323227910 329848570 462374492 577968115 646455820 659697140 924748984 956560853 1155936230 1292911640 1319394280 1913121706 2311872460 3826243412 4623744920 4782804265 7652486824 9565608530 12105442519 19131217060 24210885038 38262434120 48421770076 60527212595 96843540152 121054425190 242108850380 351057833051 484217700760 702115666102 1404231332204 1755289165255 2808462664408 3510578330510 7021156661020 14042313322040