Search a number
-
+
14033122000440 = 2335712677761511
BaseRepresentation
bin1100110000110101011101…
…0000000111111000111000
31211200112221101210220121120
43030031113100013320320
53314404313213003230
645502421030305240
72645600562614364
oct314152720077070
954615841726546
1014033122000440
114520460587874
1216a78681b8220
137aa419077b8a
143672c739a2a4
15195078b69310
hexcc357407e38

14033122000440 has 128 divisors (see below), whose sum is σ = 42694603269120. Its totient is φ = 3689261542400.

The previous prime is 14033122000411. The next prime is 14033122000481. The reversal of 14033122000440 is 4400022133041.

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 14033122000440.

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, 228109285 + ... + 228170795.

It is an arithmetic number, because the mean of its divisors is an integer number (333551588040).

Almost surely, 214033122000440 is an apocalyptic number.

14033122000440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14033122000440 is an abundant number, since it is smaller than the sum of its proper divisors (28661481268680).

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

14033122000440 is a wasteful number, since it uses less digits than its factorization.

14033122000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88373 (or 88369 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14033122000440 its reverse (4400022133041), we get a palindrome (18433144133481).

The spelling of 14033122000440 in words is "fourteen trillion, thirty-three billion, one hundred twenty-two million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1420 1704 2130 2840 4260 8520 26777 53554 61511 80331 107108 123022 133885 160662 184533 214216 246044 267770 307555 321324 369066 401655 492088 535540 615110 642648 738132 803310 922665 1071080 1230220 1476264 1606620 1845330 1901167 2460440 3213240 3690660 3802334 4367281 5703501 7381320 7604668 8734562 9505835 11407002 13101843 15209336 17469124 19011670 21836405 22814004 26203686 28517505 34938248 38023340 43672810 45628008 52407372 57035010 65509215 76046680 87345620 104814744 114070020 131018430 174691240 228140040 262036860 524073720 1647080047 3294160094 4941240141 6588320188 8235400235 9882480282 13176640376 16470800470 19764960564 24706200705 32941600940 39529921128 49412401410 65883201880 98824802820 116942683337 197649605640 233885366674 350828050011 467770733348 584713416685 701656100022 935541466696 1169426833370 1403312200044 1754140250055 2338853666740 2806624400088 3508280500110 4677707333480 7016561000220 14033122000440