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14233013241040 = 2451159877312581
BaseRepresentation
bin1100111100011110000110…
…1100101100010011010000
31212101122220011110001021001
43033013201230230103100
53331143202342203130
650134320033311344
72666205223254526
oct317074154542320
955348804401231
1014233013241040
114598206a14470
12171a553405554
137c32239a7579
14372c4ac4a316
1519a3777a86ca
hexcf1e1b2c4d0

14233013241040 has 160 divisors (see below), whose sum is σ = 36753941704320. Its totient is φ = 5082100684800.

The previous prime is 14233013240989. The next prime is 14233013241071. The reversal of 14233013241040 is 4014231033241.

It is a happy number.

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, 45377550 + ... + 45690130.

It is an arithmetic number, because the mean of its divisors is an integer number (229712135652).

Almost surely, 214233013241040 is an apocalyptic number.

14233013241040 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 14233013241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18376970852160).

14233013241040 is an abundant number, since it is smaller than the sum of its proper divisors (22520928463280).

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

14233013241040 is a wasteful number, since it uses less digits than its factorization.

14233013241040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313541 (or 313535 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 14233013241040 its reverse (4014231033241), we get a palindrome (18247244274281).

The spelling of 14233013241040 in words is "fourteen trillion, two hundred thirty-three billion, thirteen million, two hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 59 80 88 110 118 176 220 236 295 440 472 590 649 877 880 944 1180 1298 1754 2360 2596 3245 3508 4385 4720 5192 6490 7016 8770 9647 10384 12980 14032 17540 19294 25960 35080 38588 48235 51743 51920 70160 77176 96470 103486 154352 192940 206972 258715 312581 385880 413944 517430 569173 625162 771760 827888 1034860 1138346 1250324 1562905 2069720 2276692 2500648 2845865 3125810 3438391 4139440 4553384 5001296 5691730 6251620 6876782 9106768 11383460 12503240 13753564 17191955 18442279 22766920 25006480 27507128 34383910 36884558 45533840 55014256 68767820 73769116 92211395 137535640 147538232 184422790 202865069 274133537 275071280 295076464 368845580 405730138 548267074 737691160 811460276 1014325345 1096534148 1370667685 1475382320 1622920552 2028650690 2193068296 2741335370 3015468907 3245841104 4057301380 4386136592 5482670740 6030937814 8114602760 10965341480 12061875628 15077344535 16173878683 16229205520 21930682960 24123751256 30154689070 32347757366 48247502512 60309378140 64695514732 80869393415 120618756280 129391029464 161738786830 177912665513 241237512560 258782058928 323477573660 355825331026 646955147320 711650662052 889563327565 1293910294640 1423301324104 1779126655130 2846602648208 3558253310260 7116506620520 14233013241040