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14018798202112 = 281113749737307
BaseRepresentation
bin1100110000000000000101…
…1111001010110100000000
31211122011222011001120020101
43030000001133022310000
53314140444314431422
645452051425452144
72644552613420404
oct314000137126400
954564864046211
1014018798202112
114515380130110
1216a4b2b1a1054
137a8c75657c72
14366728cb7104
151949db3c5c27
hexcc0017cad00

14018798202112 has 144 divisors (see below), whose sum is σ = 30759944830272. Its totient is φ = 6323531202560.

The previous prime is 14018798202043. The next prime is 14018798202119. The reversal of 14018798202112 is 21120289781041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14018798202119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1918539963 + ... + 1918547269.

It is an arithmetic number, because the mean of its divisors is an integer number (213610727988).

Almost surely, 214018798202112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14018798202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15379972415136).

14018798202112 is an abundant number, since it is smaller than the sum of its proper divisors (16741146628160).

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

14018798202112 is a wasteful number, since it uses less digits than its factorization.

14018798202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12444 (or 12430 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 46.

The spelling of 14018798202112 in words is "fourteen trillion, eighteen billion, seven hundred ninety-eight million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 137 176 256 274 352 548 704 1096 1408 1507 2192 2816 3014 4384 4973 6028 7307 8768 9946 12056 14614 17536 19892 24112 29228 35072 39784 48224 54703 58456 79568 80377 96448 109406 116912 159136 160754 192896 218812 233824 318272 321508 385792 437624 467648 636544 643016 681301 875248 935296 1001059 1273088 1286032 1362602 1750496 1870592 2002118 2572064 2725204 3500992 4004236 5144128 5450408 7001984 7494311 8008472 10288256 10900816 11011649 14003968 14988622 16016944 20576512 21801632 22023298 29977244 32033888 36337711 43603264 44046596 59954488 64067776 72675422 87206528 88093192 119908976 128135552 145350844 174413056 176186384 239817952 256271104 290701688 352372768 399714821 479635904 581403376 704745536 799429642 959271808 1162806752 1409491072 1598859284 1918543616 2325613504 2818982144 3197718568 4651227008 4978266407 6395437136 9302454016 9956532814 12790874272 19913065628 25581748544 39826131256 51163497088 54760930477 79652262512 102326994176 109521860954 159304525024 219043721908 318609050048 438087443816 637218100096 876174887632 1274436200192 1752349775264 3504699550528 7009399101056 14018798202112