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14083111955712 = 283175320352259
BaseRepresentation
bin1100110011101111101011…
…1000101010110100000000
31211212022222021201202110110
43030323322320222310000
53321214203130040322
645541405312431320
72652320433333252
oct314737270526400
954768867652413
1014083111955712
11453a68360a098
1216b5499848540
137b2054a0b877
143698aa633cd2
151965026c7c0c
hexccefae2ad00

14083111955712 has 144 divisors (see below), whose sum is σ = 40435218895680. Its totient is φ = 4334868135936.

The previous prime is 14083111955663. The next prime is 14083111955719. The reversal of 14083111955712 is 21755911138041.

14083111955712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14083111955719) 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, 9484162 + ... + 10868097.

It is an arithmetic number, because the mean of its divisors is an integer number (280800131220).

Almost surely, 214083111955712 is an apocalyptic number.

14083111955712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14083111955712 is an abundant number, since it is smaller than the sum of its proper divisors (26352106939968).

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

14083111955712 is a wasteful number, since it uses less digits than its factorization.

14083111955712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20352348 (or 20352334 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 48.

The spelling of 14083111955712 in words is "fourteen trillion, eighty-three billion, one hundred eleven million, nine hundred fifty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 53 64 68 96 102 106 128 136 159 192 204 212 256 272 318 384 408 424 544 636 768 816 848 901 1088 1272 1632 1696 1802 2176 2544 2703 3264 3392 3604 4352 5088 5406 6528 6784 7208 10176 10812 13056 13568 14416 20352 21624 28832 40704 43248 57664 86496 115328 172992 230656 345984 691968 20352259 40704518 61056777 81409036 122113554 162818072 244227108 325636144 345988403 488454216 651272288 691976806 976908432 1037965209 1078669727 1302544576 1383953612 1953816864 2075930418 2157339454 2605089152 2767907224 3236009181 3907633728 4151860836 4314678908 5210178304 5535814448 6472018362 7815267456 8303721672 8629357816 11071628896 12944036724 15630534912 16607443344 17258715632 18337385359 22143257792 25888073448 33214886688 34517431264 36674770718 44286515584 51776146896 55012156077 66429773376 69034862528 73349541436 88573031168 103552293792 110024312154 132859546752 138069725056 146699082872 207104587584 220048624308 265719093504 276139450112 293398165744 414209175168 440097248616 586796331488 828418350336 880194497232 1173592662976 1760388994464 2347185325952 3520777988928 4694370651904 7041555977856 14083111955712