Search a number
-
+
14214524044455 = 32571914811603663
BaseRepresentation
bin1100111011011001001110…
…1010000000010010100111
31212022220011121202112200100
43032312103222000102213
53330342321123410310
650122021233515143
72664652104552360
oct316662352002247
955286147675610
1014214524044455
114590389284409
121716a53412ab3
137c1568305367
14371db547ab67
15199b444bcec0
hexced93a804a7

14214524044455 has 96 divisors (see below), whose sum is σ = 29660342999040. Its totient is φ = 6151904017920.

The previous prime is 14214524044439. The next prime is 14214524044477. The reversal of 14214524044455 is 55444042541241.

14214524044455 is a `hidden beast` number, since 1 + 42 + 1 + 4 + 524 + 0 + 44 + 45 + 5 = 666.

It is not a de Polignac number, because 14214524044455 - 24 = 14214524044439 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 14214524044455.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8061954 + ... + 9665616.

It is an arithmetic number, because the mean of its divisors is an integer number (308961906240).

Almost surely, 214214524044455 is an apocalyptic number.

14214524044455 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14214524044455 is an abundant number, since it is smaller than the sum of its proper divisors (15445818954585).

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

14214524044455 is a wasteful number, since it uses less digits than its factorization.

14214524044455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605181 (or 1605178 counting only the distinct ones).

The product of its (nonzero) digits is 2048000, while the sum is 45.

Adding to 14214524044455 its reverse (55444042541241), we get a palindrome (69658566585696).

The spelling of 14214524044455 in words is "fourteen trillion, two hundred fourteen billion, five hundred twenty-four million, forty-four thousand, four hundred fifty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 399 665 855 1197 1481 1995 4443 5985 7405 10367 13329 22215 28139 31101 51835 66645 84417 93303 140695 155505 196973 253251 422085 466515 590919 984865 1266255 1603663 1772757 2954595 4810989 8018315 8863785 11225641 14432967 24054945 30469597 33676923 56128205 72164835 91408791 101030769 152347985 168384615 213287179 274226373 457043955 505153845 639861537 1066435895 1371131865 1919584611 2375024903 3199307685 7125074709 9597923055 11875124515 16625174321 21375224127 35625373545 45125473157 49875522963 83125871605 106876120635 135376419471 149626568889 225627365785 249377614815 315878312099 406129258413 676882097355 748132844445 947634936297 1579391560495 2030646292065 2842904808891 4738174681485 14214524044455