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14054540212242 = 2322335578816829
BaseRepresentation
bin1100110010000101001111…
…1000000111100000010010
31211202121020001221210201100
43030201103320013200102
53320232144243242432
645520322221045230
72650256415454515
oct314412370074022
954677201853640
1014054540212242
114529551604362
1216aba450b6816
137ac45050979a
14368359b74d7c
151958ce17607c
hexcc853e07812

14054540212242 has 96 divisors (see below), whose sum is σ = 30676368930480. Its totient is φ = 4650398945280.

The previous prime is 14054540212189. The next prime is 14054540212243. The reversal of 14054540212242 is 24221204545041.

14054540212242 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 4 + 5 + 402 + 1 + 2 + 242 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 722263719321 + 13332276492921 = 849861^2 + 3651339^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14054540212197 and 14054540212206.

It is not an unprimeable number, because it can be changed into a prime (14054540212243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2058063684 + ... + 2058070512.

Almost surely, 214054540212242 is an apocalyptic number.

14054540212242 is an abundant number, since it is smaller than the sum of its proper divisors (16621828718238).

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

14054540212242 is a wasteful number, since it uses less digits than its factorization.

14054540212242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8508 (or 8505 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 14054540212242 its reverse (24221204545041), we get a palindrome (38275744757283).

The spelling of 14054540212242 in words is "fourteen trillion, fifty-four billion, five hundred forty million, two hundred twelve thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 233 466 557 699 881 1114 1398 1671 1762 2097 2643 3342 4194 5013 5286 6829 7929 10026 13658 15858 20487 40974 61461 122922 129781 205273 259562 389343 410546 490717 615819 778686 981434 1168029 1231638 1472151 1591157 1847457 2336058 2944302 3182314 3694914 3803753 4416453 4773471 6016349 7607506 8832906 9546942 11411259 12032698 14320413 18049047 22822518 28640826 34233777 36098094 54147141 68467554 108294282 114337061 228674122 343011183 686022366 886274449 1029033549 1401809317 1772548898 2058067098 2658823347 2803618634 3351106393 4205427951 5317646694 6702212786 7976470041 8410855902 10053319179 12616283853 15952940082 20106638358 25232567706 30159957537 60319915074 780807789569 1561615579138 2342423368707 4684846737414 7027270106121 14054540212242