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14181219034668 = 22327213126407639
BaseRepresentation
bin1100111001011101001010…
…0001011110011000101100
31212012201012112111202012100
43032113102201132120230
53324321114033102133
650054432335535100
72662362553624440
oct316272241363054
955181175452170
1014181219034668
114578248494634
1217104b968a490
137bb38b2c588a
14370536110820
15198d45651e13
hexce5d285e62c

14181219034668 has 72 divisors (see below), whose sum is σ = 40987192413440. Its totient is φ = 4049875363680.

The previous prime is 14181219034637. The next prime is 14181219034733. The reversal of 14181219034668 is 86643091218141.

14181219034668 is a `hidden beast` number, since 1 + 4 + 1 + 81 + 219 + 0 + 346 + 6 + 8 = 666.

14181219034668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×141812190346682 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12666808 + ... + 13740831.

Almost surely, 214181219034668 is an apocalyptic number.

14181219034668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14181219034668 is an abundant number, since it is smaller than the sum of its proper divisors (26805973378772).

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

14181219034668 is a wasteful number, since it uses less digits than its factorization.

14181219034668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26409787 (or 26409782 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 14181219034668 in words is "fourteen trillion, one hundred eighty-one billion, two hundred nineteen million, thirty-four thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 2131 4262 6393 8524 12786 14917 19179 25572 29834 38358 44751 59668 76716 89502 134253 179004 268506 537012 26407639 52815278 79222917 105630556 158445834 184853473 237668751 316891668 369706946 475337502 554560419 739413892 950675004 1109120838 1663681257 2218241676 3327362514 6654725028 56274678709 112549357418 168824036127 225098714836 337648072254 393922750963 506472108381 675296144508 787845501926 1012944216762 1181768252889 1575691003852 2025888433524 2363536505778 3545304758667 4727073011556 7090609517334 14181219034668