Search a number
-
+
14147134001 = 71113173722469
BaseRepresentation
bin11010010110011110…
…00010001000110001
31100111221022212110222
431023033002020301
5212433131242001
610255450102425
71010402440430
oct151317021061
940457285428
1014147134001
115aaa763190
1228a9a1aa15
131445c46410
14982c57117
1557bee861b
hex34b3c2231

14147134001 has 64 divisors (see below), whose sum is σ = 20656581120. Its totient is φ = 9317928960.

The previous prime is 14147133977. The next prime is 14147134007. The reversal of 14147134001 is 10043174141.

It is a cyclic number.

It is not a de Polignac number, because 14147134001 - 26 = 14147133937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14147134007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 618395 + ... + 640863.

It is an arithmetic number, because the mean of its divisors is an integer number (322759080).

Almost surely, 214147134001 is an apocalyptic number.

14147134001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14147134001 is a deficient number, since it is larger than the sum of its proper divisors (6509447119).

14147134001 is a wasteful number, since it uses less digits than its factorization.

14147134001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22554.

The product of its (nonzero) digits is 1344, while the sum is 26.

The spelling of 14147134001 in words is "fourteen billion, one hundred forty-seven million, one hundred thirty-four thousand, one".

Divisors: 1 7 11 13 17 37 77 91 119 143 187 221 259 407 481 629 1001 1309 1547 2431 2849 3367 4403 5291 6919 8177 17017 22469 37037 48433 57239 89947 157283 247159 292097 381973 629629 831353 1730113 2044679 2673811 3213067 4201703 4965649 5819471 9144883 10807589 14133001 22491469 29411921 34759543 54622139 64014181 75653123 98931007 118883479 155463011 183729013 382354973 832184353 1088241077 1286103091 2021019143 14147134001