Search a number
-
+
1406143462064 = 2411211317119447
BaseRepresentation
bin10100011101100100101…
…011100111101010110000
311222102111120000000002212
4110131210223213222300
5141014240211241224
62553550130231252
7203406355135115
oct24354453475260
94872446000085
101406143462064
114a2384365270
121a862a725528
13a27a2622a23
144c0b44c090c
152689c684d0e
hex14764ae7ab0

1406143462064 has 80 divisors (see below), whose sum is σ = 2995606768896. Its totient is φ = 634114924800.

The previous prime is 1406143462063. The next prime is 1406143462091. The reversal of 1406143462064 is 4602643416041.

It is not an unprimeable number, because it can be changed into a prime (1406143462063) 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, 11712389 + ... + 11831835.

Almost surely, 21406143462064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406143462064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497803384448).

1406143462064 is an abundant number, since it is smaller than the sum of its proper divisors (1589463306832).

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

1406143462064 is a wasteful number, since it uses less digits than its factorization.

1406143462064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119994 (or 119988 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 41.

The spelling of 1406143462064 in words is "one trillion, four hundred six billion, one hundred forty-three million, four hundred sixty-two thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 211 317 422 634 844 1268 1688 2321 2536 3376 3487 4642 5072 6974 9284 13948 18568 27896 37136 55792 66887 119447 133774 238894 267548 477788 535096 735757 955576 1070192 1313917 1471514 1911152 2627834 2943028 5255668 5886056 10511336 11772112 21022672 25203317 37864699 50406634 75729398 100813268 151458796 201626536 277236487 302917592 403253072 416511689 554472974 605835184 833023378 1108945948 1666046756 2217891896 3332093512 4435783792 6664187024 7989451489 15978902978 31957805956 63915611912 87883966379 127831223824 175767932758 351535865516 703071731032 1406143462064