Search a number
-
+
141114420144 = 2432991988861
BaseRepresentation
bin1000001101101100010…
…0110010101110110000
3111111020111200021210100
42003123010302232300
54303000242421034
6144454351432400
713123642531425
oct2033304625660
9444214607710
10141114420144
1154934458525
1223422b25700
13103cb7213b9
146b89641d4c
153a0d9a5099
hex20db132bb0

141114420144 has 60 divisors (see below), whose sum is σ = 395323294912. Its totient is φ = 46990627200.

The previous prime is 141114420127. The next prime is 141114420203. The reversal of 141114420144 is 441024411141.

141114420144 is a `hidden beast` number, since 1 + 411 + 1 + 4 + 4 + 201 + 44 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 351727 + ... + 637134.

Almost surely, 2141114420144 is an apocalyptic number.

It is an amenable number.

141114420144 is an abundant number, since it is smaller than the sum of its proper divisors (254208874768).

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

141114420144 is a wasteful number, since it uses less digits than its factorization.

141114420144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989866 (or 989857 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 141114420144 its reverse (441024411141), we get a palindrome (582138831285).

The spelling of 141114420144 in words is "one hundred forty-one billion, one hundred fourteen million, four hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 991 1982 2973 3964 5946 7928 8919 11892 15856 17838 23784 35676 47568 71352 142704 988861 1977722 2966583 3955444 5933166 7910888 8899749 11866332 15821776 17799498 23732664 35598996 47465328 71197992 142395984 979961251 1959922502 2939883753 3919845004 5879767506 7839690008 8819651259 11759535012 15679380016 17639302518 23519070024 35278605036 47038140048 70557210072 141114420144