Search a number
-
+
141403401022221 = 3313829394857289
BaseRepresentation
bin100000001001101100001011…
…011111001110101100001101
3200112200000220010212011111000
4200021230023133032230031
5122013223131130202341
61220423454201250513
741533026045121602
oct4011541337165415
9615600803764430
10141403401022221
11410679335528a8
1213a38b14a93a39
1360b938bb0a750
1426cbd6548c6a9
1511533610068b6
hex809b0b7ceb0d

141403401022221 has 32 divisors (see below), whose sum is σ = 225603634256000. Its totient is φ = 87016410463104.

The previous prime is 141403401022193. The next prime is 141403401022229. The reversal of 141403401022221 is 122220104304141.

141403401022221 is a `hidden beast` number, since 1 + 4 + 1 + 403 + 4 + 0 + 10 + 22 + 221 = 666.

It is not a de Polignac number, because 141403401022221 - 26 = 141403401022157 is a prime.

It is a super-3 number, since 3×1414034010222213 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141403401022229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26682945 + ... + 31540233.

It is an arithmetic number, because the mean of its divisors is an integer number (7050113570500).

Almost surely, 2141403401022221 is an apocalyptic number.

It is an amenable number.

141403401022221 is a deficient number, since it is larger than the sum of its proper divisors (84200233233779).

141403401022221 is a wasteful number, since it uses less digits than its factorization.

141403401022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4940250 (or 4940244 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 141403401022221 its reverse (122220104304141), we get a palindrome (263623505326362).

The spelling of 141403401022221 in words is "one hundred forty-one trillion, four hundred three billion, four hundred one million, twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 13 27 39 117 351 82939 248817 746451 1078207 2239353 3234621 4857289 9703863 14571867 29111589 43715601 63144757 131146803 189434271 568302813 1704908439 402858692371 1208576077113 3625728231339 5237163000823 10877184694017 15711489002469 47134467007407 141403401022221