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141402324042 = 23274733770853
BaseRepresentation
bin1000001110110000111…
…1000011110001001010
3111111222120102022200200
42003230033003301022
54304042443332132
6144543114313030
713134036631410
oct2035417036112
9444876368620
10141402324042
1154a71a1aa31
12234a3428776
1310446275535
146bb59872b0
153a28dc4d7c
hex20ec3c3c4a

141402324042 has 96 divisors (see below), whose sum is σ = 358655012352. Its totient is φ = 39423186432.

The previous prime is 141402324031. The next prime is 141402324047. The reversal of 141402324042 is 240423204141.

141402324042 is a `hidden beast` number, since 1 + 414 + 0 + 2 + 3 + 240 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 141402323997 and 141402324015.

It is not an unprimeable number, because it can be changed into a prime (141402324047) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1960288 + ... + 2031140.

It is an arithmetic number, because the mean of its divisors is an integer number (3735989712).

Almost surely, 2141402324042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141402324042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179327506176).

141402324042 is an abundant number, since it is smaller than the sum of its proper divisors (217252688310).

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

141402324042 is a wasteful number, since it uses less digits than its factorization.

141402324042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71252 (or 71249 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 141402324042 its reverse (240423204141), we get a palindrome (381825528183).

The spelling of 141402324042 in words is "one hundred forty-one billion, four hundred two million, three hundred twenty-four thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 63 94 126 141 282 329 337 423 658 674 846 987 1011 1974 2022 2359 2961 3033 4718 5922 6066 7077 14154 15839 21231 31678 42462 47517 70853 95034 110873 141706 142551 212559 221746 285102 332619 425118 495971 637677 665238 991942 997857 1275354 1487913 1995714 2975826 3330091 4463739 6660182 8927478 9990273 19980546 23310637 23877461 29970819 46621274 47754922 59941638 69931911 71632383 139863822 143264766 167142227 209795733 214897149 334284454 419591466 429794298 501426681 1002853362 1122240667 1504280043 2244481334 3008560086 3366722001 6733444002 7855684669 10100166003 15711369338 20200332006 23567054007 47134108014 70701162021 141402324042