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141403414313142 = 232239072081180959
BaseRepresentation
bin100000001001101100001100…
…010001111011100010110110
3200112200000221001212102012100
4200021230030101323202312
5122013223143031010032
61220423455354202530
741533026266105622
oct4011541421734266
9615600831772170
10141403414313142
1141067940000533
1213a38b19423446
1360b93917b21b7
1426cbd6714c182
15115336227e97c
hex809b0c47b8b6

141403414313142 has 96 divisors (see below), whose sum is σ = 320202715023360. Its totient is φ = 45013548602880.

The previous prime is 141403414313081. The next prime is 141403414313149. The reversal of 141403414313142 is 241313414304141.

141403414313142 is a `hidden beast` number, since 1 + 4 + 1 + 40 + 3 + 41 + 431 + 3 + 142 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 141403414313097 and 141403414313106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141403414313149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 781320859 + ... + 781501817.

It is an arithmetic number, because the mean of its divisors is an integer number (3335444948160).

Almost surely, 2141403414313142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141403414313142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160101357511680).

141403414313142 is an abundant number, since it is smaller than the sum of its proper divisors (178799300710218).

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

141403414313142 is a wasteful number, since it uses less digits than its factorization.

141403414313142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183978 (or 183975 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 141403414313142 its reverse (241313414304141), we get a palindrome (382716828617283).

Subtracting 141403414313142 from its reverse (241313414304141), we obtain a palindrome (99909999990999).

The spelling of 141403414313142 in words is "one hundred forty-one trillion, four hundred three billion, four hundred fourteen million, three hundred thirteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 907 1814 2081 2721 4162 5442 6243 8163 12486 16326 18729 20861 37458 41722 47863 62583 95726 125166 143589 180959 187749 287178 361918 375498 430767 542877 861534 1085754 1628631 1887467 3257262 3774934 4162057 5662401 8324114 11324802 12486171 16987203 24972342 33974406 37458513 43411741 74917026 86823482 130235223 164129813 260470446 328259626 376575679 390705669 492389439 753151358 781411338 984778878 1129727037 1477168317 2259454074 2954336634 3389181111 3774985699 6778362222 7549971398 8661240617 11324957097 17322481234 22649914194 25983721851 33974871291 51967443702 67949742582 77951165553 155902331106 341554140853 683108281706 1024662422559 2049324845118 3073987267677 6147974535354 7855745239619 15711490479238 23567235718857 47134471437714 70701707156571 141403414313142