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31426063033041 = 33431011129923719
BaseRepresentation
bin1110010010100111100110…
…10100101110001011010001
311010021022011100212210222000
413021103303110232023101
513104341034114024131
6150500533431104213
76422313065230305
oct711236324561321
9133238140783860
1031426063033041
11a01679a340876
1236366b8b12069
13146c607889161
147a905b1b7d05
153976e60ddce6
hex1c94f352e2d1

31426063033041 has 64 divisors (see below), whose sum is σ = 48117822720000. Its totient is φ = 20258226878400.

The previous prime is 31426063033007. The next prime is 31426063033073. The reversal of 31426063033041 is 14033036062413.

31426063033041 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 606 + 3 + 0 + 3 + 3 + 0 + 41 = 666.

It is not a de Polignac number, because 31426063033041 - 231 = 31423915549393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31426063032987 and 31426063033005.

It is not an unprimeable number, because it can be changed into a prime (31426063023041) 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 63 ways as a sum of consecutive naturals, for example, 1324920180 + ... + 1324943898.

It is an arithmetic number, because the mean of its divisors is an integer number (751840980000).

Almost surely, 231426063033041 is an apocalyptic number.

It is an amenable number.

31426063033041 is a deficient number, since it is larger than the sum of its proper divisors (16691759686959).

31426063033041 is a wasteful number, since it uses less digits than its factorization.

31426063033041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35171 (or 35165 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 31426063033041 its reverse (14033036062413), we get a palindrome (45459099095454).

The spelling of 31426063033041 in words is "thirty-one trillion, four hundred twenty-six billion, sixty-three million, thirty-three thousand, forty-one".

Divisors: 1 3 9 27 43 101 129 303 387 909 1161 2727 4343 11299 13029 23719 33897 39087 71157 101691 117261 213471 305073 485857 640413 1019917 1141199 1457571 2395619 3059751 3423597 4372713 7186857 9179253 10270791 13118139 21560571 27537759 30812373 49071557 64681713 103011617 147214671 268000981 309034851 441644013 804002943 927104553 1324932039 2412008829 2781313659 7236026487 11524042183 27068099081 34572126549 81204297243 103716379647 243612891729 311149138941 730838675187 1163928260483 3491784781449 10475354344347 31426063033041