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1342235785401 = 327243212832
BaseRepresentation
bin10011100010000011011…
…111001011100010111001
311202022112201102122201100
4103202003133023202321
5133442344330113101
62504340431042013
7165654565634100
oct23420337134271
94668481378640
101342235785401
1147826a121965
12198174070309
139975942a734
1448d70a6b037
1524dabd46e86
hex138837cb8b9

1342235785401 has 81 divisors (see below), whose sum is σ = 2310791522949. Its totient is φ = 748570948272.

The previous prime is 1342235785379. The next prime is 1342235785441. The reversal of 1342235785401 is 1045875322431.

The square root of 1342235785401 is 1158549.

It is a perfect power (a square), and thus also a powerful number.

1342235785401 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 2 + 35 + 78 + 540 + 1 = 666.

It is not a de Polignac number, because 1342235785401 - 25 = 1342235785369 is a prime.

It is a super-2 number, since 2×13422357854012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1342235785441) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1046169106 + ... + 1046170388.

Almost surely, 21342235785401 is an apocalyptic number.

1342235785401 is the 1158549-th square number.

1342235785401 is the 579275-th centered octagonal number.

It is an amenable number.

1342235785401 is a deficient number, since it is larger than the sum of its proper divisors (968555737548).

1342235785401 is an frugal number, since it uses more digits than its factorization.

1342235785401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 1342235785401 in words is "one trillion, three hundred forty-two billion, two hundred thirty-five million, seven hundred eighty-five thousand, four hundred one".

Divisors: 1 3 7 9 21 43 49 63 129 147 301 387 441 903 1283 1849 2107 2709 3849 5547 6321 8981 11547 12943 16641 18963 26943 38829 55169 62867 80829 90601 116487 165507 188601 271803 386183 496521 565803 815409 1158549 1646089 2372267 2703281 3475647 4938267 7116801 8109843 11522623 14814801 16605869 21350403 24329529 34567869 49817607 70781827 80658361 103703607 116241083 149452821 212345481 241975083 348723249 495472789 637036443 725925249 1046169747 1486418367 3043618561 3468309523 4459255101 9130855683 10404928569 21305329927 27392567049 31214785707 63915989781 149137309489 191747969343 447411928467 1342235785401