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39421705401 = 3413216972
BaseRepresentation
bin100100101101101101…
…110111110010111001
310202202100220010110000
4210231231313302321
51121213424033101
630035435543213
72563622652501
oct445555676271
9122670803400
1039421705401
111579a585821
1277822bab09
133943316400
141c9d874a01
15105ad55486
hex92db77cb9

39421705401 has 45 divisors (see below), whose sum is σ = 63805209501. Its totient is φ = 24245215488.

The previous prime is 39421705373. The next prime is 39421705409. The reversal of 39421705401 is 10450712493.

The square root of 39421705401 is 198549.

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

39421705401 is a `hidden beast` number, since 3 + 9 + 42 + 1 + 70 + 540 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1560329001 + 37861376400 = 39501^2 + 194580^2 .

It is not a de Polignac number, because 39421705401 - 213 = 39421697209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (39421705409) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 23229385 + ... + 23231081.

Almost surely, 239421705401 is an apocalyptic number.

39421705401 is the 198549-th square number.

39421705401 is the 99275-th centered octagonal number.

It is an amenable number.

39421705401 is a deficient number, since it is larger than the sum of its proper divisors (24383504100).

39421705401 is an frugal number, since it uses more digits than its factorization.

39421705401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3432 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Multiplying 39421705401 by its sum of digits (36), we get a square (1419181394436 = 11912942).

The spelling of 39421705401 in words is "thirty-nine billion, four hundred twenty-one million, seven hundred five thousand, four hundred one".

Divisors: 1 3 9 13 27 39 81 117 169 351 507 1053 1521 1697 4563 5091 13689 15273 22061 45819 66183 137457 198549 286793 595647 860379 1786941 2581137 2879809 7743411 8639427 23230233 25918281 37437517 77754843 112312551 233264529 336937653 486687721 1010812959 1460063163 3032438877 4380189489 13140568467 39421705401