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421874931361 = 13217229392
BaseRepresentation
bin1100010001110011011…
…01001001011010100001
31111022221012010000112211
412020321231021122201
523402444440300421
6521450123522121
742323311515052
oct6107155113241
91438835100484
10421874931361
11152a09445074
1269919089341
1330a235b0300
14165c14a8729
15ae9206e9e1
hex6239b496a1

421874931361 has 27 divisors (see below), whose sum is σ = 485440975641. Its totient is φ = 366391069824.

The previous prime is 421874931277. The next prime is 421874931367. The reversal of 421874931361 is 163139478124.

The square root of 421874931361 is 649519.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3809234961 + 418065696400 = 61719^2 + 646580^2 .

It is not a de Polignac number, because 421874931361 - 29 = 421874930849 is a prime.

It is a super-2 number, since 2×4218749313612 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (421874931367) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 143542230 + ... + 143545168.

Almost surely, 2421874931361 is an apocalyptic number.

421874931361 is the 649519-th square number.

421874931361 is the 324760-th centered octagonal number.

It is an amenable number.

421874931361 is a deficient number, since it is larger than the sum of its proper divisors (63566044280).

421874931361 is an frugal number, since it uses more digits than its factorization.

421874931361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5938 (or 2969 counting only the distinct ones).

The product of its digits is 870912, while the sum is 49.

Multiplying 421874931361 by its sum of digits (49), we get a square (20671871636689 = 45466332).

The spelling of 421874931361 in words is "four hundred twenty-one billion, eight hundred seventy-four million, nine hundred thirty-one thousand, three hundred sixty-one".

Divisors: 1 13 17 169 221 289 2873 2939 3757 38207 48841 49963 496691 649519 849371 8443747 8637721 11041823 112290373 143543699 146841257 1459774849 1908936341 2496301369 24816172433 32451917797 421874931361