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214423637481 = 3423222372
BaseRepresentation
bin1100011110110010100…
…1010000110111101001
3202111110112220101110000
43013230221100313221
512003114422344411
6242301014413213
721330421563144
oct3075451206751
9674415811400
10214423637481
1182a3360a559
1235682061209
13172b2627601
14a54195305b
15589e889956
hex31eca50de9

214423637481 has 45 divisors (see below), whose sum is σ = 334993711591. Its totient is φ = 136672789968.

The previous prime is 214423637473. The next prime is 214423637489. The reversal of 214423637481 is 184736324412.

The square root of 214423637481 is 463059.

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

214423637481 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 2 + 3 + 637 + 4 + 8 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (214423637473) and next prime (214423637489).

It can be written as a sum of positive squares in only one way, i.e., 170540091225 + 43883546256 = 412965^2 + 209484^2 .

It is not a de Polignac number, because 214423637481 - 23 = 214423637473 is a prime.

It is a super-2 number, since 2×2144236374812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214423637489) 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, 95852095 + ... + 95854331.

Almost surely, 2214423637481 is an apocalyptic number.

214423637481 is the 463059-th square number.

214423637481 is the 231530-th centered octagonal number.

It is an amenable number.

214423637481 is a deficient number, since it is larger than the sum of its proper divisors (120570074110).

214423637481 is an frugal number, since it uses more digits than its factorization.

214423637481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4532 (or 2263 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 214423637481 in words is "two hundred fourteen billion, four hundred twenty-three million, six hundred thirty-seven thousand, four hundred eighty-one".

Divisors: 1 3 9 23 27 69 81 207 529 621 1587 1863 2237 4761 6711 14283 20133 42849 51451 60399 154353 181197 463059 1183373 1389177 3550119 4167531 5004169 10650357 15012507 31951071 45037521 95853213 115095887 135112563 345287661 405337689 1035862983 2647205401 3107588949 7941616203 9322766847 23824848609 71474545827 214423637481