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14108121942084 = 2236695572
BaseRepresentation
bin1100110101001100110110…
…0110001100100001000100
31211221201112021102201000000
43031103031212030201010
53322121413204121314
650001103131321300
72654164261606362
oct315231546144104
954851467381000
1014108121942084
11454a248047015
1216ba2b95b0230
137b450c330681
1436aba005a632
15196eb81be209
hexcd4cd98c844

14108121942084 has 63 divisors (see below), whose sum is σ = 37017418669357. Its totient is φ = 4702639704624.

The previous prime is 14108121942043. The next prime is 14108121942091. The reversal of 14108121942084 is 48024912180141.

The square root of 14108121942084 is 3756078.

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

14108121942084 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 8 + 1 + 219 + 420 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10314695722500 + 3793426219584 = 3211650^2 + 1947672^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 202793434 + ... + 202862990.

Almost surely, 214108121942084 is an apocalyptic number.

14108121942084 is the 3756078-th square number.

It is an amenable number.

14108121942084 is an abundant number, since it is smaller than the sum of its proper divisors (22909296727273).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14108121942084 is an frugal number, since it uses more digits than its factorization.

14108121942084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139136 (or 69562 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 14108121942084 in words is "fourteen trillion, one hundred eight billion, one hundred twenty-one million, nine hundred forty-two thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 69557 139114 208671 278228 417342 626013 834684 1252026 1878039 2504052 3756078 5634117 7512156 11268234 16902351 22536468 33804702 50707053 67609404 101414106 202828212 4838176249 9676352498 14514528747 19352704996 29029057494 43543586241 58058114988 87087172482 130630758723 174174344964 261261517446 391892276169 522523034892 783784552338 1175676828507 1567569104676 2351353657014 3527030485521 4702707314028 7054060971042 14108121942084