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141519668481 = 36139332
BaseRepresentation
bin1000001111001100111…
…0101100010100000001
3111112021202020001000000
42003303032230110001
54304313013342411
6145002505350213
713136663222442
oct2036316542401
9445252201000
10141519668481
1155022188604
1223516798369
131046467c809
146bc73b12c9
153a34353956
hex20f33ac501

141519668481 has 21 divisors (see below), whose sum is σ = 212197668339. Its totient is φ = 94339674216.

The previous prime is 141519668461. The next prime is 141519668489. The reversal of 141519668481 is 184866915141.

The square root of 141519668481 is 376191.

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

141519668481 is a `hidden beast` number, since 1 + 4 + 15 + 1 + 96 + 68 + 481 = 666.

It can be written as a sum of positive squares in only one way, i.e., 141154247025 + 365421456 = 375705^2 + 19116^2 .

It is not a de Polignac number, because 141519668481 - 229 = 140982797569 is a prime.

It is a super-2 number, since 2×1415196684812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (141519668489) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 10150191 + ... + 10164123.

Almost surely, 2141519668481 is an apocalyptic number.

141519668481 is the 376191-st square number.

141519668481 is the 188096-th centered octagonal number.

It is an amenable number.

141519668481 is a deficient number, since it is larger than the sum of its proper divisors (70677999858).

141519668481 is an frugal number, since it uses more digits than its factorization.

141519668481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27884 (or 13936 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

It can be divided in two parts, 141519 and 668481, that added together give a 4-th power (810000 = 304).

The spelling of 141519668481 in words is "one hundred forty-one billion, five hundred nineteen million, six hundred sixty-eight thousand, four hundred eighty-one".

Divisors: 1 3 9 27 81 243 729 13933 41799 125397 376191 1128573 3385719 10157157 194128489 582385467 1747156401 5241469203 15724407609 47173222827 141519668481