Search a number
-
+
141354717354361 = 72192893932
BaseRepresentation
bin100000001000111110110101…
…101101110001100101111001
3200112111101020021221121002101
4200020332311231301211321
5122011423430120314421
61220345243301303401
741526353445561100
oct4010766555614571
9615441207847071
10141354717354361
1141049220922655
1213a2b5a8a04b61
1360b49009a37a4
1426c98678d1037
151151e61ecb191
hex808fb5b71979

141354717354361 has 27 divisors (see below), whose sum is σ = 173544843556431. Its totient is φ = 114782997720384.

The previous prime is 141354717354283. The next prime is 141354717354421. The reversal of 141354717354361 is 163453717453141.

It is a happy number.

The square root of 141354717354361 is 11889269.

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

It can be written as a sum of positive squares in only one way, i.e., 19988007932025 + 121366709422336 = 4470795^2 + 11016656^2 .

It is not a de Polignac number, because 141354717354361 - 211 = 141354717352313 is a prime.

It is a super-2 number, since 2×1413547173543612 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (141354717354061) 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, 1581228081 + ... + 1581317473.

Almost surely, 2141354717354361 is an apocalyptic number.

141354717354361 is the 11889269-th square number.

141354717354361 is the 5944635-th centered octagonal number.

It is an amenable number.

141354717354361 is a deficient number, since it is larger than the sum of its proper divisors (32190126202070).

141354717354361 is an frugal number, since it uses more digits than its factorization.

141354717354361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178838 (or 89419 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 55.

The spelling of 141354717354361 in words is "one hundred forty-one trillion, three hundred fifty-four billion, seven hundred seventeen million, three hundred fifty-four thousand, three hundred sixty-one".

Divisors: 1 7 19 49 133 361 931 2527 17689 89393 625751 1698467 4380257 11889269 32270873 83224883 225896111 1581272777 7991108449 55937759143 151831060531 391564314001 1062817423717 2884790150089 7439721966019 20193531050623 141354717354361