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541420152141401 = 1329127289040097
BaseRepresentation
bin111101100011010110011001…
…1110101111011011001011001
32122000000021001022022022020022
41323012230303311323121121
51031431111432422011101
65155300552331040225
7222020213044164341
oct17306546365733131
92560007038268208
10541420152141401
11147570aa70a9245
1250882a295a0075
131a31491690b730
14979ac3770bd21
15428d8a9a49a1b
hex1ec6b33d7b659

541420152141401 has 24 divisors (see below), whose sum is σ = 607960446738120. Its totient is φ = 478739391040512.

The previous prime is 541420152141391. The next prime is 541420152141493. The reversal of 541420152141401 is 104141251024145.

It can be written as a sum of positive squares in 4 ways, for example, as 130682644585801 + 410737507555600 = 11431651^2 + 20266660^2 .

It is not a de Polignac number, because 541420152141401 - 222 = 541420147947097 is a prime.

It is a super-2 number, since 2×5414201521414012 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (541420152141301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38439416 + ... + 50600681.

It is an arithmetic number, because the mean of its divisors is an integer number (25331685280755).

Almost surely, 2541420152141401 is an apocalyptic number.

It is an amenable number.

541420152141401 is a deficient number, since it is larger than the sum of its proper divisors (66540294596719).

541420152141401 is a wasteful number, since it uses less digits than its factorization.

541420152141401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89040393 (or 89040266 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 35.

The spelling of 541420152141401 in words is "five hundred forty-one trillion, four hundred twenty billion, one hundred fifty-two million, one hundred forty-one thousand, four hundred one".

Divisors: 1 13 29 127 377 1651 3683 16129 47879 209677 467741 6080633 89040097 1157521261 2582162813 11308092319 33568116569 147005200147 327934677251 1436127724513 4263150804263 18669660418669 41647704010877 541420152141401