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145415303514541 = 2573553715921949
BaseRepresentation
bin100001000100000100100011…
…100000101100100110101101
3201001212120022112012010101001
4201010010203200230212231
5123024441020144431131
61233134511311120301
742425623531466554
oct4104044340544655
9631776275163331
10145415303514541
1142374313957085
1214386562b13091
13631a7b17ba738
1427ca1d14a6d9b
1511c28bbdc1261
hex84412382c9ad

145415303514541 has 8 divisors (see below), whose sum is σ = 145985238847800. Its totient is φ = 144845400096768.

The previous prime is 145415303514497. The next prime is 145415303514571.

145415303514541 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 133329744922500 + 12085558592041 = 11546850^2 + 3476429^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 145415303514541 - 231 = 145413156030893 is a prime.

It is a super-2 number, since 2×1454153035145412 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 145415303514491 and 145415303514500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145415303514571) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1172035 + ... + 17093983.

It is an arithmetic number, because the mean of its divisors is an integer number (18248154855975).

Almost surely, 2145415303514541 is an apocalyptic number.

It is an amenable number.

145415303514541 is a deficient number, since it is larger than the sum of its proper divisors (569935333259).

145415303514541 is a wasteful number, since it uses less digits than its factorization.

145415303514541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15957743.

The product of its (nonzero) digits is 1440000, while the sum is 46.

The spelling of 145415303514541 in words is "one hundred forty-five trillion, four hundred fifteen billion, three hundred three million, five hundred fourteen thousand, five hundred forty-one".

Divisors: 1 257 35537 9133009 15921949 4091940893 565818301613 145415303514541