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145011523255541 = 1575693505346309
BaseRepresentation
bin100000111110001100100000…
…010101001111110011110101
3201000102222002101101200220122
4200332030200111033303311
5123001332044423134131
61232225212450541325
742354510505066355
oct4076144025176365
9630388071350818
10145011523255541
1142229050487198
1214320255897845
1362bb6b2c37567
1427b4849230b65
1511b71386aad7b
hex83e32054fcf5

145011523255541 has 16 divisors (see below), whose sum is σ = 146198967644400. Its totient is φ = 143827443721728.

The previous prime is 145011523255523. The next prime is 145011523255559. The reversal of 145011523255541 is 145552325110541.

145011523255541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (145011523255523) and next prime (145011523255559).

It can be written as a sum of positive squares in 8 ways, for example, as 12767365191025 + 132244158064516 = 3573145^2 + 11499746^2 .

It is a cyclic number.

It is not a de Polignac number, because 145011523255541 - 222 = 145011519061237 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 145011523255492 and 145011523255501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145011523255441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3131366495 + ... + 3131412803.

It is an arithmetic number, because the mean of its divisors is an integer number (9137435477775).

Almost surely, 2145011523255541 is an apocalyptic number.

It is an amenable number.

145011523255541 is a deficient number, since it is larger than the sum of its proper divisors (1187444388859).

145011523255541 is a wasteful number, since it uses less digits than its factorization.

145011523255541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82088.

The product of its (nonzero) digits is 600000, while the sum is 44.

The spelling of 145011523255541 in words is "one hundred forty-five trillion, eleven billion, five hundred twenty-three million, two hundred fifty-five thousand, five hundred forty-one".

Divisors: 1 157 569 35053 46309 89333 5503321 7270513 19945157 26349821 1623269377 3131389649 4136921897 254853292189 923640275513 145011523255541