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305350001462441 = 13241337289206221
BaseRepresentation
bin100010101101101101101011…
…0010111101000110010101001
31111001011011201121120012201202
41011123123112113220302221
5310010323300333244231
63001231504254453545
7121213544455541165
oct10533332627506251
91431134647505652
10305350001462441
1189326232405061
122a2b6a618042b5
131014c4c645a240
145559039d11ca5
152547cc32c25cb
hex115b6d65e8ca9

305350001462441 has 16 divisors (see below), whose sum is σ = 331182769885968. Its totient is φ = 279859074969600.

The previous prime is 305350001462423. The next prime is 305350001462491. The reversal of 305350001462441 is 144264100053503.

It can be written as a sum of positive squares in 8 ways, for example, as 8370403717225 + 296979597745216 = 2893165^2 + 17233096^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-305350001462441 is a prime.

It is a super-2 number, since 2×3053500014624412 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 305350001462395 and 305350001462404.

It is not an unprimeable number, because it can be changed into a prime (305350001462491) 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, 143547290 + ... + 145658931.

It is an arithmetic number, because the mean of its divisors is an integer number (20698923117873).

Almost surely, 2305350001462441 is an apocalyptic number.

It is an amenable number.

305350001462441 is a deficient number, since it is larger than the sum of its proper divisors (25832768423527).

305350001462441 is a wasteful number, since it uses less digits than its factorization.

305350001462441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289206812.

The product of its (nonzero) digits is 172800, while the sum is 38.

The spelling of 305350001462441 in words is "three hundred five trillion, three hundred fifty billion, one million, four hundred sixty-two thousand, four hundred forty-one".

Divisors: 1 13 241 337 3133 4381 81217 1055821 289206221 3759680873 69698699261 97462496477 906083090393 1267012454201 23488461650957 305350001462441