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741439822761 = 321129722692
BaseRepresentation
bin10101100101000010100…
…00011101101110101001
32121212210012211111202100
422302201100131232221
544121432043312021
61324340204324013
7104365366336221
oct12624120355651
92555705744670
10741439822761
112664964a5900
12bb842843609
1354bc0901c21
1427c58bcd081
151444719d626
hexaca141dba9

741439822761 has 81 divisors (see below), whose sum is σ = 1193879543493. Its totient is φ = 443071664640.

The previous prime is 741439822729. The next prime is 741439822769. The reversal of 741439822761 is 167228934147.

The square root of 741439822761 is 861069.

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

741439822761 is a `hidden beast` number, since 74 + 1 + 439 + 82 + 2 + 7 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 220669760025 + 520770062736 = 469755^2 + 721644^2 .

It is not a de Polignac number, because 741439822761 - 25 = 741439822729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 741439822698 and 741439822707.

It is not an unprimeable number, because it can be changed into a prime (741439822769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2756281735 + ... + 2756282003.

Almost surely, 2741439822761 is an apocalyptic number.

741439822761 is the 861069-th square number.

741439822761 is the 430535-th centered octagonal number.

It is an amenable number.

741439822761 is a deficient number, since it is larger than the sum of its proper divisors (452439720732).

741439822761 is an equidigital number, since it uses as much as digits as its factorization.

741439822761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 380 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 741439822761 in words is "seven hundred forty-one billion, four hundred thirty-nine million, eight hundred twenty-two thousand, seven hundred sixty-one".

Divisors: 1 3 9 11 33 97 99 121 269 291 363 807 873 1067 1089 2421 2959 3201 8877 9409 9603 11737 26093 26631 28227 32549 35211 72361 78279 84681 97647 103499 105633 217083 234837 287023 292941 310497 651249 795971 861069 931491 1138489 2387913 2531021 2583207 3157253 3415467 7019017 7163739 7593063 8755681 9471759 10246401 21057051 22779189 26267043 27841231 28415277 63171153 77209187 78801129 83523693 231627561 250571079 306253541 680844649 694882683 849301057 918760623 2042533947 2547903171 2756281869 6127601841 7489291139 7643709513 22467873417 67403620251 82382202529 247146607587 741439822761