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10340511441 = 313617735623
BaseRepresentation
bin10011010000101011…
…11010111011010001
3222200122111102000020
421220111322323101
5132134132331231
64430025014053
7514150616451
oct115025727321
928618442006
1010340511441
114426a49327
122007024329
13c8a400830
1470147dd61
15407c20396
hex26857aed1

10340511441 has 32 divisors (see below), whose sum is σ = 15113532672. Its totient is φ = 6249864960.

The previous prime is 10340511383. The next prime is 10340511457. The reversal of 10340511441 is 14411504301.

It is a happy number.

It is not a de Polignac number, because 10340511441 - 210 = 10340510417 is a prime.

It is a super-2 number, since 2×103405114412 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10340511481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1836156 + ... + 1841778.

It is an arithmetic number, because the mean of its divisors is an integer number (472297896).

Almost surely, 210340511441 is an apocalyptic number.

It is an amenable number.

10340511441 is a deficient number, since it is larger than the sum of its proper divisors (4773021231).

10340511441 is a wasteful number, since it uses less digits than its factorization.

10340511441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6473.

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 10340511441 in words is "ten billion, three hundred forty million, five hundred eleven thousand, four hundred forty-one".

Divisors: 1 3 13 39 61 183 773 793 2319 2379 5623 10049 16869 30147 47153 73099 141459 219297 343003 612989 1029009 1838967 4346579 4459039 13039737 13377117 56505527 169516581 265141319 795423957 3446837147 10340511441