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41122222114 = 2172312101733
BaseRepresentation
bin100110010011000100…
…110101000000100010
310221010212201022211111
4212103010311000202
51133204242101424
630520303533534
72654022056251
oct462304650042
9127125638744
1041122222114
1116492471136
127b778ba2aa
133b54713c0c
141dc1652798
15110a2ac194
hex993135022

41122222114 has 72 divisors (see below), whose sum is σ = 68470754004. Its totient is φ = 18516672000.

The previous prime is 41122222069. The next prime is 41122222153.

41122222114 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 40514846089 + 607376025 = 201283^2 + 24645^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56100892 + ... + 56101624.

Almost surely, 241122222114 is an apocalyptic number.

41122222114 is a deficient number, since it is larger than the sum of its proper divisors (27348531890).

41122222114 is a wasteful number, since it uses less digits than its factorization.

41122222114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 884 counting only the distinct ones).

The product of its digits is 512, while the sum is 22.

The spelling of 41122222114 in words is "forty-one billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred fourteen".

Divisors: 1 2 17 31 34 62 101 202 289 527 578 733 961 1054 1466 1717 1922 3131 3434 6262 8959 12461 16337 17918 22723 24922 29189 32674 45446 53227 58378 74033 97061 106454 148066 194122 211837 277729 386291 423674 555458 704413 772582 904859 1258561 1408826 1650037 1809718 2295023 2517122 3300074 4590046 6566947 11975021 13133894 21395537 23950042 28050629 39015391 42791074 56101258 71145713 78030782 142291426 203575357 407150714 663261647 1209477121 1326523294 2418954242 20561111057 41122222114