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40114133141104 = 24111361167465989
BaseRepresentation
bin10010001111011110011001…
…01010000000011001110000
312021000212120220120022101201
421013233030222000121300
520224212221041003404
6221152102305340544
711310102420533161
oct1107571452003160
9167025526508351
1040114133141104
1111866343426280
1245ba47a037754
13194c992161499
149c976a58d768
154986d9ad8ca4
hex247bcca80670

40114133141104 has 40 divisors (see below), whose sum is σ = 84848988357360. Its totient is φ = 18220299494400.

The previous prime is 40114133141059. The next prime is 40114133141123.

40114133141104 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83493459 + ... + 83972530.

It is an arithmetic number, because the mean of its divisors is an integer number (2121224708934).

Almost surely, 240114133141104 is an apocalyptic number.

40114133141104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40114133141104 is an abundant number, since it is smaller than the sum of its proper divisors (44734855216256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40114133141104 is a wasteful number, since it uses less digits than its factorization.

40114133141104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167467369 (or 167467363 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

It can be divided in two parts, 4011413 and 3141104, that added together give a palindrome (7152517).

The spelling of 40114133141104 in words is "forty trillion, one hundred fourteen billion, one hundred thirty-three million, one hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 176 1361 2722 5444 10888 14971 21776 29942 59884 119768 239536 167465989 334931978 669863956 1339727912 1842125879 2679455824 3684251758 7368503516 14737007032 29474014064 227921211029 455842422058 911684844116 1823369688232 2507133321319 3646739376464 5014266642638 10028533285276 20057066570552 40114133141104