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40121411412104 = 23111923996059457
BaseRepresentation
bin10010001111101011111100…
…11110011010000010001000
312021001120101010220210020022
421013311332132122002020
520224322122310141404
6221155304424120012
711310450656032151
oct1107657636320210
9167046333823208
1040121411412104
1111869438862a80
1245bb96b606008
131950581cc7b09
149c9c5b064928
154989b3a6d8be
hex247d7e79a088

40121411412104 has 32 divisors (see below), whose sum is σ = 86385814048800. Its totient is φ = 17277162808320.

The previous prime is 40121411412059. The next prime is 40121411412127.

40121411412104 is nontrivially palindromic in base 10.

40121411412104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11998028057 + ... + 11998031400.

It is an arithmetic number, because the mean of its divisors is an integer number (2699556689025).

Almost surely, 240121411412104 is an apocalyptic number.

40121411412104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40121411412104 is an abundant number, since it is smaller than the sum of its proper divisors (46264402636696).

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

40121411412104 is a wasteful number, since it uses less digits than its factorization.

40121411412104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23996059493 (or 23996059489 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

It can be divided in two parts, 4012141 and 1412104, that added together give a palindrome (5424245).

The spelling of 40121411412104 in words is "forty trillion, one hundred twenty-one billion, four hundred eleven million, four hundred twelve thousand, one hundred four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 1672 23996059457 47992118914 95984237828 191968475656 263956654027 455925129683 527913308054 911850259366 1055826616108 1823700518732 2111653232216 3647401037464 5015176426513 10030352853026 20060705706052 40121411412104