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4041412141404 = 2231191841333367
BaseRepresentation
bin111010110011110110111…
…011110110000101011100
3112022100120221221110021010
4322303312323312011130
51012203303002011104
612332333223535220
7564660650255211
oct72636673660534
915270527843233
104041412141404
111318a53881420
125533048ba510
132341465bac11
14dd86929db08
15701d6934489
hex3acf6ef615c

4041412141404 has 48 divisors (see below), whose sum is σ = 10287373775616. Its totient is φ = 1224653337600.

The previous prime is 4041412141391. The next prime is 4041412141427.

4041412141404 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 15 ways as a sum of consecutive naturals, for example, 11956329 + ... + 12289695.

It is an arithmetic number, because the mean of its divisors is an integer number (214320286992).

Almost surely, 24041412141404 is an apocalyptic number.

4041412141404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4041412141404 is an abundant number, since it is smaller than the sum of its proper divisors (6245961634212).

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

4041412141404 is a wasteful number, since it uses less digits than its factorization.

4041412141404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425226 (or 425224 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The spelling of 4041412141404 in words is "four trillion, forty-one billion, four hundred twelve million, one hundred forty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 91841 183682 275523 333367 367364 551046 666734 1000101 1010251 1102092 1333468 2000202 2020502 3030753 3667037 4000404 4041004 6061506 7334074 11001111 12123012 14668148 22002222 44004444 30616758647 61233517294 91850275941 122467034588 183700551882 336784345117 367401103764 673568690234 1010353035351 1347137380468 2020706070702 4041412141404