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4114044110 = 2511291011132
BaseRepresentation
bin1111010100110111…
…0101010011001110
3101121201022002120002
43311031311103032
531411143402420
61520122124302
7203643540461
oct36515652316
911551262502
104114044110
1118212a8260
12969950692
13507441737
142b055d2d8
151912a1075
hexf53754ce

4114044110 has 96 divisors (see below), whose sum is σ = 8515147680. Its totient is φ = 1417472000.

The previous prime is 4114044101. The next prime is 4114044119. The reversal of 4114044110 is 114404114.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4114044101) and next prime (4114044119).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114044119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36407414 + ... + 36407526.

It is an arithmetic number, because the mean of its divisors is an integer number (88699455).

Almost surely, 24114044110 is an apocalyptic number.

4114044110 is an abundant number, since it is smaller than the sum of its proper divisors (4401103570).

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

4114044110 is a wasteful number, since it uses less digits than its factorization.

4114044110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 4114044110 is about 64140.8146970398. The cubic root of 4114044110 is about 1602.3460518338.

Adding to 4114044110 its reverse (114404114), we get a palindrome (4228448224).

It can be divided in two parts, 411404 and 4110, that added together give a palindrome (415514).

The spelling of 4114044110 in words is "four billion, one hundred fourteen million, forty-four thousand, one hundred ten".

Divisors: 1 2 5 10 11 22 29 55 58 101 110 113 145 202 226 290 319 505 565 638 1010 1111 1130 1243 1595 2222 2486 2929 3190 3277 5555 5858 6215 6554 11110 11413 12430 12769 14645 16385 22826 25538 29290 32219 32770 36047 57065 63845 64438 72094 114130 125543 127690 140459 161095 180235 251086 280918 322190 330977 360470 370301 627715 661954 702295 740602 1255430 1289669 1404590 1654885 1851505 2579338 3309770 3640747 3703010 4073311 6448345 7281494 8146622 12896690 14186359 18203735 20366555 28372718 36407470 37400401 40733110 70931795 74800802 141863590 187002005 374004010 411404411 822808822 2057022055 4114044110