Search a number
-
+
4104430103214 = 23271012271420807
BaseRepresentation
bin111011101110100011000…
…110010010101010101110
3112112101020210100121022200
4323232203012102222232
51014221333101300324
612421314341322330
7602351414145330
oct73564306225256
915471223317280
104104430103214
1113427518778a1
125635714063a6
1323a07a37b10c
141029268b3450
1571b740c7ec9
hex3bba3192aae

4104430103214 has 96 divisors (see below), whose sum is σ = 10309200984576. Its totient is φ = 1155967761600.

The previous prime is 4104430103153. The next prime is 4104430103269. The reversal of 4104430103214 is 4123010344014.

4104430103214 is a `hidden beast` number, since 4 + 1 + 0 + 4 + 430 + 10 + 3 + 214 = 666.

It is a Curzon number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2178399 + ... + 3599205.

It is an arithmetic number, because the mean of its divisors is an integer number (107387510256).

Almost surely, 24104430103214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4104430103214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5154600492288).

4104430103214 is an abundant number, since it is smaller than the sum of its proper divisors (6204770881362).

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

4104430103214 is a wasteful number, since it uses less digits than its factorization.

4104430103214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421150 (or 1421147 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4104430103214 its reverse (4123010344014), we get a palindrome (8227440447228).

The spelling of 4104430103214 in words is "four trillion, one hundred four billion, four hundred thirty million, one hundred three thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 126 202 227 303 454 606 681 707 909 1362 1414 1589 1818 2043 2121 3178 4086 4242 4767 6363 9534 12726 14301 22927 28602 45854 68781 137562 160489 206343 320978 412686 481467 962934 1420807 1444401 2841614 2888802 4262421 8524842 9945649 12787263 19891298 25574526 29836947 59673894 89510841 143501507 179021682 287003014 322523189 430504521 645046378 861009042 967569567 1004510549 1291513563 1935139134 2009021098 2257662323 2583027126 2902708701 3013531647 4515324646 5805417402 6027063294 6772986969 9040594941 13545973938 18081189882 20318960907 32574842089 40637921814 65149684178 97724526267 195449052534 228023894623 293173578801 456047789246 586347157602 684071683869 1368143367738 2052215051607 4104430103214