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4113034300144 = 247113338501867
BaseRepresentation
bin111011110110100011111…
…100101100101011110000
3112120012110102200002121001
4323312203330230223300
51014341443240101034
612425300223211344
7603104552464510
oct73664374545360
915505412602531
104113034300144
1113463676aa350
12565172a46b54
1323ab1bb291c3
141031014d7840
1571ec966ea14
hex3bda3f2caf0

4113034300144 has 40 divisors (see below), whose sum is σ = 9935381559168. Its totient is φ = 1602480895680.

The previous prime is 4113034300127. The next prime is 4113034300147. The reversal of 4113034300144 is 4410034303114.

It is a happy number.

It is a super-2 number, since 2×41130343001442 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4113034300147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1669249702 + ... + 1669252165.

Almost surely, 24113034300144 is an apocalyptic number.

4113034300144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4113034300144 is an abundant number, since it is smaller than the sum of its proper divisors (5822347259024).

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

4113034300144 is a wasteful number, since it uses less digits than its factorization.

4113034300144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3338501893 (or 3338501887 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 4113034300144 its reverse (4410034303114), we get a palindrome (8523068603258).

The spelling of 4113034300144 in words is "four trillion, one hundred thirteen billion, thirty-four million, three hundred thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 3338501867 6677003734 13354007468 23369513069 26708014936 36723520537 46739026138 53416029872 73447041074 93478052276 146894082148 186956104552 257064643759 293788164296 373912209104 514129287518 587576328592 1028258575036 2056517150072 4113034300144