Search a number
-
+
144443261046161 = 71110782121354019
BaseRepresentation
bin100000110101111011010001…
…010000111100110110010001
3200221102122022012210110101002
4200311323101100330312101
5122413024244311434121
61231112152411351345
742265452443026220
oct4065732120746621
9627378265713332
10144443261046161
114202a052261520
121424a0a3a52555
136279c306c071c
14279513c116cb7
1511a7479cd2e0b
hex835ed143cd91

144443261046161 has 32 divisors (see below), whose sum is σ = 181989550033920. Its totient is φ = 111365474673600.

The previous prime is 144443261046103. The next prime is 144443261046167. The reversal of 144443261046161 is 161640162344441.

It is not a de Polignac number, because 144443261046161 - 210 = 144443261045137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144443261046167) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3912791 + ... + 17441228.

It is an arithmetic number, because the mean of its divisors is an integer number (5687173438560).

Almost surely, 2144443261046161 is an apocalyptic number.

144443261046161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144443261046161 is a deficient number, since it is larger than the sum of its proper divisors (37546288987759).

144443261046161 is a wasteful number, since it uses less digits than its factorization.

144443261046161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21354965.

The product of its (nonzero) digits is 1327104, while the sum is 47.

The spelling of 144443261046161 in words is "one hundred forty-four trillion, four hundred forty-three billion, two hundred sixty-one million, forty-six thousand, one hundred sixty-one".

Divisors: 1 7 11 77 107 749 821 1177 5747 8239 9031 63217 87847 614929 966317 6764219 21354019 149478133 234894209 1644259463 2284880033 15994160231 17531649599 25133680363 122721547193 175935762541 192848145589 1349937019123 1875886507093 13131205549651 20634751578023 144443261046161