Search a number
-
+
144443314540315 = 57173141673728351
BaseRepresentation
bin100000110101111011010100…
…011101000000111100011011
3200221102122102221110020120001
4200311323110131000330123
5122413024402010242230
61231112202002113431
742265453662515650
oct4065732435007433
9627378387406501
10144443314540315
114202a07a47946a
121424a0b994b877
136279c3b80037b
14279514527dc27
1511a747e84d0ca
hex835ed4740f1b

144443314540315 has 128 divisors (see below), whose sum is σ = 221833799663616. Its totient is φ = 87996948480000.

The previous prime is 144443314540309. The next prime is 144443314540363. The reversal of 144443314540315 is 513045413344441.

It is a happy number.

144443314540315 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144443314540315 - 211 = 144443314538267 is a prime.

It is a super-2 number, since 2×1444433145403152 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5094808390 + ... + 5094836740.

It is an arithmetic number, because the mean of its divisors is an integer number (1733076559872).

Almost surely, 2144443314540315 is an apocalyptic number.

144443314540315 is a deficient number, since it is larger than the sum of its proper divisors (77390485123301).

144443314540315 is a wasteful number, since it uses less digits than its factorization.

144443314540315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35189.

The product of its (nonzero) digits is 2764800, while the sum is 46.

Adding to 144443314540315 its reverse (513045413344441), we get a palindrome (657488727884756).

The spelling of 144443314540315 in words is "one hundred forty-four trillion, four hundred forty-three billion, three hundred fourteen million, five hundred forty thousand, three hundred fifteen".

Divisors: 1 5 7 17 31 35 41 85 119 155 205 217 287 527 595 697 1085 1271 1435 2635 3485 3689 4879 6355 6737 8897 18445 21607 24395 28351 33685 44485 47159 108035 114529 141755 151249 198457 208847 235795 276217 481967 572645 756245 801703 878881 992285 1044235 1162391 1381085 1461929 1933519 2409835 3373769 3550399 4008515 4394405 4695689 5811955 6152167 7309645 8136737 8562727 9667595 14940977 16868845 17751995 19760647 23478445 24852793 30760835 32869823 36034121 40683685 42813635 59939089 74704885 98803235 104586839 124263965 138324529 145566359 164349115 180170605 191000687 252238847 299695445 522934195 612580057 691622645 727831795 955003435 1018964513 1261194235 1337004809 3062900285 3247011679 4288060399 5094822565 5921021297 6685024045 7831028167 16235058395 21440301995 22729081753 29605106485 39155140835 41447149079 54817197169 100657362049 113645408765 133127478839 207235745395 242761873177 274085985845 503286810245 665637394195 704601534343 931892351873 1213809365885 1699333112239 3523007671715 4126951844009 4659461759365 8496665561195 20634759220045 28888662908063 144443314540315