Search a number
-
+
144424536201 = 3211171928116073
BaseRepresentation
bin1000011010000001011…
…1111000100010001001
3111210210012020121101100
42012200113320202021
54331240140124301
6150203035012013
713301655205521
oct2064027704211
9453705217340
10144424536201
1156282981730
1223ba759a009
131080843605a
146dc10d2681
153b543a5286
hex21a05f8889

144424536201 has 96 divisors (see below), whose sum is σ = 254565866880. Its totient is φ = 77762764800.

The previous prime is 144424536143. The next prime is 144424536211. The reversal of 144424536201 is 102635424441.

144424536201 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 24 + 5 + 3 + 620 + 1 = 666.

It is not a de Polignac number, because 144424536201 - 225 = 144390981769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144424536211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8977501 + ... + 8993573.

It is an arithmetic number, because the mean of its divisors is an integer number (2651727780).

Almost surely, 2144424536201 is an apocalyptic number.

144424536201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144424536201 is a deficient number, since it is larger than the sum of its proper divisors (110141330679).

144424536201 is a wasteful number, since it uses less digits than its factorization.

144424536201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16407 (or 16404 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

It can be divided in two parts, 144424 and 536201, that added together give a square (680625 = 8252).

The spelling of 144424536201 in words is "one hundred forty-four billion, four hundred twenty-four million, five hundred thirty-six thousand, two hundred one".

Divisors: 1 3 9 11 17 19 33 51 57 99 153 171 187 209 281 323 561 627 843 969 1683 1881 2529 2907 3091 3553 4777 5339 9273 10659 14331 16017 16073 27819 31977 42993 48051 48219 52547 58729 90763 144657 157641 176187 176803 272289 273241 305387 472923 528561 530409 816867 819723 916161 998393 1591227 2459169 2748483 2995179 3005651 3359257 4516513 5191579 8985537 9016953 10077771 13549539 15574737 27050859 30233313 40648617 46724211 49681643 57107369 76780721 85813747 149044929 171322107 230342163 257441241 447134787 513966321 691026489 772323723 844587931 943951217 1458833699 2533763793 2831853651 4376501097 7601291379 8495560953 13129503291 16047170689 48141512067 144424536201