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144443011402431 = 3473892389327409
BaseRepresentation
bin100000110101111011000010…
…011000101000101010111111
3200221102121122211001020120000
4200311323002120220222333
5122413023241404334211
61231112111532525343
742265443322060020
oct4065730230505277
9627377584036500
10144443011402431
1142029a34351495
121424a034320853
136279bc0a74241
142795116cd0c47
1511a7462e1e656
hex835ec2628abf

144443011402431 has 80 divisors (see below), whose sum is σ = 247250887540800. Its totient is φ = 82320232338432.

The previous prime is 144443011402343. The next prime is 144443011402453. The reversal of 144443011402431 is 134204110344441.

144443011402431 is a `hidden beast` number, since 1 + 4 + 44 + 43 + 0 + 1 + 140 + 2 + 431 = 666.

144443011402431 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 144443011402431 - 213 = 144443011394239 is a prime.

It is a super-2 number, since 2×1444430114024312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144443011402631) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5269898055 + ... + 5269925463.

It is an arithmetic number, because the mean of its divisors is an integer number (3090636094260).

Almost surely, 2144443011402431 is an apocalyptic number.

144443011402431 is a deficient number, since it is larger than the sum of its proper divisors (102807876138369).

144443011402431 is a wasteful number, since it uses less digits than its factorization.

144443011402431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51710 (or 51701 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 144443011402431 its reverse (134204110344441), we get a palindrome (278647121746872).

The spelling of 144443011402431 in words is "one hundred forty-four trillion, four hundred forty-three billion, eleven million, four hundred two thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 81 189 389 567 1167 2723 3501 8169 10503 23893 24507 27409 31509 71679 73521 82227 167251 191863 215037 220563 246681 501753 575589 645111 740043 1505259 1726767 1935333 2220129 4515777 5180301 9294377 10662101 13547331 15540903 27883131 31986303 65060639 74634707 83649393 95958909 195181917 223904121 250948179 287876727 585545751 654883237 671712363 752844537 863630181 1756637253 1964649711 2015137089 4584182659 5269911759 5893949133 6045411267 13752547977 17681847399 41257643931 53045542197 123772931793 254749579193 371318795379 764248737579 1783247054351 2292746212737 5349741163053 6878238638211 16049223489159 20634715914633 48147670467477 144443011402431