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143729191086544 = 24722745712370433
BaseRepresentation
bin100000101011100010001111…
…011000001110100111010000
3200211220101011110012001111201
4200223202033120032213100
5122314324340404232134
61225404140122120544
742163043225356240
oct4053421730164720
9624811143161451
10143729191086544
11418842313a0a28
121415381b350154
1362277b22bb5bb
14276c75c327b20
151193ad58c8914
hex82b88f60e9d0

143729191086544 has 80 divisors (see below), whose sum is σ = 320359009603968. Its totient is φ = 61192667529216.

The previous prime is 143729191086527. The next prime is 143729191086631. The reversal of 143729191086544 is 445680191927341.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5433552 + ... + 17803984.

It is a 1-persistent number, because it is pandigital, but 2⋅143729191086544 = 287458382173088 is not.

Almost surely, 2143729191086544 is an apocalyptic number.

143729191086544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 143729191086544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160179504801984).

143729191086544 is an abundant number, since it is smaller than the sum of its proper divisors (176629818517424).

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

143729191086544 is a wasteful number, since it uses less digits than its factorization.

143729191086544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12371132 (or 12371126 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 64.

The spelling of 143729191086544 in words is "one hundred forty-three trillion, seven hundred twenty-nine billion, one hundred ninety-one million, eighty-six thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 227 454 457 908 914 1589 1816 1828 3178 3199 3632 3656 6356 6398 7312 12712 12796 25424 25592 51184 103739 207478 414956 726173 829912 1452346 1659824 2904692 5809384 11618768 12370433 24740866 49481732 86593031 98963464 173186062 197926928 346372124 692744248 1385488496 2808088291 5616176582 5653287881 11232353164 11306575762 19656618037 22464706328 22613151524 39313236074 39573015167 44929412656 45226303048 78626472148 79146030334 90452606096 157252944296 158292060668 314505888592 316584121336 633168242672 1283296348987 2566592697974 5133185395948 8983074442909 10266370791896 17966148885818 20532741583792 35932297771636 71864595543272 143729191086544