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143468382096 = 243213471630619
BaseRepresentation
bin1000010110011101100…
…0011100011110010000
3111201022120001221112100
42011213120130132100
54322310401211341
6145524121200400
713236165061314
oct2054730343620
9451276057470
10143468382096
1155932185a26
122397b330100
13106b530b0b0
146d30119b44
153aea4853b6
hex216761c790

143468382096 has 120 divisors (see below), whose sum is σ = 441597985920. Its totient is φ = 43204854528.

The previous prime is 143468382091. The next prime is 143468382097. The reversal of 143468382096 is 690283864341.

143468382096 is a `hidden beast` number, since 1 + 43 + 468 + 38 + 20 + 96 = 666.

It is a super-2 number, since 2×1434683820962 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (143468382091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 727326 + ... + 903293.

It is an arithmetic number, because the mean of its divisors is an integer number (3679983216).

Almost surely, 2143468382096 is an apocalyptic number.

143468382096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

143468382096 is an abundant number, since it is smaller than the sum of its proper divisors (298129603824).

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

143468382096 is a wasteful number, since it uses less digits than its factorization.

143468382096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630693 (or 1630684 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 143468382096 in words is "one hundred forty-three billion, four hundred sixty-eight million, three hundred eighty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 47 48 52 72 78 94 104 117 141 144 156 188 208 234 282 312 376 423 468 564 611 624 752 846 936 1128 1222 1692 1833 1872 2256 2444 3384 3666 4888 5499 6768 7332 9776 10998 14664 21996 29328 43992 87984 1630619 3261238 4891857 6522476 9783714 13044952 14675571 19567428 21198047 26089904 29351142 39134856 42396094 58702284 63594141 76639093 78269712 84792188 117404568 127188282 153278186 169584376 190782423 229917279 234809136 254376564 306556372 339168752 381564846 459834558 508753128 613112744 689751837 763129692 919669116 996308209 1017506256 1226225488 1379503674 1526259384 1839338232 1992616418 2759007348 2988924627 3052518768 3678676464 3985232836 5518014696 5977849254 7970465672 8966773881 11036029392 11955698508 15940931344 17933547762 23911397016 35867095524 47822794032 71734191048 143468382096