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145445435330524 = 227172321932992817
BaseRepresentation
bin100001000100100000100111…
…100000011100111111011100
3201001222110002110111222021121
4201010200213200130333130
5123030434222421034044
61233200413252340324
742431041321631560
oct4104404740347734
9631873073458247
10145445435330524
114238607654243a
12143903720146a4
1363205a4285a54
1427cb84d2256a0
1511c3582386984
hex84482781cfdc

145445435330524 has 144 divisors (see below), whose sum is σ = 323644104681408. Its totient is φ = 55825547526144.

The previous prime is 145445435330519. The next prime is 145445435330537. The reversal of 145445435330524 is 425033534544541.

It is a super-3 number, since 3×1454454353305243 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47101764 + ... + 50094580.

It is an arithmetic number, because the mean of its divisors is an integer number (2247528504732).

Almost surely, 2145445435330524 is an apocalyptic number.

145445435330524 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 145445435330524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161822052340704).

145445435330524 is an abundant number, since it is smaller than the sum of its proper divisors (178198669350884).

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

145445435330524 is a wasteful number, since it uses less digits than its factorization.

145445435330524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2993084 (or 2993059 counting only the distinct ones).

The product of its (nonzero) digits is 34560000, while the sum is 52.

The spelling of 145445435330524 in words is "one hundred forty-five trillion, four hundred forty-five billion, four hundred thirty-five million, three hundred thirty thousand, five hundred twenty-four".

Divisors: 1 2 4 7 14 17 23 28 34 46 68 92 119 161 193 238 322 386 391 476 529 644 772 782 1058 1351 1564 2116 2702 2737 3281 3703 4439 5404 5474 6562 7406 8878 8993 10948 13124 14812 17756 17986 22967 31073 35972 45934 62146 62951 75463 91868 102097 124292 125902 150926 204194 251804 301852 408388 528241 714679 1056482 1429358 1735649 2112964 2858716 2992817 3471298 5985634 6942596 11971268 12149543 20949719 24299086 41899438 48598172 50877889 68834791 83798876 101755778 137669582 203511556 275339164 356145223 481843537 577613681 712290446 963687074 1155227362 1170191447 1424580892 1583200193 1927374148 2310454724 2340382894 3166400386 4043295767 4680765788 6332800772 8086591534 8191340129 9819432577 11082401351 13285114663 16173183068 16382680258 19638865154 22164802702 26570229326 26914403281 32765360516 39277730308 44329605404 53140458652 53828806562 68736028039 92995802641 107657613124 137472056078 185991605282 188400822967 225846949271 274944112156 305557637249 371983210564 376801645934 451693898542 611115274498 753603291868 903387797084 1222230548996 1580928644897 2138903460743 3161857289794 4277806921486 5194479833233 6323714579588 8555613842972 10388959666466 20777919332932 36361358832631 72722717665262 145445435330524