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141323434304000 = 295313169859897
BaseRepresentation
bin100000001000100001101101…
…000110011010001000000000
3200112101101111010100222111112
4200020201231012122020000
5122010420343140212000
61220323031153102452
741524165306204454
oct4010415506321000
9615341433328445
10141323434304000
1141036a28408923
1213a25518257a28
1360b19868595c0
1426c813acd8664
15115123090e235
hex80886d19a200

141323434304000 has 160 divisors (see below), whose sum is σ = 379506419628336. Its totient is φ = 52180960051200.

The previous prime is 141323434303957. The next prime is 141323434304011. The reversal of 141323434304000 is 403434323141.

It can be written as a sum of positive squares in 8 ways, for example, as 206901258496 + 141116533045504 = 454864^2 + 11879248^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 84097949 + ... + 85761948.

Almost surely, 2141323434304000 is an apocalyptic number.

141323434304000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141323434304000 is an abundant number, since it is smaller than the sum of its proper divisors (238182985324336).

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

141323434304000 is an equidigital number, since it uses as much as digits as its factorization.

141323434304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169859943 (or 169859917 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 141323434304000 its reverse (403434323141), we get a palindrome (141726868627141).

The spelling of 141323434304000 in words is "one hundred forty-one trillion, three hundred twenty-three billion, four hundred thirty-four million, three hundred four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 160 200 208 250 256 260 320 325 400 416 500 512 520 640 650 800 832 1000 1040 1280 1300 1600 1625 1664 2000 2080 2560 2600 3200 3250 3328 4000 4160 5200 6400 6500 6656 8000 8320 10400 12800 13000 16000 16640 20800 26000 32000 33280 41600 52000 64000 83200 104000 166400 208000 416000 832000 169859897 339719794 679439588 849299485 1358879176 1698598970 2208178661 2717758352 3397197940 4246497425 4416357322 5435516704 6794395880 8492994850 8832714644 10871033408 11040893305 13588791760 16985989700 17665429288 21232487125 21742066816 22081786610 27177583520 33971979400 35330858576 42464974250 43484133632 44163573220 54355167040 55204466525 67943958800 70661717152 84929948500 86968267264 88327146440 108710334080 110408933050 135887917600 141323434304 169859897000 176654292880 217420668160 220817866100 271775835200 276022332625 282646868608 339719794000 353308585760 434841336320 441635732200 543551670400 552044665250 565293737216 679439588000 706617171520 883271464400 1087103340800 1104089330500 1130587474432 1358879176000 1413234343040 1766542928800 2174206681600 2208178661000 2717758352000 2826468686080 3533085857600 4416357322000 5435516704000 5652937372160 7066171715200 8832714644000 10871033408000 14132343430400 17665429288000 28264686860800 35330858576000 70661717152000 141323434304000