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80182354314240 = 2103251740068453
BaseRepresentation
bin10010001110110011101000…
…101111110000010000000000
3101111220100200010122222212100
4102032303220233300100000
541002201430201023430
6442311133130230400
722613661326165343
oct2216635057602000
9344810603588770
1080182354314240
112360416672a472
128baba64285400
1335982184878c9
1415b2bbd31a45a
15940ad8b91960
hex48ece8bf0400

80182354314240 has 132 divisors (see below), whose sum is σ = 277829769776364. Its totient is φ = 21381961138176.

The previous prime is 80182354314233. The next prime is 80182354314269. The reversal of 80182354314240 is 4241345328108.

80182354314240 is a `hidden beast` number, since 8 + 0 + 1 + 8 + 23 + 543 + 1 + 42 + 40 = 666.

80182354314240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 41009576592384 + 39172777721856 = 6403872^2 + 6258816^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 869988147 + ... + 870080306.

Almost surely, 280182354314240 is an apocalyptic number.

80182354314240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

80182354314240 is an abundant number, since it is smaller than the sum of its proper divisors (197647415462124).

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

80182354314240 is a wasteful number, since it uses less digits than its factorization.

80182354314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740068484 (or 1740068463 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 80182354314240 in words is "eighty trillion, one hundred eighty-two billion, three hundred fifty-four million, three hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5120 5760 7680 9216 11520 15360 23040 46080 1740068453 3480136906 5220205359 6960273812 8700342265 10440410718 13920547624 15660616077 17400684530 20880821436 26101026795 27841095248 31321232154 34801369060 41761642872 52202053590 55682190496 62642464308 69602738120 78303080385 83523285744 104404107180 111364380992 125284928616 139205476240 156606160770 167046571488 208808214360 222728761984 250569857232 278410952480 313212321540 334093142976 417616428720 445457523968 501139714464 556821904960 626424643080 668186285952 835232857440 890915047936 1002279428928 1113643809920 1252849286160 1336372571904 1670465714880 1781830095872 2004558857856 2227287619840 2505698572320 2672745143808 3340931429760 4009117715712 4454575239680 5011397144640 5345490287616 6681862859520 8018235431424 8909150479360 10022794289280 13363725719040 16036470862848 20045588578560 26727451438080 40091177157120 80182354314240