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145310875805424 = 2437676454818577
BaseRepresentation
bin100001000010100011010011…
…001000100110011011110000
3201001111120202210000212001210
4201002203103020212123300
5123021233133201233144
61233014521135000120
742415235651555250
oct4102432310463360
9631446683025053
10145310875805424
1142333aa616664a
121436a27a369040
1363109ab895994
1427c5126397960
1511bed090c7ab9
hex8428d32266f0

145310875805424 has 80 divisors (see below), whose sum is σ = 435416241997568. Its totient is φ = 40897730497536.

The previous prime is 145310875805401. The next prime is 145310875805449. The reversal of 145310875805424 is 424508578013541.

It is a super-2 number, since 2×1453108758054242 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3227386777 + ... + 3227431800.

Almost surely, 2145310875805424 is an apocalyptic number.

145310875805424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

145310875805424 is an abundant number, since it is smaller than the sum of its proper divisors (290105366192144).

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

145310875805424 is a wasteful number, since it uses less digits than its factorization.

145310875805424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6454818662 (or 6454818656 counting only the distinct ones).

The product of its (nonzero) digits is 21504000, while the sum is 57.

The spelling of 145310875805424 in words is "one hundred forty-five trillion, three hundred ten billion, eight hundred seventy-five million, eight hundred five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 67 84 112 134 168 201 268 336 402 469 536 804 938 1072 1407 1608 1876 2814 3216 3752 5628 7504 11256 22512 6454818577 12909637154 19364455731 25819274308 38728911462 45183730039 51638548616 77457822924 90367460078 103277097232 135551190117 154915645848 180734920156 271102380234 309831291696 361469840312 432472844659 542204760468 722939680624 864945689318 1084409520936 1297418533977 1729891378636 2168819041872 2594837067954 3027309912613 3459782757272 5189674135908 6054619825226 6919565514544 9081929737839 10379348271816 12109239650452 18163859475678 20758696543632 24218479300904 36327718951356 48436958601808 72655437902712 145310875805424