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352145454144 = 26311891873433
BaseRepresentation
bin1010001111111011000…
…00010011010001000000
31020122221121210120011120
411013331200103101000
521232143214013034
6425435015112240
734304330654421
oct5077540232100
91218847716146
10352145454144
11126386a23850
12582b8972680
1327290212713
1413088791648
159260598c49
hex51fd813440

352145454144 has 112 divisors (see below), whose sum is σ = 1027840829760. Its totient is φ = 105511690240.

The previous prime is 352145454139. The next prime is 352145454161. The reversal of 352145454144 is 441454541253.

It is a junction number, because it is equal to n+sod(n) for n = 352145454096 and 352145454105.

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, 748749 + ... + 1124684.

Almost surely, 2352145454144 is an apocalyptic number.

It is an amenable number.

352145454144 is an abundant number, since it is smaller than the sum of its proper divisors (675695375616).

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

352145454144 is a wasteful number, since it uses less digits than its factorization.

352145454144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873548 (or 1873538 counting only the distinct ones).

The product of its digits is 768000, while the sum is 42.

Adding to 352145454144 its reverse (441454541253), we get a palindrome (793599995397).

The spelling of 352145454144 in words is "three hundred fifty-two billion, one hundred forty-five million, four hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 89 96 132 176 178 192 264 267 352 356 528 534 704 712 979 1056 1068 1424 1958 2112 2136 2848 2937 3916 4272 5696 5874 7832 8544 11748 15664 17088 23496 31328 46992 62656 93984 187968 1873433 3746866 5620299 7493732 11240598 14987464 20607763 22481196 29974928 41215526 44962392 59949856 61823289 82431052 89924784 119899712 123646578 164862104 166735537 179849568 247293156 329724208 333471074 359699136 494586312 500206611 659448416 666942148 989172624 1000413222 1318896832 1333884296 1834090907 1978345248 2000826444 2667768592 3668181814 3956690496 4001652888 5335537184 5502272721 7336363628 8003305776 10671074368 11004545442 14672727256 16006611552 22009090884 29345454512 32013223104 44018181768 58690909024 88036363536 117381818048 176072727072 352145454144