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14357645731728 = 24321317451157797
BaseRepresentation
bin1101000011101110011001…
…0111111010011110010000
31212211120121000110120022200
43100323212113322132100
53340213424301403403
650311451132203200
73011206563043635
oct320734627723620
955746530416280
1014357645731728
114636052792392
12173a736609500
13801bc6846790
14378cb150a18c
1519d71e2bdca3
hexd0ee65fa790

14357645731728 has 120 divisors (see below), whose sum is σ = 45817781333688. Its totient is φ = 4157870247936.

The previous prime is 14357645731727. The next prime is 14357645731733. The reversal of 14357645731728 is 82713754675341.

14357645731728 is a `hidden beast` number, since 1 + 4 + 3 + 5 + 7 + 6 + 457 + 3 + 172 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14852784384 + 14342792947344 = 121872^2 + 3787188^2 .

It is a super-2 number, since 2×143576457317282 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (14357645731727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225547075 + ... + 225610722.

Almost surely, 214357645731728 is an apocalyptic number.

14357645731728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14357645731728 is an abundant number, since it is smaller than the sum of its proper divisors (31460135601960).

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

14357645731728 is a wasteful number, since it uses less digits than its factorization.

14357645731728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451157841 (or 451157832 counting only the distinct ones).

The product of its digits is 118540800, while the sum is 63.

The spelling of 14357645731728 in words is "fourteen trillion, three hundred fifty-seven billion, six hundred forty-five million, seven hundred thirty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 34 36 39 48 51 52 68 72 78 102 104 117 136 144 153 156 204 208 221 234 272 306 312 408 442 468 612 624 663 816 884 936 1224 1326 1768 1872 1989 2448 2652 3536 3978 5304 7956 10608 15912 31824 451157797 902315594 1353473391 1804631188 2706946782 3609262376 4060420173 5413893564 5865051361 7218524752 7669682549 8120840346 10827787128 11730102722 15339365098 16241680692 17595154083 21655574256 23009047647 23460205444 30678730196 32483361384 35190308166 46018095294 46920410888 52785462249 61357460392 64966722768 69027142941 70380616332 92036190588 93840821776 99705873137 105570924498 122714920784 138054285882 140761232664 184072381176 199411746274 211141848996 276108571764 281522465328 299117619411 368144762352 398823492548 422283697992 552217143528 598235238822 797646985096 844567395984 897352858233 1104434287056 1196470477644 1595293970192 1794705716466 2392940955288 3589411432932 4785881910576 7178822865864 14357645731728