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355443020514 = 232371813538353
BaseRepresentation
bin1010010110000100000…
…11100001001011100010
31020222110102202021211100
411023002003201023202
521310421403124024
6431142133255230
734452131552511
oct5130203411342
91228412667740
10355443020514
1112781935620a
1258a79194516
132769745211a
14132bc6d6678
1593a4d1a7c9
hex52c20e12e2

355443020514 has 96 divisors (see below), whose sum is σ = 797659100784. Its totient is φ = 114303467520.

The previous prime is 355443020459. The next prime is 355443020519. The reversal of 355443020514 is 415020344553.

355443020514 is a `hidden beast` number, since 3 + 5 + 5 + 4 + 430 + 205 + 14 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 149975729289 + 205467291225 = 387267^2 + 453285^2 .

It is not an unprimeable number, because it can be changed into a prime (355443020519) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42548562 + ... + 42556914.

Almost surely, 2355443020514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355443020514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398829550392).

355443020514 is an abundant number, since it is smaller than the sum of its proper divisors (442216080270).

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

355443020514 is a wasteful number, since it uses less digits than its factorization.

355443020514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8932 (or 8929 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 355443020514 in words is "three hundred fifty-five billion, four hundred forty-three million, twenty thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 18 37 74 111 181 222 333 353 362 543 666 706 1059 1086 1629 2118 3177 3258 6354 6697 8353 13061 13394 16706 20091 25059 26122 39183 40182 50118 60273 63893 75177 78366 117549 120546 127786 150354 191679 235098 309061 383358 575037 618122 927183 1150074 1511893 1854366 2364041 2781549 2948609 3023786 4535679 4728082 5563098 5897218 7092123 8845827 9071358 13607037 14184246 17691654 21276369 26537481 27214074 42552738 53074962 55940041 109098533 111880082 167820123 218197066 327295599 335640246 503460369 533698229 654591198 981886797 1006920738 1067396458 1601094687 1963773594 3202189374 4803284061 9606568122 19746834473 39493668946 59240503419 118481006838 177721510257 355443020514