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4241283431445 = 345592693791741
BaseRepresentation
bin111101101110000000001…
…100010011110000010101
3120000110111100000222220000
4331232000030103300111
51023442122024301240
613004230235201513
7615264646223424
oct75560014236025
916013440028800
104241283431445
111395799a21955
12585ba52a6299
13249c4a053848
141093ca2392bb
15754d3932430
hex3db80313c15

4241283431445 has 160 divisors (see below), whose sum is σ = 7785443952000. Its totient is φ = 2208297530880.

The previous prime is 4241283431417. The next prime is 4241283431491. The reversal of 4241283431445 is 5441343821424.

4241283431445 is a `hidden beast` number, since 4 + 24 + 128 + 34 + 31 + 445 = 666.

It is not a de Polignac number, because 4241283431445 - 29 = 4241283430933 is a prime.

It is a super-3 number, since 3×42412834314453 (a number of 39 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4241283431445.

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 159 ways as a sum of consecutive naturals, for example, 2436118275 + ... + 2436120015.

It is an arithmetic number, because the mean of its divisors is an integer number (48659024700).

Almost surely, 24241283431445 is an apocalyptic number.

4241283431445 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4241283431445 is a deficient number, since it is larger than the sum of its proper divisors (3544160520555).

4241283431445 is a wasteful number, since it uses less digits than its factorization.

4241283431445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2456 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 45.

The spelling of 4241283431445 in words is "four trillion, two hundred forty-one billion, two hundred eighty-three million, four hundred thirty-one thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 27 45 59 81 135 177 269 295 379 405 531 807 885 1137 1345 1593 1741 1895 2421 2655 3411 4035 4779 5223 5685 7263 7965 8705 10233 12105 15669 15871 17055 21789 22361 23895 26115 30699 36315 47007 47613 51165 67083 78345 79355 101951 102719 108945 111805 141021 142839 153495 201249 235035 238065 305853 308157 335415 428517 468329 509755 513595 603747 659839 705105 714195 917559 924471 1006245 1285551 1404987 1529265 1540785 1811241 1979517 2142585 2341645 2752677 2773413 3018735 3299195 4214961 4587795 4622355 5938551 6015109 6427755 7024935 8258031 8320239 9056205 9897585 12644883 13763385 13867065 17815653 18045327 21074805 27631411 29692755 30075545 37934649 38930501 41290155 41601195 53446959 54135981 63224415 82894233 89078265 90226635 116791503 138157055 162407943 177496691 189673245 194652505 248682699 267234795 270679905 350374509 414471165 487223829 532490073 583957515 746048097 812039715 887483455 1051123527 1243413495 1597470219 1751872545 2238144291 2436119145 2662450365 3153370581 3730240485 4792410657 5255617635 7987351095 10472304769 11190721455 14377231971 15766852905 23962053285 31416914307 52361523845 71886159855 94250742921 157084571535 282752228763 471253714605 848256686289 1413761143815 4241283431445