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13354555334040 = 2333543287565791
BaseRepresentation
bin1100001001010101100110…
…0001101101110110011000
31202021200102220220200012000
43002111121201231312120
53222300112131142130
644222555323521000
72545556221252044
oct302253141556630
952250386820160
1013354555334040
1142896a9373a18
1215b8251689160
1375b43823576b
14342514889024
151825b15a9260
hexc255986dd98

13354555334040 has 128 divisors (see below), whose sum is σ = 45550421452800. Its totient is φ = 3478395795840.

The previous prime is 13354555334033. The next prime is 13354555334063. The reversal of 13354555334040 is 4043355545331.

13354555334040 is a `hidden beast` number, since 1 + 3 + 3 + 54 + 5 + 553 + 3 + 4 + 0 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143736456 + ... + 143829335.

It is an arithmetic number, because the mean of its divisors is an integer number (355862667600).

Almost surely, 213354555334040 is an apocalyptic number.

13354555334040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13354555334040 is an abundant number, since it is smaller than the sum of its proper divisors (32195866118760).

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

13354555334040 is a wasteful number, since it uses less digits than its factorization.

13354555334040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287565854 (or 287565844 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 45.

The spelling of 13354555334040 in words is "thirteen trillion, three hundred fifty-four billion, five hundred fifty-five million, three hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 43 45 54 60 72 86 90 108 120 129 135 172 180 215 216 258 270 344 360 387 430 516 540 645 774 860 1032 1080 1161 1290 1548 1720 1935 2322 2580 3096 3870 4644 5160 5805 7740 9288 11610 15480 23220 46440 287565791 575131582 862697373 1150263164 1437828955 1725394746 2300526328 2588092119 2875657910 3450789492 4313486865 5176184238 5751315820 6901578984 7764276357 8626973730 10352368476 11502631640 12365329013 12940460595 15528552714 17253947460 20704736952 24730658026 25880921190 31057105428 34507894920 37095987039 38821381785 49461316052 51761842380 61826645065 62114210856 74191974078 77642763570 98922632104 103523684760 111287961117 123653290130 148383948156 155285527140 185479935195 222575922234 247306580260 296767896312 310571054280 333863883351 370959870390 445151844468 494613160520 556439805585 667727766702 741919740780 890303688936 1112879611170 1335455533404 1483839481560 1669319416755 2225759222340 2670911066808 3338638833510 4451518444680 6677277667020 13354555334040