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990120301242480 = 24335838954641677
BaseRepresentation
bin1110000100100000100101100…
…0110101110010100001110000
311210211201120120011221100112000
43201020021120311302201300
52014234112334104224410
613425450553111334000
7415360555035323442
oct34110113065624160
94724646504840460
10990120301242480
11267534730739671
129306bb45681300
1333661c3662a9c5
1413670114b08492
15797047ba15dc0
hex3848258d72870

990120301242480 has 160 divisors (see below), whose sum is σ = 3410820967444800. Its totient is φ = 264000601893888.

The previous prime is 990120301242469. The next prime is 990120301242557. The reversal of 990120301242480 is 84242103021099.

990120301242480 is a `hidden beast` number, since 9 + 9 + 0 + 1 + 20 + 301 + 242 + 4 + 80 = 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, 9200599 + ... + 45441078.

It is an arithmetic number, because the mean of its divisors is an integer number (21317631046530).

Almost surely, 2990120301242480 is an apocalyptic number.

990120301242480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

990120301242480 is an abundant number, since it is smaller than the sum of its proper divisors (2420700666202320).

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

990120301242480 is a wasteful number, since it uses less digits than its factorization.

990120301242480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54650088 (or 54650076 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 990120301242480 in words is "nine hundred ninety trillion, one hundred twenty billion, three hundred one million, two hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 8389 16778 25167 33556 41945 50334 67112 75501 83890 100668 125835 134224 151002 167780 201336 226503 251670 302004 335560 377505 402672 453006 503340 604008 671120 755010 906012 1006680 1132515 1208016 1510020 1812024 2013360 2265030 3020040 3624048 4530060 6040080 9060120 18120240 54641677 109283354 163925031 218566708 273208385 327850062 437133416 491775093 546416770 655700124 819625155 874266832 983550186 1092833540 1311400248 1475325279 1639250310 1967100372 2185667080 2458875465 2622800496 2950650558 3278500620 3934200744 4371334160 4917750930 5901301116 6557001240 7376626395 7868401488 9835501860 11802602232 13114002480 14753252790 19671003720 23605204464 29506505580 39342007440 59013011160 118026022320 458389028353 916778056706 1375167085059 1833556113412 2291945141765 2750334170118 3667112226824 4125501255177 4583890283530 5500668340236 6875835425295 7334224453648 8251002510354 9167780567060 11001336680472 12376503765531 13751670850590 16502005020708 18335561134120 20627506275885 22002673360944 24753007531062 27503341701180 33004010041416 36671122268240 41255012551770 49506015062124 55006683402360 61882518827655 66008020082832 82510025103540 99012030124248 110013366804720 123765037655310 165020050207080 198024060248496 247530075310620 330040100414160 495060150621240 990120301242480