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42840243360 = 253359916723
BaseRepresentation
bin100111111001011110…
…100011110010100000
311002120121110211221000
4213321132203302200
51200214100241420
631402555032000
73044423026455
oct477136436240
9132517424830
1042840243360
1117194222a02
12837713b600
134069630035
1421058a982c
1511ab020690
hex9f97a3ca0

42840243360 has 96 divisors (see below), whose sum is σ = 149940866880. Its totient is φ = 11424063744.

The previous prime is 42840243343. The next prime is 42840243367. The reversal of 42840243360 is 6334204824.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×428402433602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42840243367) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4954042 + ... + 4962681.

It is an arithmetic number, because the mean of its divisors is an integer number (1561884030).

Almost surely, 242840243360 is an apocalyptic number.

42840243360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42840243360 is an abundant number, since it is smaller than the sum of its proper divisors (107100623520).

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

42840243360 is a wasteful number, since it uses less digits than its factorization.

42840243360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9916747 (or 9916733 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 42840243360 in words is "forty-two billion, eight hundred forty million, two hundred forty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 9916723 19833446 29750169 39666892 49583615 59500338 79333784 89250507 99167230 119000676 148750845 158667568 178501014 198334460 238001352 267751521 297501690 317335136 357002028 396668920 446252535 476002704 535503042 595003380 714004056 793337840 892505070 952005408 1071006084 1190006760 1338757605 1428008112 1586675680 1785010140 2142012168 2380013520 2677515210 2856016224 3570020280 4284024336 4760027040 5355030420 7140040560 8568048672 10710060840 14280081120 21420121680 42840243360