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242044324320 = 25355031002503
BaseRepresentation
bin1110000101101011110…
…1110100100111100000
3212010202111002122202110
43201122331310213200
512431201321334240
6303105453515320
723326040545011
oct3413275644740
9763674078673
10242044324320
1193717790377
123aab01a2b40
1319a94a979a6
14ba01da5008
156469676c80
hex385af749e0

242044324320 has 96 divisors (see below), whose sum is σ = 763956168192. Its totient is φ = 64416768512.

The previous prime is 242044324303. The next prime is 242044324321. The reversal of 242044324320 is 23423440242.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242044324321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259812 + ... + 742691.

It is an arithmetic number, because the mean of its divisors is an integer number (7957876752).

Almost surely, 2242044324320 is an apocalyptic number.

242044324320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242044324320 is an abundant number, since it is smaller than the sum of its proper divisors (521911843872).

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

242044324320 is a wasteful number, since it uses less digits than its factorization.

242044324320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003024 (or 1003016 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 242044324320 its reverse (23423440242), we get a palindrome (265467764562).

The spelling of 242044324320 in words is "two hundred forty-two billion, forty-four million, three hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 503 1006 1509 2012 2515 3018 4024 5030 6036 7545 8048 10060 12072 15090 16096 20120 24144 30180 40240 48288 60360 80480 120720 241440 1002503 2005006 3007509 4010012 5012515 6015018 8020024 10025030 12030036 15037545 16040048 20050060 24060072 30075090 32080096 40100120 48120144 60150180 80200240 96240288 120300360 160400480 240600720 481201440 504259009 1008518018 1512777027 2017036036 2521295045 3025554054 4034072072 5042590090 6051108108 7563885135 8068144144 10085180180 12102216216 15127770270 16136288288 20170360360 24204432432 30255540540 40340720720 48408864864 60511081080 80681441440 121022162160 242044324320