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144240101133040 = 24511198626800307
BaseRepresentation
bin100000110010111110000011…
…111111011000101011110000
3200220201012220122120112222101
4200302332003333120223300
5122401212211342224130
61230434553201350144
742245001112201423
oct4062760377305360
9626635818515871
10144240101133040
1141a60979837880
1214216846038354
136263a24829c93
1427893884c39ba
1511a203922d1ca
hex832f83fd8af0

144240101133040 has 80 divisors (see below), whose sum is σ = 385100365749120. Its totient is φ = 49690369762560.

The previous prime is 144240101133031. The next prime is 144240101133083. The reversal of 144240101133040 is 40331101042441.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4313383434 + ... + 4313416873.

It is an arithmetic number, because the mean of its divisors is an integer number (4813754571864).

Almost surely, 2144240101133040 is an apocalyptic number.

144240101133040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144240101133040 is an abundant number, since it is smaller than the sum of its proper divisors (240860264616080).

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

144240101133040 is a wasteful number, since it uses less digits than its factorization.

144240101133040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8626800350 (or 8626800344 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 144240101133040 its reverse (40331101042441), we get a palindrome (184571202175481).

The spelling of 144240101133040 in words is "one hundred forty-four trillion, two hundred forty billion, one hundred one million, one hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 380 418 440 760 836 880 1045 1520 1672 2090 3344 4180 8360 16720 8626800307 17253600614 34507201228 43134001535 69014402456 86268003070 94894803377 138028804912 163909205833 172536006140 189789606754 327818411666 345072012280 379579213508 474474016885 655636823332 690144024560 759158427016 819546029165 948948033770 1311273646664 1518316854032 1639092058330 1803001264163 1897896067540 2622547293328 3278184116660 3606002528326 3795792135080 6556368233320 7212005056652 7591584270160 9015006320815 13112736466640 14424010113304 18030012641630 28848020226608 36060025283260 72120050566520 144240101133040