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144240340231020 = 2235111536114227327
BaseRepresentation
bin100000110010111110010010…
…001111011110001101101100
3200220201020112022110222202010
4200302332102033132031230
5122401213204044343040
61230435033022201220
742245010044406165
oct4062762217361554
9626636468428663
10144240340231020
1141a60a917a4710
12142168b2123210
136263a62223387
1427893ac16276c
1511a205020be80
hex832f923de36c

144240340231020 has 96 divisors (see below), whose sum is σ = 440617388875776. Its totient is φ = 34965076377600.

The previous prime is 144240340231003. The next prime is 144240340231027. The reversal of 144240340231020 is 20132043042441.

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

It is not an unprimeable number, because it can be changed into a prime (144240340231027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3024597 + ... + 17251923.

It is an arithmetic number, because the mean of its divisors is an integer number (4589764467456).

Almost surely, 2144240340231020 is an apocalyptic number.

144240340231020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144240340231020 is an abundant number, since it is smaller than the sum of its proper divisors (296377048644756).

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

144240340231020 is a wasteful number, since it uses less digits than its factorization.

144240340231020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14242711 (or 14242709 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 144240340231020 its reverse (20132043042441), we get a palindrome (164372383273461).

The spelling of 144240340231020 in words is "one hundred forty-four trillion, two hundred forty billion, three hundred forty million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 15361 30722 46083 61444 76805 92166 153610 168971 184332 230415 307220 337942 460830 506913 675884 844855 921660 1013826 1689710 2027652 2534565 3379420 5069130 10138260 14227327 28454654 42681981 56909308 71136635 85363962 142273270 156500597 170727924 213409905 284546540 313001194 426819810 469501791 626002388 782502985 853639620 939003582 1565005970 1878007164 2347508955 3130011940 4695017910 9390035820 218545970047 437091940094 655637910141 874183880188 1092729850235 1311275820282 2185459700470 2404005670517 2622551640564 3278189550705 4370919400940 4808011341034 6556379101410 7212017011551 9616022682068 12020028352585 13112758202820 14424034023102 24040056705170 28848068046204 36060085057755 48080113410340 72120170115510 144240340231020