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144401000142120 = 23355920395621489
BaseRepresentation
bin100000110101010011111010…
…010100011001010100101000
3200221021121012222110002120220
4200311103322110121110220
5122411331222014021440
61231040523105450040
742262425253205361
oct4065237224312450
9627247188402526
10144401000142120
1142013136065847
1214241a6a940920
136275c57104227
14279308d576b68
1511a6304a9d8d0
hex8354fa519528

144401000142120 has 64 divisors (see below), whose sum is σ = 440545424184000. Its totient is φ = 37854273481728.

The previous prime is 144401000142101. The next prime is 144401000142169. The reversal of 144401000142120 is 21241000104441.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 10197803665 + ... + 10197817824.

It is an arithmetic number, because the mean of its divisors is an integer number (6883522252875).

Almost surely, 2144401000142120 is an apocalyptic number.

144401000142120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144401000142120 is an abundant number, since it is smaller than the sum of its proper divisors (296144424041880).

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

144401000142120 is a wasteful number, since it uses less digits than its factorization.

144401000142120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20395621562 (or 20395621558 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 144401000142120 its reverse (21241000104441), we get a palindrome (165642000246561).

The spelling of 144401000142120 in words is "one hundred forty-four trillion, four hundred one billion, one hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 590 708 885 1180 1416 1770 2360 3540 7080 20395621489 40791242978 61186864467 81582485956 101978107445 122373728934 163164971912 203956214890 244747457868 305934322335 407912429780 489494915736 611868644670 815824859560 1203341667851 1223737289340 2406683335702 2447474578680 3610025003553 4813366671404 6016708339255 7220050007106 9626733342808 12033416678510 14440100014212 18050125017765 24066833357020 28880200028424 36100250035530 48133666714040 72200500071060 144401000142120