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144301134201440 = 2552995219326609
BaseRepresentation
bin100000110011110110111001…
…110110000100001001100000
3200220221001110011001200011012
4200303312321312010021200
5122403212210323421230
61230523005332040052
742252261424545356
oct4063667166041140
9626831404050135
10144301134201440
1141a84849374477
1214226639a63028
136269700301b38
14278c2d82517d6
1511a390c4e5395
hex833db9d84260

144301134201440 has 96 divisors (see below), whose sum is σ = 352671779628000. Its totient is φ = 55729337294848.

The previous prime is 144301134201431. The next prime is 144301134201457. The reversal of 144301134201440 is 44102431103441.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 144301134201397 and 144301134201406.

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, 441652856 + ... + 441979464.

It is an arithmetic number, because the mean of its divisors is an integer number (3673664371125).

Almost surely, 2144301134201440 is an apocalyptic number.

144301134201440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144301134201440 is an abundant number, since it is smaller than the sum of its proper divisors (208370645426560).

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

144301134201440 is a wasteful number, since it uses less digits than its factorization.

144301134201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421872 (or 421864 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 144301134201440 its reverse (44102431103441), we get a palindrome (188403565304881).

The spelling of 144301134201440 in words is "one hundred forty-four trillion, three hundred one billion, one hundred thirty-four million, two hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 95219 190438 326609 380876 476095 653218 761752 952190 1306436 1523504 1633045 1904380 2612872 2761351 3047008 3266090 3808760 5225744 5522702 6532180 7617520 9471661 10451488 11045404 13064360 13806755 15235040 18943322 22090808 26128720 27613510 37886644 44181616 47358305 52257440 55227020 75773288 88363232 94716610 110454040 151546576 189433220 220908080 303093152 378866440 441816160 757732880 1515465760 31099382371 62198764742 124397529484 155496911855 248795058968 310993823710 497590117936 621987647420 901882088759 995180235872 1243975294840 1803764177518 2487950589680 3607528355036 4509410443795 4975901179360 7215056710072 9018820887590 14430113420144 18037641775180 28860226840288 36075283550360 72150567100720 144301134201440