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144401310440 = 23537463210731
BaseRepresentation
bin1000011001111011111…
…1010010001011101000
3111210201120112121121222
42012132333102023220
54331213213413230
6150200445121212
713301253613112
oct2063677221350
9453646477558
10144401310440
1156270858892
1223b9b859208
13108036935ba
146dbbda83b2
153b523186e5
hex219efd22e8

144401310440 has 64 divisors (see below), whose sum is σ = 334406396160. Its totient is φ = 56077781760.

The previous prime is 144401310437. The next prime is 144401310479. The reversal of 144401310440 is 44013104441.

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, 579875 + ... + 790605.

It is an arithmetic number, because the mean of its divisors is an integer number (5225099940).

Almost surely, 2144401310440 is an apocalyptic number.

144401310440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144401310440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167203198080).

144401310440 is an abundant number, since it is smaller than the sum of its proper divisors (190005085720).

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

144401310440 is a wasteful number, since it uses less digits than its factorization.

144401310440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211242 (or 211238 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 144401310440 its reverse (44013104441), we get a palindrome (188414414881).

It can be divided in two parts, 14440 and 1310440, that multiplied together give a square (18922753600 = 1375602).

The spelling of 144401310440 in words is "one hundred forty-four billion, four hundred one million, three hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 463 740 926 1480 1852 2315 3704 4630 9260 17131 18520 34262 68524 85655 137048 171310 210731 342620 421462 685240 842924 1053655 1685848 2107310 4214620 7797047 8429240 15594094 31188188 38985235 62376376 77970470 97568453 155940940 195136906 311881880 390273812 487842265 780547624 975684530 1951369060 3610032761 3902738120 7220065522 14440131044 18050163805 28880262088 36100327610 72200655220 144401310440