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144334154740 = 2251917919910663
BaseRepresentation
bin1000011001101011111…
…1000110101111110100
3111210112220011202022211
42012122333012233310
54331044020422430
6150150045503204
713266510033646
oct2063277065764
9453486152284
10144334154740
115623695a806
1223b81271b04
13107c27ac5b9
146db30c6896
153b4b4a072a
hex219afc6bf4

144334154740 has 96 divisors (see below), whose sum is σ = 322479360000. Its totient is φ = 54111100032.

The previous prime is 144334154711. The next prime is 144334154753. The reversal of 144334154740 is 47451433441.

It is a junction number, because it is equal to n+sod(n) for n = 144334154693 and 144334154702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13530649 + ... + 13541311.

It is an arithmetic number, because the mean of its divisors is an integer number (3359160000).

Almost surely, 2144334154740 is an apocalyptic number.

144334154740 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 144334154740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161239680000).

144334154740 is an abundant number, since it is smaller than the sum of its proper divisors (178145205260).

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

144334154740 is a wasteful number, since it uses less digits than its factorization.

144334154740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11069 (or 11067 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 40.

The spelling of 144334154740 in words is "one hundred forty-four billion, three hundred thirty-four million, one hundred fifty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 179 190 199 358 380 398 716 796 895 995 1790 1990 3401 3580 3781 3980 6802 7562 10663 13604 15124 17005 18905 21326 34010 35621 37810 42652 53315 68020 71242 75620 106630 142484 178105 202597 213260 356210 405194 676799 712420 810388 1012985 1353598 1908677 2025970 2121937 2707196 3383995 3817354 4051940 4243874 6767990 7634708 8487748 9543385 10609685 13535980 19086770 21219370 36264863 38173540 40316803 42438740 72529726 80633606 145059452 161267212 181324315 201584015 362648630 379826723 403168030 725297260 759653446 806336060 1519306892 1899133615 3798267230 7216707737 7596534460 14433415474 28866830948 36083538685 72167077370 144334154740