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144405150032 = 241121323249463
BaseRepresentation
bin1000011001111100110…
…1111011100101010000
3111210201211202200120002
42012133031323211100
54331220204300112
6150201103305132
713301331344213
oct2063715734520
9453654680502
10144405150032
1156272a40600
1223ba0bab1a8
1310804409150
146dbc6c777a
153b528261c2
hex219f37b950

144405150032 has 120 divisors (see below), whose sum is σ = 345589464192. Its totient is φ = 57955011840.

The previous prime is 144405149983. The next prime is 144405150053. The reversal of 144405150032 is 230051504441.

144405150032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 144405149977 and 144405150004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454133 + ... + 703595.

Almost surely, 2144405150032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144405150032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172794732096).

144405150032 is an abundant number, since it is smaller than the sum of its proper divisors (201184314160).

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

144405150032 is a wasteful number, since it uses less digits than its factorization.

144405150032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249529 (or 249512 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 144405150032 its reverse (230051504441), we get a palindrome (374456654473).

The spelling of 144405150032 in words is "one hundred forty-four billion, four hundred five million, one hundred fifty thousand, thirty-two".

Divisors: 1 2 4 8 11 13 16 22 23 26 44 46 52 88 92 104 121 143 176 184 208 242 253 286 299 368 484 506 572 598 968 1012 1144 1196 1573 1936 2024 2288 2392 2783 3146 3289 4048 4784 5566 6292 6578 11132 12584 13156 22264 25168 26312 36179 44528 52624 72358 144716 249463 289432 498926 578864 997852 1995704 2744093 3243019 3991408 5488186 5737649 6486038 10976372 11475298 12972076 21952744 22950596 25944152 30185023 35673209 43905488 45901192 51888304 60370046 63114139 71346418 74589437 91802384 120740092 126228278 142692836 149178874 241480184 252456556 285385672 298357748 392405299 482960368 504913112 570771344 596715496 694255529 784810598 820483807 1009826224 1193430992 1388511058 1569621196 1640967614 2777022116 3139242392 3281935228 5554044232 6278484784 6563870456 9025321877 11108088464 13127740912 18050643754 36101287508 72202575016 144405150032