Search a number
-
+
4441243321424 = 2471319235768113
BaseRepresentation
bin100000010100000111010…
…1110110000010001010000
3120201120121212211212210002
41000220032232300101100
51040231131242241144
613240140133425132
7635604102233540
oct100501656602120
916646555755702
104441243321424
111462580087878
125b88ab49b1a8
13262a65c6b080
14114d58c79320
157a7d85d214e
hex40a0ebb0450

4441243321424 has 160 divisors (see below), whose sum is σ = 11152953665280. Its totient is φ = 1663772368896.

The previous prime is 4441243321387. The next prime is 4441243321429. The reversal of 4441243321424 is 4241233421444.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4441243321429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65169992 + ... + 65238104.

It is an arithmetic number, because the mean of its divisors is an integer number (69705960408).

Almost surely, 24441243321424 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 4441243321424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5576476832640).

4441243321424 is an abundant number, since it is smaller than the sum of its proper divisors (6711710343856).

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

4441243321424 is a wasteful number, since it uses less digits than its factorization.

4441243321424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70517 (or 70511 counting only the distinct ones).

The product of its digits is 294912, while the sum is 38.

Adding to 4441243321424 its reverse (4241233421444), we get a palindrome (8682476742868).

The spelling of 4441243321424 in words is "four trillion, four hundred forty-one billion, two hundred forty-three million, three hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 38 52 56 76 91 104 112 133 152 182 208 247 266 304 364 494 532 728 988 1064 1456 1729 1976 2128 2357 3458 3952 4714 6916 9428 13832 16499 18856 27664 30641 32998 37712 44783 61282 65996 68113 89566 122564 131992 136226 179132 214487 245128 263984 272452 313481 358264 428974 476791 490256 544904 582179 626962 716528 857948 885469 953582 1089808 1164358 1253924 1294147 1715896 1770938 1907164 2328716 2507848 2588294 3431792 3541876 3814328 4075253 4657432 5015696 5176588 6198283 7083752 7628656 8150506 9059029 9314864 10353176 12396566 14167504 16301012 16823911 18118058 20706352 24793132 32602024 33647822 36236116 49586264 65204048 67295644 72472232 99172528 117767377 134591288 144944464 160542341 235534754 269182576 321084682 471069508 642169364 942139016 1123796387 1284338728 1884278032 2087050433 2247592774 2568677456 3050304479 4174100866 4495185548 6100608958 8348201732 8990371096 12201217916 14609353031 16696403464 17980742192 21352131353 24402435832 29218706062 33392806928 39653958227 42704262706 48804871664 58437412124 79307916454 85408525412 116874824248 158615832908 170817050824 233749648496 277577707589 317231665816 341634101648 555155415178 634463331632 1110310830356 2220621660712 4441243321424