Search a number
-
+
440014103152 = 241319210356893
BaseRepresentation
bin1100110011100101110…
…00100110001001110000
31120001202100011102101021
412121302320212021300
524202122102300102
6534050101145224
743534650110611
oct6316270461160
91501670142337
10440014103152
1115a677543338
127133b9bb214
13326545bac60
14174225a1c08
15b6a4769137
hex6672e26270

440014103152 has 120 divisors (see below), whose sum is σ = 978395649504. Its totient is φ = 190523570688.

The previous prime is 440014103141. The next prime is 440014103173. The reversal of 440014103152 is 251301410044.

It is a super-2 number, since 2×4400141031522 (a number of 24 digits) contains 22 as substring.

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, 7705618 + ... + 7762510.

Almost surely, 2440014103152 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 440014103152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489197824752).

440014103152 is an abundant number, since it is smaller than the sum of its proper divisors (538381546352).

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

440014103152 is a wasteful number, since it uses less digits than its factorization.

440014103152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57055 (or 57030 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 440014103152 its reverse (251301410044), we get a palindrome (691315513196).

The spelling of 440014103152 in words is "four hundred forty billion, fourteen million, one hundred three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 103 104 152 206 208 247 304 361 412 494 722 824 988 1339 1444 1648 1957 1976 2678 2888 3914 3952 4693 5356 5776 7828 9386 10712 15656 18772 21424 25441 31312 37183 37544 50882 56893 74366 75088 101764 113786 148732 203528 227572 297464 407056 455144 483379 594928 739609 910288 966758 1080967 1479218 1933516 2161934 2958436 3867032 4323868 5859979 5916872 7734064 8647736 11719958 11833744 14052571 17295472 20538373 23439916 28105142 41076746 46879832 56210284 76179727 82153492 93759664 111339601 112420568 152359454 164306984 222679202 224841136 266998849 304718908 328613968 445358404 533997698 609437816 890716808 1067995396 1218875632 1447414813 1781433616 2115452419 2135990792 2894829626 4230904838 4271981584 5789659252 8461809676 11579318504 16923619352 23158637008 27500881447 33847238704 55001762894 110003525788 220007051576 440014103152