Search a number
-
+
442100503520 = 255131731228603
BaseRepresentation
bin1100110111011110011…
…11100101001111100000
31120021010202002112121222
412123233033211033200
524220410212103040
6535033112034212
743640443163534
oct6335717451740
91507122075558
10442100503520
11160548232865
1271822692968
13328c79269a0
141757d70bbc4
15b7779e6bb5
hex66ef3e53e0

442100503520 has 96 divisors (see below), whose sum is σ = 1131308392032. Its totient is φ = 162293409792.

The previous prime is 442100503441. The next prime is 442100503567. The reversal of 442100503520 is 25305001244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 442100503520.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254462 + ... + 974141.

It is an arithmetic number, because the mean of its divisors is an integer number (11784462417).

Almost surely, 2442100503520 is an apocalyptic number.

442100503520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442100503520 is an abundant number, since it is smaller than the sum of its proper divisors (689207888512).

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

442100503520 is a wasteful number, since it uses less digits than its factorization.

442100503520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228804 (or 1228796 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 442100503520 its reverse (25305001244), we get a palindrome (467405504764).

The spelling of 442100503520 in words is "four hundred forty-two billion, one hundred million, five hundred three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 173 208 260 346 416 520 692 865 1040 1384 1730 2080 2249 2768 3460 4498 5536 6920 8996 11245 13840 17992 22490 27680 35984 44980 71968 89960 179920 359840 1228603 2457206 4914412 6143015 9828824 12286030 15971839 19657648 24572060 31943678 39315296 49144120 63887356 79859195 98288240 127774712 159718390 196576480 212548319 255549424 319436780 425096638 511098848 638873560 850193276 1062741595 1277747120 1700386552 2125483190 2555494240 2763128147 3400773104 4250966380 5526256294 6801546208 8501932760 11052512588 13815640735 17003865520 22105025176 27631281470 34007731040 44210050352 55262562940 88420100704 110525125880 221050251760 442100503520