Search a number
-
+
1303041321040 = 2451923130128649
BaseRepresentation
bin10010111101100011010…
…100001010100001010000
311121120101012010120101011
4102331203110022201100
5132322112034233130
62434335305420304
7163066402323514
oct22754324124120
94546335116334
101303041321040
11462686945758
12190655a9a694
1395b512188a4
14470d346a144
1523d65e2c52a
hex12f6350a850

1303041321040 has 160 divisors (see below), whose sum is σ = 3330349344000. Its totient is φ = 471935692800.

The previous prime is 1303041320981. The next prime is 1303041321067. The reversal of 1303041321040 is 401231403031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45468636 + ... + 45497284.

It is an arithmetic number, because the mean of its divisors is an integer number (20814683400).

Almost surely, 21303041321040 is an apocalyptic number.

1303041321040 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 1303041321040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665174672000).

1303041321040 is an abundant number, since it is smaller than the sum of its proper divisors (2027308022960).

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

1303041321040 is a wasteful number, since it uses less digits than its factorization.

1303041321040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30005 (or 29999 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 1303041321040 its reverse (401231403031), we get a palindrome (1704272724071).

The spelling of 1303041321040 in words is "one trillion, three hundred three billion, forty-one million, three hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 23 38 40 46 76 80 92 95 115 152 184 190 230 304 368 380 437 460 760 874 920 1301 1520 1748 1840 2185 2602 3496 4370 5204 6505 6992 8740 10408 13010 17480 20816 24719 26020 28649 29923 34960 49438 52040 57298 59846 98876 104080 114596 119692 123595 143245 149615 197752 229192 239384 247190 286490 299230 395504 458384 478768 494380 544331 568537 572980 598460 658927 988760 1088662 1137074 1145960 1196920 1317854 1977520 2177324 2274148 2291920 2393840 2635708 2721655 2842685 3294635 4354648 4548296 5271416 5443310 5685370 6589270 8709296 9096592 10542832 10886620 11370740 12519613 13178540 21773240 22741480 25039226 26357080 37272349 43546480 45482960 50078452 52714160 62598065 74544698 100156904 125196130 149089396 186361745 200313808 250392260 298178792 372723490 500784520 596357584 708174631 745446980 857264027 1001569040 1416349262 1490893960 1714528054 2832698524 2981787920 3429056108 3540873155 4286320135 5665397048 6858112216 7081746310 8572640270 11330794096 13716224432 14163492620 16288016513 17145280540 28326985240 32576033026 34290561080 56653970480 65152066052 68581122160 81440082565 130304132104 162880165130 260608264208 325760330260 651520660520 1303041321040