Search a number
-
+
1253304430340 = 2251741151595411
BaseRepresentation
bin10010001111001110110…
…000111110111100000100
311102210222221101201212012
4102033032300332330010
5131013231413232330
62355432103313352
7156356023612334
oct22171660767404
94383887351765
101253304430340
1144358374a606
12182a9514b858
1391255b2b451
1444935a690c4
152290470ac95
hex123cec3ef04

1253304430340 has 96 divisors (see below), whose sum is σ = 2873639317248. Its totient is φ = 457274880000.

The previous prime is 1253304430327. The next prime is 1253304430351. The reversal of 1253304430340 is 430344033521.

It is a junction number, because it is equal to n+sod(n) for n = 1253304430297 and 1253304430306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1807235 + ... + 2402645.

It is an arithmetic number, because the mean of its divisors is an integer number (29933742888).

Almost surely, 21253304430340 is an apocalyptic number.

1253304430340 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 1253304430340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436819658624).

1253304430340 is an abundant number, since it is smaller than the sum of its proper divisors (1620334886908).

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

1253304430340 is a wasteful number, since it uses less digits than its factorization.

1253304430340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595629 (or 595627 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 32.

Adding to 1253304430340 its reverse (430344033521), we get a palindrome (1683648463861).

The spelling of 1253304430340 in words is "one trillion, two hundred fifty-three billion, three hundred four million, four hundred thirty thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 151 164 170 205 302 340 410 604 697 755 820 1394 1510 2567 2788 3020 3485 5134 6191 6970 10268 12382 12835 13940 24764 25670 30955 51340 61910 105247 123820 210494 420988 526235 595411 1052470 1190822 2104940 2381644 2977055 5954110 10121987 11908220 20243974 24411851 40487948 48823702 50609935 89907061 97647404 101219870 122059255 179814122 202439740 244118510 359628244 415001467 449535305 488237020 830002934 899070610 1528420037 1660005868 1798141220 2075007335 3056840074 3686189501 4150014670 6113680148 7372379002 7642100185 8300029340 14744758004 15284200370 18430947505 30568400740 36861895010 62665221517 73723790020 125330443034 250660886068 313326107585 626652215170 1253304430340