Search a number
-
+
1304324515305 = 325723292761507
BaseRepresentation
bin10010111110101111110…
…011001010010111101001
311121200200121200120222200
4102332233303022113221
5132332224033442210
62435110505010413
7163143243310620
oct22765763122751
94550617616880
101304324515305
11463185204589
12190953783a09
1395cc701b336
14471b5a546b7
1523ddd8ed0c0
hex12fafcca5e9

1304324515305 has 96 divisors (see below), whose sum is σ = 2697109069824. Its totient is φ = 570134049408.

The previous prime is 1304324515229. The next prime is 1304324515321. The reversal of 1304324515305 is 5035154234031.

1304324515305 is a `hidden beast` number, since 1 + 30 + 43 + 2 + 4 + 51 + 530 + 5 = 666.

It is not a de Polignac number, because 1304324515305 - 211 = 1304324513257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1304324515305.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21175362 + ... + 21236868.

It is an arithmetic number, because the mean of its divisors is an integer number (28094886144).

Almost surely, 21304324515305 is an apocalyptic number.

1304324515305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1304324515305 is an abundant number, since it is smaller than the sum of its proper divisors (1392784554519).

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

1304324515305 is a wasteful number, since it uses less digits than its factorization.

1304324515305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64475 (or 64472 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 1304324515305 its reverse (5035154234031), we get a palindrome (6339478749336).

The spelling of 1304324515305 in words is "one trillion, three hundred four billion, three hundred twenty-four million, five hundred fifteen thousand, three hundred five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 105 115 161 207 315 345 483 805 1035 1449 2415 2927 7245 8781 14635 20489 26343 43905 61467 61507 67321 102445 131715 184401 184521 201963 307335 307535 336605 430549 471247 553563 605889 922005 922605 1009815 1291647 1413741 1414661 2152745 2356235 2767815 3029445 3874941 4241223 4243983 6458235 7068705 7073305 9902627 12731949 19374705 21206115 21219915 29707881 49513135 63659745 89123643 148539405 180030989 445618215 540092967 900154945 1260216923 1620278901 2700464835 3780650769 4140712747 6301084615 8101394505 11341952307 12422138241 18903253845 20703563735 28984989229 37266414723 56709761535 62110691205 86954967687 144924946145 186332073615 260864903061 434774838435 1304324515305