Search a number
-
+
1341004003515 = 335112119368813
BaseRepresentation
bin10011100000111010000…
…100010011100010111011
311202012100212121122122000
4103200322010103202323
5133432334011103030
62504014305432043
7165612220646211
oct23407204234273
94665325548560
101341004003515
11477797888a00
12197a8b63b623
13995c1189207
1448c95226cb1
1524d38b2e860
hex1383a1138bb

1341004003515 has 96 divisors (see below), whose sum is σ = 2622672198720. Its totient is φ = 649629319680.

The previous prime is 1341004003499. The next prime is 1341004003597. The reversal of 1341004003515 is 5153004001431.

It is a happy number.

1341004003515 is a `hidden beast` number, since 1 + 3 + 4 + 100 + 40 + 0 + 3 + 515 = 666.

It is not a de Polignac number, because 1341004003515 - 24 = 1341004003499 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19453249 + ... + 19522061.

It is an arithmetic number, because the mean of its divisors is an integer number (27319502070).

Almost surely, 21341004003515 is an apocalyptic number.

1341004003515 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1341004003515 is a deficient number, since it is larger than the sum of its proper divisors (1281668195205).

1341004003515 is a wasteful number, since it uses less digits than its factorization.

1341004003515 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70042 (or 70025 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 1341004003515 its reverse (5153004001431), we get a palindrome (6494008004946).

The spelling of 1341004003515 in words is "one trillion, three hundred forty-one billion, four million, three thousand, five hundred fifteen".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 121 135 165 297 363 495 605 1089 1193 1485 1815 3267 3579 5445 5965 10737 13123 16335 17895 32211 39369 53685 65615 68813 118107 144353 161055 196845 206439 344065 354321 433059 590535 619317 721765 756943 1032195 1299177 1771605 1857951 2165295 2270829 3096585 3784715 3897531 6495885 6812487 8326373 9289755 11354145 19487655 20437461 24979119 34062435 41631865 74937357 82093909 102187305 124895595 224812071 246281727 374686785 410469545 738845181 903032999 1124060355 1231408635 2216535543 2709098997 3694225905 4515164995 8127296991 9933362989 11082677715 13545494985 24381890973 29800088967 40636484955 49666814945 89400266901 121909454865 149000444835 268200800703 447001334505 1341004003515