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1344425132304 = 2432171932845561
BaseRepresentation
bin10011100100000101111…
…110111000000100010000
311202112012022002000001200
4103210011332320010100
5134011340313213204
62505342000231200
7166063052033502
oct23440576700420
94675168060050
101344425132304
11479192a35671
1219868530b500
1399a17b9c187
14490db733d72
1524e8915c539
hex13905fb8110

1344425132304 has 120 divisors (see below), whose sum is σ = 4004491109112. Its totient is φ = 419594895360.

The previous prime is 1344425132269. The next prime is 1344425132333. The reversal of 1344425132304 is 4032315244431.

1344425132304 is a `hidden beast` number, since 1 + 34 + 44 + 251 + 32 + 304 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22734608400 + 1321690523904 = 150780^2 + 1149648^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 950317 + ... + 1895244.

Almost surely, 21344425132304 is an apocalyptic number.

It is an amenable number.

1344425132304 is an abundant number, since it is smaller than the sum of its proper divisors (2660065976808).

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

1344425132304 is a wasteful number, since it uses less digits than its factorization.

1344425132304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2845785 (or 2845776 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 1344425132304 in words is "one trillion, three hundred forty-four billion, four hundred twenty-five million, one hundred thirty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 193 204 272 306 386 408 579 612 772 816 1158 1224 1544 1737 2316 2448 3088 3281 3474 4632 6562 6948 9264 9843 13124 13896 19686 26248 27792 29529 39372 52496 59058 78744 118116 157488 236232 472464 2845561 5691122 8536683 11382244 17073366 22764488 25610049 34146732 45528976 48374537 51220098 68293464 96749074 102440196 136586928 145123611 193498148 204880392 290247222 386996296 409760784 435370833 549193273 580494444 773992592 870741666 1098386546 1160988888 1647579819 1741483332 2196773092 2321977776 3295159638 3482966664 4393546184 4942739457 6590319276 6965933328 8787092368 9336285641 9885478914 13180638552 18672571282 19770957828 26361277104 28008856923 37345142564 39541915656 56017713846 74690285128 79083831312 84026570769 112035427692 149380570256 168053141538 224070855384 336106283076 448141710768 672212566152 1344425132304