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1345104266355 = 325311676139419
BaseRepresentation
bin10011100100101110011…
…101100100010001110011
311202120221121222120211200
4103210232131210101303
5134014233143010410
62505533220342243
7166115636421243
oct23445635442163
94676847876750
101345104266355
11479501323083
12198834844983
1399ac57b3c45
14491639d9b23
1524ec8aac3c0
hex1392e764473

1345104266355 has 96 divisors (see below), whose sum is σ = 2425342832640. Its totient is φ = 688891288320.

The previous prime is 1345104266339. The next prime is 1345104266383. The reversal of 1345104266355 is 5536624015431.

It is a happy number.

1345104266355 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 1 + 0 + 4 + 2 + 6 + 635 + 5 = 666.

It is not a de Polignac number, because 1345104266355 - 24 = 1345104266339 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1345104266355.

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, 142802836 + ... + 142812254.

It is an arithmetic number, because the mean of its divisors is an integer number (25263987840).

Almost surely, 21345104266355 is an apocalyptic number.

1345104266355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1345104266355 is a deficient number, since it is larger than the sum of its proper divisors (1080238566285).

1345104266355 is a wasteful number, since it uses less digits than its factorization.

1345104266355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10241 (or 10238 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 1345104266355 in words is "one trillion, three hundred forty-five billion, one hundred four million, two hundred sixty-six thousand, three hundred fifty-five".

Divisors: 1 3 5 9 15 31 45 93 155 167 279 465 501 613 835 1395 1503 1839 2505 3065 5177 5517 7515 9195 9419 15531 19003 25885 27585 28257 46593 47095 57009 77655 84771 95015 102371 141285 171027 232965 285045 291989 307113 423855 511855 855135 875967 921339 1459945 1535565 1572973 2627901 3173501 4379835 4606695 4718919 5773847 7864865 9520503 13139505 14156757 15867505 17321541 23594595 28561509 28869235 47602515 48762163 51964623 70783785 86607705 142807545 146286489 178989257 243810815 259823115 438859467 536967771 731432445 894946285 964232449 1610903313 2194297335 2684838855 2892697347 4821162245 8054516565 8678092041 14463486735 29891205919 43390460205 89673617757 149456029595 269020853271 448368088785 1345104266355