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1314483421905 = 3251916739723189
BaseRepresentation
bin10011001000001101010…
…100010100001011010001
311122122220121110111222200
4103020031110110023101
5133014030224000110
62443510525353413
7163653060506253
oct23101524241321
94578817414880
101314483421905
11467518694465
12192909a08869
1396c55905684
144789ad3dcd3
15242d56e96c0
hex1320d5142d1

1314483421905 has 96 divisors (see below), whose sum is σ = 2418898809600. Its totient is φ = 658491710976.

The previous prime is 1314483421879. The next prime is 1314483421931. The reversal of 1314483421905 is 5091243844131.

1314483421905 is a `hidden beast` number, since 1 + 3 + 144 + 83 + 421 + 9 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (1314483421879) and next prime (1314483421931).

It is not a de Polignac number, because 1314483421905 - 29 = 1314483421393 is a prime.

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

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, 56674051 + ... + 56697239.

It is an arithmetic number, because the mean of its divisors is an integer number (25196862600).

Almost surely, 21314483421905 is an apocalyptic number.

1314483421905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1314483421905 is a deficient number, since it is larger than the sum of its proper divisors (1104415387695).

1314483421905 is a wasteful number, since it uses less digits than its factorization.

1314483421905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23783 (or 23780 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1314483421905 in words is "one trillion, three hundred fourteen billion, four hundred eighty-three million, four hundred twenty-one thousand, nine hundred five".

Divisors: 1 3 5 9 15 19 45 57 95 167 171 285 397 501 835 855 1191 1503 1985 2505 3173 3573 5955 7515 7543 9519 15865 17865 22629 23189 28557 37715 47595 66299 67887 69567 113145 115945 142785 198897 208701 331495 339435 347835 440591 596691 994485 1043505 1259681 1321773 2202955 2983455 3779043 3872563 3965319 6298405 6608865 9206033 11337129 11617689 18895215 19362815 19826595 27618099 34853067 46030165 56685645 58088445 73578697 82854297 138090495 174265335 174914627 220736091 367893485 414271485 524743881 662208273 874573135 1103680455 1537407511 1574231643 2623719405 3311041365 4612222533 7687037555 7871158215 13836667599 23061112665 29210742709 69183337995 87632228127 146053713545 262896684381 438161140635 1314483421905