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385314732345 = 351931371178711
BaseRepresentation
bin1011001101101101000…
…11000011100100111001
31100211120020122110220210
411212312203003210321
522303111032413340
6453002223541333
736560313120414
oct5466643034471
91324506573823
10385314732345
11139458137464
126281515a849
132a44807a95a
1414913aa8b7b
15a052553180
hex59b68c3939

385314732345 has 64 divisors (see below), whose sum is σ = 687990620160. Its totient is φ = 183312979200.

The previous prime is 385314732301. The next prime is 385314732349. The reversal of 385314732345 is 543237413583.

It is a happy number.

It is not a de Polignac number, because 385314732345 - 27 = 385314732217 is a prime.

It is a super-4 number, since 4×3853147323454 (a number of 47 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 385314732294 and 385314732303.

It is not an unprimeable number, because it can be changed into a prime (385314732349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 262461 + ... + 916250.

It is an arithmetic number, because the mean of its divisors is an integer number (10749853440).

Almost surely, 2385314732345 is an apocalyptic number.

It is an amenable number.

385314732345 is a deficient number, since it is larger than the sum of its proper divisors (302675887815).

385314732345 is a wasteful number, since it uses less digits than its factorization.

385314732345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178806.

The product of its digits is 3628800, while the sum is 48.

The spelling of 385314732345 in words is "three hundred eighty-five billion, three hundred fourteen million, seven hundred thirty-two thousand, three hundred forty-five".

Divisors: 1 3 5 15 19 31 37 57 93 95 111 155 185 285 465 555 589 703 1147 1767 2109 2945 3441 3515 5735 8835 10545 17205 21793 65379 108965 326895 1178711 3536133 5893555 17680665 22395509 36540041 43612307 67186527 109620123 111977545 130836921 182700205 218061535 335932635 548100615 654184605 694260779 828633833 1351981517 2082782337 2485901499 3471303895 4055944551 4143169165 6759907585 10413911685 12429507495 20279722755 25687648823 77062946469 128438244115 385314732345