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385348071341 = 1922960672
BaseRepresentation
bin1011001101110001000…
…10001110111110101101
31100211122120101021102102
411212320202032332231
522303143101240331
6453005414304445
736561166363562
oct5467042167655
91324576337372
10385348071341
11139474a38552
1262824358125
132a451c5167c
14149182a6869
15a05543b4cb
hex59b888efad

385348071341 has 18 divisors (see below), whose sum is σ = 420790386510. Its totient is φ = 352419993072.

The previous prime is 385348071293. The next prime is 385348071371. The reversal of 385348071341 is 143170843583.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 332196613225 + 53151458116 = 576365^2 + 230546^2 .

It is a de Polignac number, because none of the positive numbers 2k-385348071341 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385348071371) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 63512390 + ... + 63518456.

It is an arithmetic number, because the mean of its divisors is an integer number (23377243695).

Almost surely, 2385348071341 is an apocalyptic number.

It is an amenable number.

385348071341 is a deficient number, since it is larger than the sum of its proper divisors (35442315169).

385348071341 is an frugal number, since it uses more digits than its factorization.

385348071341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12201 (or 6115 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 47.

The spelling of 385348071341 in words is "three hundred eighty-five billion, three hundred forty-eight million, seventy-one thousand, three hundred forty-one".

Divisors: 1 19 29 361 551 6067 10469 115273 175943 2190187 3342917 36808489 63515423 699361291 1067446181 13287864529 20281477439 385348071341