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1605314234020 = 225721796357397
BaseRepresentation
bin10111010111000100001…
…011110100011010100100
312200110121002221112120111
4113113010023310122210
5202300140420442040
63225245435142404
7223660116563500
oct27270413643244
95613532845514
101605314234020
115698a0042132
1221b1545a4a04
13b84c3bc7503
14579aa3c9300
152bb57e0bdea
hex175c42f46a4

1605314234020 has 72 divisors (see below), whose sum is σ = 4152232994616. Its totient is φ = 518017360896.

The previous prime is 1605314234011. The next prime is 1605314234057. The reversal of 1605314234020 is 204324135061.

It can be written as a sum of positive squares in 4 ways, for example, as 442988749476 + 1162325484544 = 665574^2 + 1078112^2 .

It is a super-3 number, since 3×16053142340203 (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48162039 + ... + 48195358.

It is an arithmetic number, because the mean of its divisors is an integer number (57669902703).

Almost surely, 21605314234020 is an apocalyptic number.

1605314234020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1605314234020 is an abundant number, since it is smaller than the sum of its proper divisors (2546918760596).

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

1605314234020 is a wasteful number, since it uses less digits than its factorization.

1605314234020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96357437 (or 96357428 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 1605314234020 its reverse (204324135061), we get a palindrome (1809638369081).

The spelling of 1605314234020 in words is "one trillion, six hundred five billion, three hundred fourteen million, two hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 833 980 1190 1666 2380 3332 4165 8330 16660 96357397 192714794 385429588 481786985 674501779 963573970 1349003558 1638075749 1927147940 2698007116 3276151498 3372508895 4721512453 6552302996 6745017790 8190378745 9443024906 11466530243 13490035580 16380757490 18886049812 22933060486 23607562265 32761514980 45866120972 47215124530 57332651215 80265711701 94430249060 114665302430 160531423402 229330604860 321062846804 401328558505 802657117010 1605314234020