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2042302512312 = 2332732691444483
BaseRepresentation
bin11101101110000010101…
…101110011110010111000
321020020112120111010120100
4131232002231303302320
5231430113420343222
64202115410355400
7300360105632526
oct35560255636270
97206476433510
102042302512312
11718154586467
1228b98ab8bb60
1311a78565b44a
1470bc2b81316
15381d1bd04ac
hex1db82b73cb8

2042302512312 has 96 divisors (see below), whose sum is σ = 5627854112400. Its totient is φ = 668945392128.

The previous prime is 2042302512311. The next prime is 2042302512331. The reversal of 2042302512312 is 2132152032402.

2042302512312 is a `hidden beast` number, since 2 + 0 + 42 + 302 + 5 + 1 + 2 + 312 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042302512311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 691623 + ... + 2136105.

Almost surely, 22042302512312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042302512312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813927056200).

2042302512312 is an abundant number, since it is smaller than the sum of its proper divisors (3585551600088).

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

2042302512312 is a wasteful number, since it uses less digits than its factorization.

2042302512312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444837 (or 1444830 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 2042302512312 its reverse (2132152032402), we get a palindrome (4174454544714).

The spelling of 2042302512312 in words is "two trillion, forty-two billion, three hundred two million, five hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 269 292 438 538 584 657 807 876 1076 1314 1614 1752 2152 2421 2628 3228 4842 5256 6456 9684 19368 19637 39274 58911 78548 117822 157096 176733 235644 353466 471288 706932 1413864 1444483 2888966 4333449 5777932 8666898 11555864 13000347 17333796 26000694 34667592 52001388 104002776 105447259 210894518 316341777 388565927 421789036 632683554 777131854 843578072 949025331 1165697781 1265367108 1554263708 1898050662 2331395562 2530734216 3108527416 3497093343 3796101324 4662791124 6994186686 7592202648 9325582248 13988373372 27976746744 28365312671 56730625342 85095938013 113461250684 170191876026 226922501368 255287814039 340383752052 510575628078 680767504104 1021151256156 2042302512312