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20412313330224 = 2432943341023679
BaseRepresentation
bin1001010010000100111001…
…01011110110001000110000
32200021101202012201212021010
410221002130223312020300
510133413404203031344
6111225142015430520
74204512103345554
oct451023453661060
980241665655233
1020412313330224
11655a8a47aa702
122358062525440
13b50b46970c9a
14507d658c1864
15255e877938b9
hex12909caf6230

20412313330224 has 80 divisors (see below), whose sum is σ = 55818755942400. Its totient is φ = 6416701525248.

The previous prime is 20412313330207. The next prime is 20412313330271. The reversal of 20412313330224 is 42203331321402.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20412313330191 and 20412313330200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170451984 + ... + 170571695.

It is an arithmetic number, because the mean of its divisors is an integer number (697734449280).

Almost surely, 220412313330224 is an apocalyptic number.

20412313330224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20412313330224 is an abundant number, since it is smaller than the sum of its proper divisors (35406442612176).

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

20412313330224 is a wasteful number, since it uses less digits than its factorization.

20412313330224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341023762 (or 341023756 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 20412313330224 its reverse (42203331321402), we get a palindrome (62615644651626).

The spelling of 20412313330224 in words is "twenty trillion, four hundred twelve billion, three hundred thirteen million, three hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 43 48 58 86 87 116 129 172 174 232 258 344 348 464 516 688 696 1032 1247 1392 2064 2494 3741 4988 7482 9976 14964 19952 29928 59856 341023679 682047358 1023071037 1364094716 2046142074 2728189432 4092284148 5456378864 8184568296 9889686691 14664018197 16369136592 19779373382 29328036394 29669060073 39558746764 43992054591 58656072788 59338120146 79117493528 87984109182 117312145576 118676240292 158234987056 175968218364 234624291152 237352480584 351936436728 425256527713 474704961168 703872873456 850513055426 1275769583139 1701026110852 2551539166278 3402052221704 5103078332556 6804104443408 10206156665112 20412313330224