Search a number
-
+
20433014024000 = 265311532215201
BaseRepresentation
bin1001010010101011011101…
…00010101110011101000000
32200100101011212202001200012
410221111232202232131000
510134233303042232000
6111242444055244052
74206144064343504
oct451255642563500
980311155661605
1020433014024000
116568657802296
12236007b079628
13b52a9556ba06
14508d6ac82304
15256799cbc735
hex12956e8ae740

20433014024000 has 112 divisors (see below), whose sum is σ = 50646269655696. Its totient is φ = 8166113280000.

The previous prime is 20433014023999. The next prime is 20433014024011. The reversal of 20433014024000 is 42041033402.

It can be written as a sum of positive squares in 8 ways, for example, as 1653549097216 + 18779464926784 = 1285904^2 + 4333528^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8116400 + ... + 10331600.

Almost surely, 220433014024000 is an apocalyptic number.

20433014024000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20433014024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25323134827848).

20433014024000 is an abundant number, since it is smaller than the sum of its proper divisors (30213255631696).

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

20433014024000 is a wasteful number, since it uses less digits than its factorization.

20433014024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216381 (or 2216361 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 20433014024000 its reverse (42041033402), we get a palindrome (20475055057402).

The spelling of 20433014024000 in words is "twenty trillion, four hundred thirty-three billion, fourteen million, twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1153 1600 2000 2306 4000 4612 5765 8000 9224 11530 18448 23060 28825 36896 46120 57650 73792 92240 115300 144125 184480 230600 288250 368960 461200 576500 922400 1153000 1844800 2215201 2306000 4430402 4612000 8860804 9224000 11076005 17721608 22152010 35443216 44304020 55380025 70886432 88608040 110760050 141772864 177216080 221520100 276900125 354432160 443040200 553800250 708864320 886080400 1107600500 1772160800 2215201000 2554126753 3544321600 4430402000 5108253506 8860804000 10216507012 12770633765 17721608000 20433014024 25541267530 40866028048 51082535060 63853168825 81732056096 102165070120 127706337650 163464112192 204330140240 255412675300 319265844125 408660280480 510825350600 638531688250 817320560960 1021650701200 1277063376500 2043301402400 2554126753000 4086602804800 5108253506000 10216507012000 20433014024000