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20332121442024 = 23372311346565807
BaseRepresentation
bin1001001111101111100001…
…11000000100011011101000
32122222201202111112212010210
410213313300320010123220
510131110141042121044
6111124240405141120
74165642631503260
oct447676070043350
978881674485123
1020332121442024
116529893551137
1223446023ba7a0
13b46406b62172
145041194767a0
15253d4251e1b9
hex127df0e046e8

20332121442024 has 128 divisors (see below), whose sum is σ = 61153944330240. Its totient is φ = 5507431007232.

The previous prime is 20332121442023. The next prime is 20332121442041. The reversal of 20332121442024 is 42024412123302.

It is a junction number, because it is equal to n+sod(n) for n = 20332121441982 and 20332121442000.

It is not an unprimeable number, because it can be changed into a prime (20332121442023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22846272 + ... + 23719535.

It is an arithmetic number, because the mean of its divisors is an integer number (477765190080).

Almost surely, 220332121442024 is an apocalyptic number.

20332121442024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20332121442024 is an abundant number, since it is smaller than the sum of its proper divisors (40821822888216).

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

20332121442024 is a wasteful number, since it uses less digits than its factorization.

20332121442024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46565959 (or 46565955 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 20332121442024 its reverse (42024412123302), we get a palindrome (62356533565326).

The spelling of 20332121442024 in words is "twenty trillion, three hundred thirty-two billion, one hundred twenty-one million, four hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 113 138 161 168 184 226 276 322 339 452 483 552 644 678 791 904 966 1288 1356 1582 1932 2373 2599 2712 3164 3864 4746 5198 6328 7797 9492 10396 15594 18193 18984 20792 31188 36386 54579 62376 72772 109158 145544 218316 436632 46565807 93131614 139697421 186263228 279394842 325960649 372526456 558789684 651921298 977881947 1071013561 1117579368 1303842596 1955763894 2142027122 2607685192 3213040683 3911527788 4284054244 5261936191 6426081366 7497094927 7823055576 8568108488 10523872382 12852162732 14994189854 15785808573 21047744764 22491284781 25704325464 29988379708 31571617146 36833553337 42095489528 44982569562 59976759416 63143234292 73667106674 89965139124 110500660011 121024532393 126286468584 147334213348 179930278248 221001320022 242049064786 294668426696 363073597179 442002640044 484098129572 726147194358 847171726751 884005280088 968196259144 1452294388716 1694343453502 2541515180253 2904588777432 3388686907004 5083030360506 6777373814008 10166060721012 20332121442024