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20444020122024 = 23322363531943243
BaseRepresentation
bin1001010010111111111101…
…00011101010000110101000
32200101102120220122202211100
410221133332203222012220
510134423323122401044
6111251504142201400
74210013606545032
oct451377643520650
980342526582740
1020444020122024
116572295425674
122362230b83260
13b53b2a81cb55
145096d289cc52
15256be1163869
hex1297fe8ea1a8

20444020122024 has 96 divisors (see below), whose sum is σ = 57785702719680. Its totient is φ = 6517353841152.

The previous prime is 20444020121983. The next prime is 20444020122037. The reversal of 20444020122024 is 42022102044402.

20444020122024 is a `hidden beast` number, since 2 + 0 + 4 + 440 + 2 + 0 + 12 + 202 + 4 = 666.

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, 9548947 + ... + 11492189.

It is an arithmetic number, because the mean of its divisors is an integer number (601934403330).

Almost surely, 220444020122024 is an apocalyptic number.

20444020122024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20444020122024 is an abundant number, since it is smaller than the sum of its proper divisors (37341682597656).

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

20444020122024 is a wasteful number, since it uses less digits than its factorization.

20444020122024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949631 (or 1949624 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 20444020122024 its reverse (42022102044402), we get a palindrome (62466122166426).

The spelling of 20444020122024 in words is "twenty trillion, four hundred forty-four billion, twenty million, one hundred twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 6353 12706 19059 25412 38118 50824 57177 76236 114354 146119 152472 228708 292238 438357 457416 584476 876714 1168952 1315071 1753428 1943243 2630142 3506856 3886486 5260284 5829729 7772972 10520568 11659458 15545944 17489187 23318916 34978374 44694589 46637832 69956748 89389178 134083767 139913496 178778356 268167534 357556712 402251301 536335068 804502602 1072670136 1609005204 3218010408 12345422779 24690845558 37036268337 49381691116 74072536674 98763382232 111108805011 148145073348 222217610022 283944723917 296290146696 444435220044 567889447834 851834171751 888870440088 1135778895668 1703668343502 2271557791336 2555502515253 3407336687004 5111005030506 6814673374008 10222010061012 20444020122024