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21042004344032 = 2571571297461317
BaseRepresentation
bin1001100100011001110010…
…01100011011110011100000
32202111121002110110200202102
410302030321030123303200
510224223011103002112
6112430321403305532
74301143324555220
oct462147114336340
982447073420672
1021042004344032
116782955985341
12243a0b881b2a8
13b9833896a4c9
1452a61d13c080
1526753e053bc2
hex13233931bce0

21042004344032 has 96 divisors (see below), whose sum is σ = 47682906118848. Its totient is φ = 8953634267136.

The previous prime is 21042004344007. The next prime is 21042004344059. The reversal of 21042004344032 is 23044340024012.

It is a super-2 number, since 2×210420043440322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21042004343986 and 21042004344004.

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, 45382238 + ... + 45843554.

It is an arithmetic number, because the mean of its divisors is an integer number (496696938738).

Almost surely, 221042004344032 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 21042004344032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23841453059424).

21042004344032 is an abundant number, since it is smaller than the sum of its proper divisors (26640901774816).

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

21042004344032 is a wasteful number, since it uses less digits than its factorization.

21042004344032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462788 (or 462780 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 21042004344032 its reverse (23044340024012), we get a palindrome (44086344368044).

The spelling of 21042004344032 in words is "twenty-one trillion, forty-two billion, four million, three hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 157 224 314 628 1099 1256 1297 2198 2512 2594 4396 5024 5188 8792 9079 10376 17584 18158 20752 35168 36316 41504 72632 145264 203629 290528 407258 461317 814516 922634 1425403 1629032 1845268 2850806 3229219 3258064 3690536 5701612 6458438 6516128 7381072 11403224 12916876 14762144 22806448 25833752 45612896 51667504 72426769 103335008 144853538 289707076 506987383 579414152 598328149 1013974766 1158828304 1196656298 2027949532 2317656608 2393312596 4055899064 4188297043 4786625192 8111798128 8376594086 9573250384 16223596256 16753188172 19146500768 33506376344 67012752688 93937519393 134025505376 187875038786 375750077572 657562635751 751500155144 1315125271502 1503000310288 2630250543004 3006000620576 5260501086008 10521002172016 21042004344032