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21334210303440 = 243599789160023
BaseRepresentation
bin1001101100111010000100…
…00001101101010111010000
32210112112022210112102210110
410312131002001231113100
510244014430314202230
6113212444555201320
74331226422335266
oct466350201552720
983475283472713
1021334210303440
116885873597581
122486867a46240
13bb9a65b18978
1453a81d0aa436
1526ee4234c4b0
hex13674206d5d0

21334210303440 has 80 divisors (see below), whose sum is σ = 66202387740288. Its totient is φ = 5683416442368.

The previous prime is 21334210303433. The next prime is 21334210303459. The reversal of 21334210303440 is 4430301243312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 21334210303398 and 21334210303407.

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, 44340732 + ... + 44819291.

Almost surely, 221334210303440 is an apocalyptic number.

21334210303440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21334210303440 is an abundant number, since it is smaller than the sum of its proper divisors (44868177436848).

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

21334210303440 is a wasteful number, since it uses less digits than its factorization.

21334210303440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89161036 (or 89161030 counting only the distinct ones).

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

Adding to 21334210303440 its reverse (4430301243312), we get a palindrome (25764511546752).

The spelling of 21334210303440 in words is "twenty-one trillion, three hundred thirty-four billion, two hundred ten million, three hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 997 1994 2991 3988 4985 5982 7976 9970 11964 14955 15952 19940 23928 29910 39880 47856 59820 79760 119640 239280 89160023 178320046 267480069 356640092 445800115 534960138 713280184 891600230 1069920276 1337400345 1426560368 1783200460 2139840552 2674800690 3566400920 4279681104 5349601380 7132801840 10699202760 21398405520 88892542931 177785085862 266677628793 355570171724 444462714655 533355257586 711140343448 888925429310 1066710515172 1333388143965 1422280686896 1777850858620 2133421030344 2666776287930 3555701717240 4266842060688 5333552575860 7111403434480 10667105151720 21334210303440