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24411211242 = 2311372733701
BaseRepresentation
bin10110101111000001…
…011000010111101010
32100000021000000110220
4112233001120113222
5344443232224432
615114144550510
71522634605035
oct265701302752
970007000426
1024411211242
11a397546350
124893322436
1323c05648c2
1412780bc01c
1597d16b72c
hex5af0585ea

24411211242 has 96 divisors (see below), whose sum is σ = 55504056384. Its totient is φ = 7096896000.

The previous prime is 24411211211. The next prime is 24411211243. The reversal of 24411211242 is 24211211442.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (24411211243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6593992 + ... + 6597692.

It is an arithmetic number, because the mean of its divisors is an integer number (578167254).

Almost surely, 224411211242 is an apocalyptic number.

24411211242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 24411211242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27752028192).

24411211242 is an abundant number, since it is smaller than the sum of its proper divisors (31092845142).

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

24411211242 is a wasteful number, since it uses less digits than its factorization.

24411211242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3864 (or 3827 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

Adding to 24411211242 its reverse (24211211442), we get a palindrome (48622422684).

The spelling of 24411211242 in words is "twenty-four billion, four hundred eleven million, two hundred eleven thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 37 66 73 74 111 146 219 222 407 438 803 814 1221 1369 1606 2409 2442 2701 2738 3701 4107 4818 5402 7402 8103 8214 11103 15059 16206 22206 29711 30118 40711 45177 59422 81422 89133 90354 99937 122133 136937 178266 199874 244266 270173 273874 299811 410811 540346 599622 810519 821622 1099307 1506307 1621038 2198614 2971903 3012614 3297921 4518921 5066669 5943806 6595842 8915709 9037842 9996401 10133338 15200007 17831418 19992802 29989203 30400014 55733359 59978406 109960411 111466718 167200077 219920822 329881233 334400154 369866837 659762466 739733674 1109600511 2219201022 4068535207 8137070414 12205605621 24411211242