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24002420442 = 237111337108011
BaseRepresentation
bin10110010110101001…
…111101111011011010
32021221202210021220220
4112112221331323122
5343124104423232
615005423100510
71506542131110
oct262651757332
967852707826
1024002420442
11a1a7816810
12479a441736
132356965c60
141239aa9ab0
1595731d42c
hex596a7deda

24002420442 has 128 divisors (see below), whose sum is σ = 66196666368. Its totient is φ = 5599238400.

The previous prime is 24002420399. The next prime is 24002420461. The reversal of 24002420442 is 24402420042.

It is a super-2 number, since 2×240024204422 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 168217 + ... + 276227.

It is an arithmetic number, because the mean of its divisors is an integer number (517161456).

Almost surely, 224002420442 is an apocalyptic number.

24002420442 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 24002420442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33098333184).

24002420442 is an abundant number, since it is smaller than the sum of its proper divisors (42194245926).

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

24002420442 is a wasteful number, since it uses less digits than its factorization.

24002420442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108084.

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 24002420442 its reverse (24402420042), we get a palindrome (48404840484).

It can be divided in two parts, 24002 and 420442, that added together give a palindrome (444444).

The spelling of 24002420442 in words is "twenty-four billion, two million, four hundred twenty thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 37 39 42 66 74 77 78 91 111 143 154 182 222 231 259 273 286 407 429 462 481 518 546 777 814 858 962 1001 1221 1443 1554 2002 2442 2849 2886 3003 3367 5291 5698 6006 6734 8547 10101 10582 15873 17094 20202 31746 37037 74074 108011 111111 216022 222222 324033 648066 756077 1188121 1404143 1512154 2268231 2376242 2808286 3564363 3996407 4212429 4536462 7128726 7992814 8316847 8424858 9829001 11989221 15445573 16633694 19658002 23978442 24950541 27974849 29487003 30891146 43960477 46336719 49901082 51953291 55949698 58974006 83924547 87920954 92673438 103906582 108119011 131881431 155859873 167849094 216238022 263762862 307723339 311719746 324357033 363673037 571486201 615446678 648714066 727346074 923170017 1091019111 1142972402 1714458603 1846340034 2182038222 3428917206 4000403407 8000806814 12001210221 24002420442