Search a number
-
+
24202404240 = 2435714406193
BaseRepresentation
bin10110100010100100…
…110110000110010000
32022110201002112010020
4112202210312012100
5344031303413430
615041325303440
71514521020210
oct264244660620
968421075106
1024202404240
11a29a698583
124835404b80
132389215a71
141258486240
15969b72b10
hex5a2936190

24202404240 has 80 divisors (see below), whose sum is σ = 85745666688. Its totient is φ = 5531977728.

The previous prime is 24202404223. The next prime is 24202404299. The reversal of 24202404240 is 4240420242.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 24202404240.

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, 7201417 + ... + 7204776.

Almost surely, 224202404240 is an apocalyptic number.

24202404240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24202404240 is an abundant number, since it is smaller than the sum of its proper divisors (61543262448).

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

24202404240 is a wasteful number, since it uses less digits than its factorization.

24202404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14406216 (or 14406210 counting only the distinct ones).

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

Adding to 24202404240 its reverse (4240420242), we get a palindrome (28442824482).

The spelling of 24202404240 in words is "twenty-four billion, two hundred two million, four hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 14406193 28812386 43218579 57624772 72030965 86437158 100843351 115249544 144061930 172874316 201686702 216092895 230499088 288123860 302530053 345748632 403373404 432185790 504216755 576247720 605060106 691497264 806746808 864371580 1008433510 1152495440 1210120212 1512650265 1613493616 1728743160 2016867020 2420240424 3025300530 3457486320 4033734040 4840480848 6050601060 8067468080 12101202120 24202404240