Search a number
-
+
241220435232 = 2537834324807
BaseRepresentation
bin1110000010100111011…
…0111011110100100000
3212001122001210202101210
43200221312323310200
512423004412411412
6302452023030120
723266444604010
oct3405166736440
9761561722353
10241220435232
11933347132a7
123a90029b340
131999319c45a
14b9647bbc40
15641c18183c
hex3829dbbd20

241220435232 has 96 divisors (see below), whose sum is σ = 732380285952. Its totient is φ = 68089745664.

The previous prime is 241220435231. The next prime is 241220435293. The reversal of 241220435232 is 232534022142.

241220435232 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 241220435232.

It is not an unprimeable number, because it can be changed into a prime (241220435231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2106628 + ... + 2218179.

It is an arithmetic number, because the mean of its divisors is an integer number (7628961312).

Almost surely, 2241220435232 is an apocalyptic number.

It is an amenable number.

241220435232 is an abundant number, since it is smaller than the sum of its proper divisors (491159850720).

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

241220435232 is a wasteful number, since it uses less digits than its factorization.

241220435232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4324910 (or 4324902 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 241220435232 its reverse (232534022142), we get a palindrome (473754457374).

The spelling of 241220435232 in words is "two hundred forty-one billion, two hundred twenty million, four hundred thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 83 84 96 112 166 168 224 249 332 336 498 581 664 672 996 1162 1328 1743 1992 2324 2656 3486 3984 4648 6972 7968 9296 13944 18592 27888 55776 4324807 8649614 12974421 17299228 25948842 30273649 34598456 51897684 60547298 69196912 90820947 103795368 121094596 138393824 181641894 207590736 242189192 358958981 363283788 415181472 484378384 717917962 726567576 968756768 1076876943 1435835924 1453135152 2153753886 2512712867 2871671848 2906270304 4307507772 5025425734 5743343696 7538138601 8615015544 10050851468 11486687392 15076277202 17230031088 20101702936 30152554404 34460062176 40203405872 60305108808 80406811744 120610217616 241220435232