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4121442024 = 233783295571
BaseRepresentation
bin1111010110101000…
…0011011011101000
3101122020012221120220
43311222003123220
531420042121044
61520544450040
7204063451650
oct36552033350
911566187526
104121442024
1118254a0437
12970319920
13508b31abb
142b1527360
15191c63019
hexf5a836e8

4121442024 has 64 divisors (see below), whose sum is σ = 11917463040. Its totient is φ = 1163363520.

The previous prime is 4121442001. The next prime is 4121442037. The reversal of 4121442024 is 4202441214.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4121441985 and 4121442003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133842 + ... + 161729.

It is an arithmetic number, because the mean of its divisors is an integer number (186210360).

Almost surely, 24121442024 is an apocalyptic number.

It is an amenable number.

4121442024 is an abundant number, since it is smaller than the sum of its proper divisors (7796021016).

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

4121442024 is a wasteful number, since it uses less digits than its factorization.

4121442024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295670 (or 295666 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4121442024 is about 64198.4581123254. The cubic root of 4121442024 is about 1603.3059281117.

Adding to 4121442024 its reverse (4202441214), we get a palindrome (8323883238).

It can be divided in two parts, 41214 and 42024, that added together give a palindrome (83238).

The spelling of 4121442024 in words is "four billion, one hundred twenty-one million, four hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 83 84 166 168 249 332 498 581 664 996 1162 1743 1992 2324 3486 4648 6972 13944 295571 591142 886713 1182284 1773426 2068997 2364568 3546852 4137994 6206991 7093704 8275988 12413982 16551976 24532393 24827964 49064786 49655928 73597179 98129572 147194358 171726751 196259144 294388716 343453502 515180253 588777432 686907004 1030360506 1373814008 2060721012 4121442024