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2442004225420 = 2251943672230589
BaseRepresentation
bin100011100010010010110…
…010110101110110001100
322122110020110202221212111
4203202102302311312030
5310002211040203140
65105501413313404
7341300066300464
oct43422262656614
98573213687774
102442004225420
118617147a4471
1233533a335864
1314938424b666
148629d498ba4
15437c73077ea
hex23892cb5d8c

2442004225420 has 96 divisors (see below), whose sum is σ = 5606097235200. Its totient is φ = 890379350784.

The previous prime is 2442004225403. The next prime is 2442004225433. The reversal of 2442004225420 is 245224002442.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20515 + ... + 2210074.

It is an arithmetic number, because the mean of its divisors is an integer number (58396846200).

Almost surely, 22442004225420 is an apocalyptic number.

2442004225420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2442004225420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803048617600).

2442004225420 is an abundant number, since it is smaller than the sum of its proper divisors (3164093009780).

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

2442004225420 is a wasteful number, since it uses less digits than its factorization.

2442004225420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230727 (or 2230725 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 31.

Adding to 2442004225420 its reverse (245224002442), we get a palindrome (2687228227862).

The spelling of 2442004225420 in words is "two trillion, four hundred forty-two billion, four million, two hundred twenty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 43 67 76 86 95 134 172 190 215 268 335 380 430 670 817 860 1273 1340 1634 2546 2881 3268 4085 5092 5762 6365 8170 11524 12730 14405 16340 25460 28810 54739 57620 109478 218956 273695 547390 1094780 2230589 4461178 8922356 11152945 22305890 42381191 44611780 84762382 95915327 149449463 169524764 191830654 211905955 298898926 383661308 423811910 479576635 597797852 747247315 847623820 959153270 1494494630 1822391213 1918306540 2839539797 2988989260 3644782426 5679079594 6426326909 7289564852 9111956065 11358159188 12852653818 14197698985 18223912130 25705307636 28395397970 32131634545 36447824260 56790795940 64263269090 122100211271 128526538180 244200422542 488400845084 610501056355 1221002112710 2442004225420