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2442145420 = 225113137057
BaseRepresentation
bin1001000110010000…
…0010111010001100
320022012022211201101
42101210002322030
520000142123140
61042155352444
7114342615331
oct22144027214
96265284641
102442145420
111043589000
12581a52724
132cbc53b80
141924b0988
15e45ed99a
hex91902e8c

2442145420 has 96 divisors (see below), whose sum is σ = 6075752256. Its totient is φ = 819624960.

The previous prime is 2442145417. The next prime is 2442145441. The reversal of 2442145420 is 245412442.

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, 342532 + ... + 349588.

It is an arithmetic number, because the mean of its divisors is an integer number (63289086).

Almost surely, 22442145420 is an apocalyptic number.

2442145420 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 2442145420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3037876128).

2442145420 is an abundant number, since it is smaller than the sum of its proper divisors (3633606836).

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

2442145420 is a wasteful number, since it uses less digits than its factorization.

2442145420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7112 (or 7088 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

The square root of 2442145420 is about 49418.0677485472. The cubic root of 2442145420 is about 1346.6575603356.

Adding to 2442145420 its reverse (245412442), we get a palindrome (2687557862).

The spelling of 2442145420 in words is "two billion, four hundred forty-two million, one hundred forty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 121 130 143 220 242 260 286 484 572 605 715 1210 1331 1430 1573 2420 2662 2860 3146 5324 6292 6655 7057 7865 13310 14114 15730 17303 26620 28228 31460 34606 35285 69212 70570 77627 86515 91741 141140 155254 173030 183482 310508 346060 366964 388135 458705 776270 853897 917410 1009151 1552540 1707794 1834820 2018302 3415588 4036604 4269485 5045755 8538970 9392867 10091510 11100661 17077940 18785734 20183020 22201322 37571468 44402644 46964335 55503305 93928670 111006610 122107271 187857340 222013220 244214542 488429084 610536355 1221072710 2442145420