Search a number
-
+
2430147456 = 273211191773
BaseRepresentation
bin1001000011011001…
…0001101110000000
320021100202021121100
42100312101232000
514434104204311
61041050254400
7114135625002
oct22066215600
96240667540
102430147456
111037833830
12579a27400
132c9612a99
14190a6a372
15e352da56
hex90d91b80

2430147456 has 96 divisors (see below), whose sum is σ = 7628769720. Its totient is φ = 736404480.

The previous prime is 2430147439. The next prime is 2430147509. The reversal of 2430147456 is 6547410342.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2430147456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83215 + ... + 108558.

Almost surely, 22430147456 is an apocalyptic number.

It is an amenable number.

2430147456 is an abundant number, since it is smaller than the sum of its proper divisors (5198622264).

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

2430147456 is a wasteful number, since it uses less digits than its factorization.

2430147456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191804 (or 191789 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2430147456 is about 49296.5258005065. The cubic root of 2430147456 is about 1344.4486172450.

Adding to 2430147456 its reverse (6547410342), we get a palindrome (8977557798).

The spelling of 2430147456 in words is "two billion, four hundred thirty million, one hundred forty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 6336 12672 191773 383546 575319 767092 1150638 1534184 1725957 2109503 2301276 3068368 3451914 4219006 4602552 6136736 6328509 6903828 8438012 9205104 12273472 12657018 13807656 16876024 18410208 18985527 24546944 25314036 27615312 33752048 36820416 37971054 50628072 55230624 67504096 73640832 75942108 101256144 110461248 135008192 151884216 202512288 220922496 270016384 303768432 405024576 607536864 810049152 1215073728 2430147456