Search a number
-
+
2427253229340 = 22325107126025609
BaseRepresentation
bin100011010100100011100…
…100010000011100011100
322121001011110011201100100
4203110203210100130130
5304232003311314330
65055021552301100
7340235412014142
oct43244344203434
98531143151310
102427253229340
11856435195815
12332502241790
13147b73186804
14856a0371592
15432122cc060
hex2352391071c

2427253229340 has 72 divisors (see below), whose sum is σ = 7431478170480. Its totient is φ = 641218293504.

The previous prime is 2427253229329. The next prime is 2427253229377. The reversal of 2427253229340 is 439223527242.

2427253229340 is a `hidden beast` number, since 2 + 4 + 2 + 72 + 532 + 2 + 9 + 3 + 40 = 666.

It is a super-3 number, since 3×24272532293403 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 62993545 + ... + 63032064.

It is an arithmetic number, because the mean of its divisors is an integer number (103214974590).

Almost surely, 22427253229340 is an apocalyptic number.

2427253229340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2427253229340 is an abundant number, since it is smaller than the sum of its proper divisors (5004224941140).

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

2427253229340 is a wasteful number, since it uses less digits than its factorization.

2427253229340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126025731 (or 126025726 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 2427253229340 in words is "two trillion, four hundred twenty-seven billion, two hundred fifty-three million, two hundred twenty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 321 428 535 642 963 1070 1284 1605 1926 2140 3210 3852 4815 6420 9630 19260 126025609 252051218 378076827 504102436 630128045 756153654 1134230481 1260256090 1512307308 1890384135 2268460962 2520512180 3780768270 4536921924 5671152405 7561536540 11342304810 13484740163 22684609620 26969480326 40454220489 53938960652 67423700815 80908440978 121362661467 134847401630 161816881956 202271102445 242725322934 269694803260 404542204890 485450645868 606813307335 809084409780 1213626614670 2427253229340