Search a number
-
+
2450451024315 = 335737916994027
BaseRepresentation
bin100011101010001010010…
…000110100100110111011
322200021001010220210122000
4203222022100310212323
5310122010430234230
65113415513432043
7342016314015360
oct43521220644673
98607033823560
102450451024315
118652597a14a8
12336ab710b623
1314a0cc20a408
148686122a467
1543b1db5cb60
hex23a8a4349bb

2450451024315 has 128 divisors (see below), whose sum is σ = 4996008960000. Its totient is φ = 1116315623808.

The previous prime is 2450451024293. The next prime is 2450451024319. The reversal of 2450451024315 is 5134201540542.

2450451024315 is a `hidden beast` number, since 2 + 4 + 504 + 5 + 102 + 43 + 1 + 5 = 666.

It is not a de Polignac number, because 2450451024315 - 28 = 2450451024059 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2450451024315.

It is not an unprimeable number, because it can be changed into a prime (2450451024319) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 608503332 + ... + 608507358.

It is an arithmetic number, because the mean of its divisors is an integer number (39031320000).

Almost surely, 22450451024315 is an apocalyptic number.

2450451024315 is an abundant number, since it is smaller than the sum of its proper divisors (2545557935685).

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

2450451024315 is a wasteful number, since it uses less digits than its factorization.

2450451024315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6126 (or 6120 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 2450451024315 its reverse (5134201540542), we get a palindrome (7584652564857).

The spelling of 2450451024315 in words is "two trillion, four hundred fifty billion, four hundred fifty-one million, twenty-four thousand, three hundred fifteen".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 379 945 1137 1699 1895 2653 3411 4027 5097 5685 7959 8495 10233 11893 12081 13265 15291 17055 20135 23877 25485 28189 35679 36243 39795 45873 51165 59465 60405 71631 76455 84567 107037 108729 119385 140945 178395 181215 229365 253701 321111 358155 422835 535185 543645 643921 761103 1268505 1526233 1605555 1931763 3219605 3805515 4507447 4578699 5795289 6841873 7631165 9658815 10683631 13522341 13736097 17385867 20525619 22537235 22893495 28976445 32050893 34209365 40567023 41208291 47893111 53418155 61576857 67611705 68680485 86929335 96152679 102628095 121701069 143679333 160254465 184730571 202835115 206041455 239465555 288458037 307884285 431037999 480763395 608505345 718396665 923652855 1293113997 1442290185 2155189995 2593069867 6465569985 7779209601 12965349335 18151489069 23337628803 38896048005 54454467207 70012886409 90757445345 116688144015 163363401621 272272336035 350064432045 490090204863 816817008105 2450451024315