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2314141520 = 245238112149
BaseRepresentation
bin1000100111101110…
…1111111101010000
312222021110120101012
42021323233331100
514214410012040
61021344030052
7111226610165
oct21173577520
95867416335
102314141520
11a882aa859
12547002328
132ab586b12
1417d4b006c
15d8266865
hex89eeff50

2314141520 has 40 divisors (see below), whose sum is σ = 5383081800. Its totient is φ = 925191680.

The previous prime is 2314141463. The next prime is 2314141547. The reversal of 2314141520 is 251414132.

It can be written as a sum of positive squares in 4 ways, for example, as 167857936 + 2146283584 = 12956^2 + 46328^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184406 + ... + 196554.

It is an arithmetic number, because the mean of its divisors is an integer number (134577045).

Almost surely, 22314141520 is an apocalyptic number.

2314141520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2314141520 is an abundant number, since it is smaller than the sum of its proper divisors (3068940280).

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

2314141520 is a wasteful number, since it uses less digits than its factorization.

2314141520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14543 (or 14537 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 2314141520 is about 48105.5248386295. The cubic root of 2314141520 is about 1322.7059428690.

Adding to 2314141520 its reverse (251414132), we get a palindrome (2565555652).

The spelling of 2314141520 in words is "two billion, three hundred fourteen million, one hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2381 4762 9524 11905 12149 19048 23810 24298 38096 47620 48596 60745 95240 97192 121490 190480 194384 242980 485960 971920 28926769 57853538 115707076 144633845 231414152 289267690 462828304 578535380 1157070760 2314141520