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114211515040 = 2557101974567
BaseRepresentation
bin110101001011110001…
…0010110101010100000
3101220210121010002220121
41222113202112222200
53332401121440130
6124245033050024
711152160600650
oct1522742265240
9356717102817
10114211515040
1144489471757
121a175256914
13aa01ba7c3c
145756676360
152e86bedd7a
hex1a97896aa0

114211515040 has 48 divisors (see below), whose sum is σ = 308371093632. Its totient is φ = 39158233344.

The previous prime is 114211515031. The next prime is 114211515043. The reversal of 114211515040 is 40515112411.

It is a happy number.

114211515040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 114211514996 and 114211515014.

It is not an unprimeable number, because it can be changed into a prime (114211515043) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 50986164 + ... + 50988403.

It is an arithmetic number, because the mean of its divisors is an integer number (6424397784).

Almost surely, 2114211515040 is an apocalyptic number.

114211515040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114211515040 is an abundant number, since it is smaller than the sum of its proper divisors (194159578592).

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

114211515040 is a wasteful number, since it uses less digits than its factorization.

114211515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101974589 (or 101974581 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 25.

Adding to 114211515040 its reverse (40515112411), we get a palindrome (154726627451).

The spelling of 114211515040 in words is "one hundred fourteen billion, two hundred eleven million, five hundred fifteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 101974567 203949134 407898268 509872835 713821969 815796536 1019745670 1427643938 1631593072 2039491340 2855287876 3263186144 3569109845 4078982680 5710575752 7138219690 8157965360 11421151504 14276439380 16315930720 22842303008 28552878760 57105757520 114211515040