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114033134440 = 23523251122611
BaseRepresentation
bin110101000110011100…
…1111000101101101000
3101220100011110102201201
41222030321320231220
53332014440300230
6124215221453544
711144563435621
oct1521471705550
9356304412651
10114033134440
11443a7805775
121a1255712b4
13a9a3c501a4
14573aac0a48
152e762155ca
hex1a8ce78b68

114033134440 has 32 divisors (see below), whose sum is σ = 256587680160. Its totient is φ = 45610920000.

The previous prime is 114033134431. The next prime is 114033134489. The reversal of 114033134440 is 44431330411.

It is a happy number.

It is a super-2 number, since 2×1140331344402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114033134399 and 114033134408.

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, 868735 + ... + 991345.

It is an arithmetic number, because the mean of its divisors is an integer number (8018365005).

Almost surely, 2114033134440 is an apocalyptic number.

114033134440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114033134440 is an abundant number, since it is smaller than the sum of its proper divisors (142554545720).

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

114033134440 is a wasteful number, since it uses less digits than its factorization.

114033134440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145873 (or 145869 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 114033134440 its reverse (44431330411), we get a palindrome (158464464851).

The spelling of 114033134440 in words is "one hundred fourteen billion, thirty-three million, one hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 23251 46502 93004 116255 122611 186008 232510 245222 465020 490444 613055 930040 980888 1226110 2452220 4904440 2850828361 5701656722 11403313444 14254141805 22806626888 28508283610 57016567220 114033134440