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440120000052 = 223212799558683
BaseRepresentation
bin1100110011110010011…
…00100011111000110100
31120002000201102112121200
412121321030203320310
524202331210000202
6534104403012500
743540404163125
oct6317114437064
91502021375550
10440120000052
1115a7212a2237
127136b36a130
1332670517845
141743268a04c
15b6adbd5e1c
hex6679323e34

440120000052 has 36 divisors (see below), whose sum is σ = 1113395512320. Its totient is φ = 146591947152.

The previous prime is 440119999981. The next prime is 440120000053. The reversal of 440120000052 is 250000021044.

440120000052 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4401200000522 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440120000053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4733298 + ... + 4825385.

It is an arithmetic number, because the mean of its divisors is an integer number (30927653120).

Almost surely, 2440120000052 is an apocalyptic number.

It is an amenable number.

440120000052 is an abundant number, since it is smaller than the sum of its proper divisors (673275512268).

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

440120000052 is a wasteful number, since it uses less digits than its factorization.

440120000052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9559972 (or 9559967 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 440120000052 its reverse (250000021044), we get a palindrome (690120021096).

The spelling of 440120000052 in words is "four hundred forty billion, one hundred twenty million, fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 1279 2558 3837 5116 7674 11511 15348 23022 46044 9558683 19117366 28676049 38234732 57352098 86028147 114704196 172056294 344112588 12225555557 24451111114 36676666671 48902222228 73353333342 110030000013 146706666684 220060000026 440120000052