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110220014444040 = 23325306166706789
BaseRepresentation
bin11001000011111010011000…
…110011101101111000001000
3112110020221010022112120100200
4121003322120303231320020
5103421321042144202130
61030230213044532200
732134063464446424
oct3103723063557010
9473227108476320
10110220014444040
11321350557a6436
12104414639b1060
134966919c84817
141d3096a1c7b84
15cb211ed07760
hex643e98cede08

110220014444040 has 48 divisors (see below), whose sum is σ = 358215046944300. Its totient is φ = 29392003851648.

The previous prime is 110220014444039. The next prime is 110220014444101. The reversal of 110220014444040 is 40444410022011.

It is a happy number.

110220014444040 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 200 + 14 + 4 + 440 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 109446455495556 + 773558948484 = 10461666^2 + 879522^2 .

It is a junction number, because it is equal to n+sod(n) for n = 110220014443995 and 110220014444013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153083353035 + ... + 153083353754.

Almost surely, 2110220014444040 is an apocalyptic number.

110220014444040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110220014444040 is an abundant number, since it is smaller than the sum of its proper divisors (247995032500260).

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

110220014444040 is a wasteful number, since it uses less digits than its factorization.

110220014444040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306166706806 (or 306166706799 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 110220014444040 its reverse (40444410022011), we get a palindrome (150664424466051).

The spelling of 110220014444040 in words is "one hundred ten trillion, two hundred twenty billion, fourteen million, four hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 306166706789 612333413578 918500120367 1224666827156 1530833533945 1837000240734 2449333654312 2755500361101 3061667067890 3674000481468 4592500601835 5511000722202 6123334135780 7348000962936 9185001203670 11022001444404 12246668271560 13777501805505 18370002407340 22044002888808 27555003611010 36740004814680 55110007222020 110220014444040