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140223440444004 = 223210493713151161
BaseRepresentation
bin11111111000100001010000…
…010110110101101001100100
3200101111020012122212011021100
4133320201100112311221210
5121334410101223202004
61214121431555120100
741351544400522011
oct3770412026655144
9611436178764240
10140223440444004
1140752477570a15
12138882aa5a3030
136032024120c88
14268abca58c708
151132800772739
hex7f88505b5a64

140223440444004 has 36 divisors (see below), whose sum is σ = 354791593529100. Its totient is φ = 46696588988160.

The previous prime is 140223440443951. The next prime is 140223440444047. The reversal of 140223440444004 is 400444044322041.

It is a happy number.

140223440444004 is a `hidden beast` number, since 14 + 0 + 2 + 234 + 4 + 0 + 4 + 4 + 400 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 119021117702400 + 21202322741604 = 10909680^2 + 4604598^2 .

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

It is a super-2 number, since 2×1402234404440042 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 140223440444004.

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, 1856537817 + ... + 1856613344.

It is an arithmetic number, because the mean of its divisors is an integer number (9855322042475).

Almost surely, 2140223440444004 is an apocalyptic number.

It is an amenable number.

140223440444004 is an abundant number, since it is smaller than the sum of its proper divisors (214568153085096).

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

140223440444004 is a wasteful number, since it uses less digits than its factorization.

140223440444004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3713152220 (or 3713152215 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 140223440444004 its reverse (400444044322041), we get a palindrome (540667484766045).

The spelling of 140223440444004 in words is "one hundred forty trillion, two hundred twenty-three billion, four hundred forty million, four hundred forty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 1049 2098 3147 4196 6294 9441 12588 18882 37764 3713151161 7426302322 11139453483 14852604644 22278906966 33418360449 44557813932 66836720898 133673441796 3895095567889 7790191135778 11685286703667 15580382271556 23370573407334 35055860111001 46741146814668 70111720222002 140223440444004