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10042440144 = 2431119019773
BaseRepresentation
bin10010101101001001…
…10111100111010000
3221220212121211001120
421112210313213100
5131031331041034
64340300202240
7503601222102
oct112644674720
927825554046
1010042440144
114293771a10
121b43239380
13c40729899
146b3a4d572
153db992c49
hex2569379d0

10042440144 has 40 divisors (see below), whose sum is σ = 28301423712. Its totient is φ = 3043163520.

The previous prime is 10042440103. The next prime is 10042440179. The reversal of 10042440144 is 44104424001.

It is a happy number.

10042440144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 9509359 + ... + 9510414.

Almost surely, 210042440144 is an apocalyptic number.

It is an amenable number.

10042440144 is an abundant number, since it is smaller than the sum of its proper divisors (18258983568).

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

10042440144 is a wasteful number, since it uses less digits than its factorization.

10042440144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19019795 (or 19019789 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10042440144 its reverse (44104424001), we get a palindrome (54146864145).

The spelling of 10042440144 in words is "ten billion, forty-two million, four hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 19019773 38039546 57059319 76079092 114118638 152158184 209217503 228237276 304316368 418435006 456474552 627652509 836870012 912949104 1255305018 1673740024 2510610036 3347480048 5021220072 10042440144