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144087901141 = 312283529807
BaseRepresentation
bin1000011000110001001…
…1101110001111010101
3111202220201210202220011
42012030103232033111
54330043000314031
6150105411440221
713260426644302
oct2061423561725
9452821722804
10144087901141
115611a955838
1223b128b6071
131078377c202
146d8c5040a9
153b34a5b6b1
hex218c4ee3d5

144087901141 has 12 divisors (see below), whose sum is σ = 149412213696. Its totient is φ = 138946921560.

The previous prime is 144087901127. The next prime is 144087901151. The reversal of 144087901141 is 141109780441.

144087901141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144087901141 - 29 = 144087900629 is a prime.

It is a super-2 number, since 2×1440879011412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144087901094 and 144087901103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144087901151) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7060 + ... + 536866.

It is an arithmetic number, because the mean of its divisors is an integer number (12451017808).

Almost surely, 2144087901141 is an apocalyptic number.

It is an amenable number.

144087901141 is a deficient number, since it is larger than the sum of its proper divisors (5324312555).

144087901141 is an equidigital number, since it uses as much as digits as its factorization.

144087901141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530152 (or 530121 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 40.

The spelling of 144087901141 in words is "one hundred forty-four billion, eighty-seven million, nine hundred one thousand, one hundred forty-one".

Divisors: 1 31 283 961 8773 271963 529807 16424017 149935381 509144527 4647996811 144087901141