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144043340004311 = 111011131279034351
BaseRepresentation
bin100000110000000110110100…
…000111001111101111010111
3200220000102001000210120121012
4200300012310013033233113
5122340001230020114221
61230204332531442435
742224534150201666
oct4060066407175727
9626012030716535
10144043340004311
114199548a2595a0
12141a469315641b
13624b2c85394a7
14277da40628ddd
15119bd702d465b
hex8301b41cfbd7

144043340004311 has 32 divisors (see below), whose sum is σ = 161359019606016. Its totient is φ = 127492747200000.

The previous prime is 144043340004281. The next prime is 144043340004379. The reversal of 144043340004311 is 113400043340441.

144043340004311 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 144043340004311 - 26 = 144043340004247 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144043340064311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11426786 + ... + 20461136.

It is an arithmetic number, because the mean of its divisors is an integer number (5042469362688).

Almost surely, 2144043340004311 is an apocalyptic number.

144043340004311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

144043340004311 is a deficient number, since it is larger than the sum of its proper divisors (17315679601705).

144043340004311 is a wasteful number, since it uses less digits than its factorization.

144043340004311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9034703.

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 144043340004311 its reverse (113400043340441), we get a palindrome (257443383344752).

The spelling of 144043340004311 in words is "one hundred forty-four trillion, forty-three billion, three hundred forty million, four thousand, three hundred eleven".

Divisors: 1 11 101 113 127 1111 1243 1397 11413 12827 14351 125543 141097 157861 1449451 9034351 15943961 99377861 912469451 1020881663 1147362577 10037163961 11229698293 12620988347 103109047963 115883620277 129651971201 1134199527593 1274719823047 1426171683211 13094849091301 144043340004311