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144431143050405 = 3523267932679491
BaseRepresentation
bin100000110101101111111110…
…111110011101110010100101
3200221101111000200122111021110
4200311233332332131302211
5122412324440110103110
61231102430124535233
742264543236536431
oct4065577676356245
9627344020574243
10144431143050405
11420249a3a379a2
12142478816b1519
136278a4bc84333
14279470c9819c1
1511a6ebb005a20
hex835bfef9dca5

144431143050405 has 48 divisors (see below), whose sum is σ = 241609707896256. Its totient is φ = 73669940931840.

The previous prime is 144431143050401. The next prime is 144431143050407. The reversal of 144431143050405 is 504050341134441.

It is not a de Polignac number, because 144431143050405 - 22 = 144431143050401 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144431143050401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52562710 + ... + 55242200.

It is an arithmetic number, because the mean of its divisors is an integer number (5033535581172).

Almost surely, 2144431143050405 is an apocalyptic number.

144431143050405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144431143050405 is a deficient number, since it is larger than the sum of its proper divisors (97178564845851).

144431143050405 is a wasteful number, since it uses less digits than its factorization.

144431143050405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2686338 (or 2686315 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

Adding to 144431143050405 its reverse (504050341134441), we get a palindrome (648481484184846).

The spelling of 144431143050405 in words is "one hundred forty-four trillion, four hundred thirty-one billion, one hundred forty-three million, fifty thousand, four hundred five".

Divisors: 1 3 5 15 23 69 115 345 529 1587 2645 6793 7935 20379 33965 101895 156239 468717 781195 2343585 2679491 3593497 8038473 10780491 13397455 17967485 40192365 53902455 61628293 184884879 308141465 924424395 1417450739 4252352217 7087253695 18201782363 21261761085 54605347089 91008911815 273026735445 418640994349 1255922983047 2093204971745 6279614915235 9628742870027 28886228610081 48143714350135 144431143050405