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1403432314141 = 11131923294716477
BaseRepresentation
bin10100011011000011000…
…101011010010100011101
311222011111121111102022211
4110123003011122110131
5140443212133023031
62552421121040421
7203252234561554
oct24330305322435
94864447442284
101403432314141
114a1212a54750
121a7bb2786111
13a245ca350a0
144bcd83c8d9b
152678e64bbb1
hex146c315a51d

1403432314141 has 128 divisors (see below), whose sum is σ = 1913451724800. Its totient is φ = 1008426101760.

The previous prime is 1403432314087. The next prime is 1403432314159. The reversal of 1403432314141 is 1414132343041.

It is not a de Polignac number, because 1403432314141 - 227 = 1403298096413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1403432014141) 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 127 ways as a sum of consecutive naturals, for example, 85166995 + ... + 85183471.

It is an arithmetic number, because the mean of its divisors is an integer number (14948841600).

Almost surely, 21403432314141 is an apocalyptic number.

1403432314141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1403432314141 is a deficient number, since it is larger than the sum of its proper divisors (510019410659).

1403432314141 is a wasteful number, since it uses less digits than its factorization.

1403432314141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16619.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 1403432314141 its reverse (1414132343041), we get a palindrome (2817564657182).

The spelling of 1403432314141 in words is "one trillion, four hundred three billion, four hundred thirty-two million, three hundred fourteen thousand, one hundred forty-one".

Divisors: 1 11 13 19 23 29 47 143 209 247 253 299 319 377 437 517 551 611 667 893 1081 1363 2717 3289 4147 4807 5681 6061 6721 7163 7337 8671 9823 11609 11891 12673 14053 14993 16477 17719 20539 25897 31349 62491 78793 95381 127699 139403 154583 164749 181247 194909 214201 225929 267007 284867 313063 336661 344839 378971 407537 477833 595631 774419 1812239 2356211 2937077 3443693 3703271 4069819 4168681 4482907 4926623 5256163 6211829 6551941 7200449 7743203 8518609 9078827 10067447 10990159 14713961 17811637 22458151 44768009 54192853 68330119 79204939 85175233 93605837 99867097 110741917 118024751 120891749 142872067 161853571 191281493 195928007 208813021 231551281 247039661 291955963 338421103 426704869 516537473 1029664207 1298272261 1571592737 2104096423 2296943231 2547064091 2714569273 3211515593 3722632133 4399474339 4693753559 5547163297 5681912203 6714987149 9814211987 29860262003 48394217729 61018796267 73864858639 107956331857 127584755831 1403432314141