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413132043340143 = 323731051128990841
BaseRepresentation
bin101110111101111011100110…
…0101100000100100101101111
32000011210001000102121022202200
41131323313030230010211233
5413122223411043341033
64022354123550352543
7153006543110402211
oct13573671454044557
92004701012538680
10413132043340143
1110a700352154186
123a4039114bb753
131496a25251acaa
1474039aa2765b1
1532b67a4bed013
hex177bdccb0496f

413132043340143 has 48 divisors (see below), whose sum is σ = 599386685932320. Its totient is φ = 274205699712000.

The previous prime is 413132043340141. The next prime is 413132043340169. The reversal of 413132043340143 is 341043340231314.

413132043340143 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 3 + 204 + 3 + 3 + 401 + 43 = 666.

It is not a de Polignac number, because 413132043340143 - 21 = 413132043340141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413132043340098 and 413132043340107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413132043340141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4547813403 + ... + 4547904243.

It is an arithmetic number, because the mean of its divisors is an integer number (12487222623590).

Almost surely, 2413132043340143 is an apocalyptic number.

413132043340143 is a deficient number, since it is larger than the sum of its proper divisors (186254642592177).

413132043340143 is a wasteful number, since it uses less digits than its factorization.

413132043340143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93560 (or 93557 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 413132043340143 its reverse (341043340231314), we get a palindrome (754175383571457).

The spelling of 413132043340143 in words is "four hundred thirteen trillion, one hundred thirty-two billion, forty-three million, three hundred forty thousand, one hundred forty-three".

Divisors: 1 3 9 373 1051 1119 1289 3153 3357 3867 9459 11601 90841 272523 392023 480797 817569 1176069 1354739 1442391 3528207 4064217 4327173 12192651 33883693 95473891 101651079 117094049 286421673 304953237 351282147 505317647 859265019 1053846441 1515952941 4547858823 35611761343 43676080277 106835284029 123065845499 131028240831 320505852087 369197536497 393084722493 1107592609491 45903560371127 137710681113381 413132043340143