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531041125400145 = 3552350337779487
BaseRepresentation
bin111100010111110101010010…
…1101000111111111001010001
32120122021000222002101121200000
41320233222211220333321101
51024101034211100301040
65121232531455320213
7216566312064420003
oct17057524550777121
92518230862347600
10531041125400145
1114422a305090618
124b6873b2520069
1319a40c6a356069
14951c755a8c373
15415d8e9627130
hex1e2faa5a3fe51

531041125400145 has 96 divisors (see below), whose sum is σ = 998045820076032. Its totient is φ = 270369344912832.

The previous prime is 531041125400119. The next prime is 531041125400173. The reversal of 531041125400145 is 541004521140135.

531041125400145 is a `hidden beast` number, since 5 + 3 + 104 + 1 + 1 + 2 + 5 + 400 + 145 = 666.

It is not a de Polignac number, because 531041125400145 - 25 = 531041125400113 is a prime.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4833409 + ... + 32946078.

It is an arithmetic number, because the mean of its divisors is an integer number (10396310625792).

Almost surely, 2531041125400145 is an apocalyptic number.

It is an amenable number.

531041125400145 is a deficient number, since it is larger than the sum of its proper divisors (467004694675887).

531041125400145 is a wasteful number, since it uses less digits than its factorization.

531041125400145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37780033 (or 37780021 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 531041125400145 in words is "five hundred thirty-one trillion, forty-one billion, one hundred twenty-five million, four hundred thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 23 27 45 69 81 115 135 207 243 345 405 503 621 1035 1215 1509 1863 2515 3105 4527 5589 7545 9315 11569 13581 22635 27945 34707 40743 57845 67905 104121 122229 173535 203715 312363 520605 611145 937089 1561815 2811267 4685445 14056335 37779487 113338461 188897435 340015383 566692305 868928201 1020046149 1700076915 2606784603 3060138447 4344641005 5100230745 7820353809 9180415341 13033923015 15300692235 19003081961 23461061427 39101769045 45902076705 57009245883 70383184281 95015409805 117305307135 171027737649 211149552843 285046229415 351915921405 437070885103 513083212947 855138688245 1055747764215 1311212655309 1539249638841 2185354425515 2565416064735 3933637965927 4617748916523 6556063276545 7696248194205 11800913897781 19668189829635 23088744582615 35402741693343 59004569488905 106208225080029 177013708466715 531041125400145