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1014224232141 = 321317197391619
BaseRepresentation
bin11101100001001000111…
…10011001111011001101
310120221220000211021201200
432300210132121323031
5113104112400412031
62053532253100113
7133163264505411
oct16604436317315
93527800737650
101014224232141
1136114815804a
12144691787639
1374844197553
143713560cd41
151b5b03dd8e6
hexec24799ecd

1014224232141 has 48 divisors (see below), whose sum is σ = 1481141376000. Its totient is φ = 668734803360.

The previous prime is 1014224232097. The next prime is 1014224232149. The reversal of 1014224232141 is 1412324224101.

1014224232141 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 22 + 423 + 214 + 1 = 666.

It is not a de Polignac number, because 1014224232141 - 213 = 1014224223949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014224232149) 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, 626450230 + ... + 626451848.

It is an arithmetic number, because the mean of its divisors is an integer number (30857112000).

Almost surely, 21014224232141 is an apocalyptic number.

It is an amenable number.

1014224232141 is a deficient number, since it is larger than the sum of its proper divisors (466917143859).

1014224232141 is a wasteful number, since it uses less digits than its factorization.

1014224232141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3214 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1014224232141 its reverse (1412324224101), we get a palindrome (2426548456242).

The spelling of 1014224232141 in words is "one trillion, fourteen billion, two hundred twenty-four million, two hundred thirty-two thousand, one hundred forty-one".

Divisors: 1 3 9 131 393 719 739 1179 1619 2157 2217 4857 6471 6651 14571 94189 96809 212089 282567 290427 531341 636267 847701 871281 1164061 1196441 1594023 1908801 3492183 3589323 4782069 10476549 10767969 69605671 152491991 156733771 208817013 457475973 470201313 626451039 860241079 1372427919 1410603939 2580723237 7742169711 112691581349 338074744047 1014224232141