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1002154203414 = 232713611815753
BaseRepresentation
bin11101001010101010000…
…10111001100100010110
310112210201211221022000200
432211111002321210112
5112404402434002124
62044214442321330
7132255213115320
oct16452502714426
93483654838020
101002154203414
11357013a158a1
121422834b9246
137366c684110
143670c5a2610
151b105938bc9
hexe9550b9916

1002154203414 has 48 divisors (see below), whose sum is σ = 2672411213472. Its totient is φ = 264304404864.

The previous prime is 1002154203389. The next prime is 1002154203431. The reversal of 1002154203414 is 4143024512001.

1002154203414 is a `hidden beast` number, since 10 + 0 + 215 + 4 + 20 + 3 + 414 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 305906239 + ... + 305909514.

It is an arithmetic number, because the mean of its divisors is an integer number (55675233614).

Almost surely, 21002154203414 is an apocalyptic number.

1002154203414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1002154203414 is an abundant number, since it is smaller than the sum of its proper divisors (1670257010058).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1002154203414 is a wasteful number, since it uses less digits than its factorization.

1002154203414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611815781 (or 611815778 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1002154203414 its reverse (4143024512001), we get a palindrome (5145178715415).

The spelling of 1002154203414 in words is "one trillion, two billion, one hundred fifty-four million, two hundred three thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 611815753 1223631506 1835447259 3670894518 4282710271 5506341777 7953604789 8565420542 11012683554 12848130813 15907209578 23860814367 25696261626 38544392439 47721628734 55675233523 71582443101 77088784878 111350467046 143164886202 167025700569 334051401138 501077101707 1002154203414