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1003141340442 = 232419257146837
BaseRepresentation
bin11101001100011111110…
…00100001110100011010
310112220021122102001110100
432212033320201310122
5112413413140343232
62044500424200230
7132321530463663
oct16461770416432
93486248361410
101003141340442
1135748015351a
121424ba009076
1373799039577
14367a372236a
151b162428c7c
hexe98fe21d1a

1003141340442 has 48 divisors (see below), whose sum is σ = 2226740122152. Its totient is φ = 326187363840.

The previous prime is 1003141340393. The next prime is 1003141340489. The reversal of 1003141340442 is 2440431413001.

1003141340442 is a `hidden beast` number, since 1 + 0 + 0 + 314 + 1 + 340 + 4 + 4 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 381060524601 + 622080815841 = 617301^2 + 788721^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6758248 + ... + 6905084.

Almost surely, 21003141340442 is an apocalyptic number.

1003141340442 is an abundant number, since it is smaller than the sum of its proper divisors (1223598781710).

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

1003141340442 is a wasteful number, since it uses less digits than its factorization.

1003141340442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156143 (or 156140 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1003141340442 its reverse (2440431413001), we get a palindrome (3443572753443).

The spelling of 1003141340442 in words is "one trillion, three billion, one hundred forty-one million, three hundred forty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 9257 18514 27771 55542 83313 146837 166626 293674 379537 440511 759074 881022 1138611 1321533 2277222 2643066 3415833 6020317 6831666 12040634 18060951 36121902 54182853 108365706 1359270109 2718540218 4077810327 8155620654 12233430981 24466861962 55730074469 111460148938 167190223407 334380446814 501570670221 1003141340442