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1331042442440 = 235263412930643
BaseRepresentation
bin10011010111101000010…
…011111101110011001000
311201020122122011220210112
4103113220103331303020
5133301433331124230
62455250014533452
7165110321041124
oct23275023756310
94636578156715
101331042442440
114735458386a7
12195b6b507288
1398694439b89
14485cc22c584
1524954315d95
hex135e84fdcc8

1331042442440 has 64 divisors (see below), whose sum is σ = 3007058947200. Its totient is φ = 530246817792.

The previous prime is 1331042442371. The next prime is 1331042442451. The reversal of 1331042442440 is 442442401331.

It is a junction number, because it is equal to n+sod(n) for n = 1331042442397 and 1331042442406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43421759 + ... + 43452401.

It is an arithmetic number, because the mean of its divisors is an integer number (46985296050).

Almost surely, 21331042442440 is an apocalyptic number.

1331042442440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331042442440 is an abundant number, since it is smaller than the sum of its proper divisors (1676016504760).

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

1331042442440 is a wasteful number, since it uses less digits than its factorization.

1331042442440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35046 (or 35042 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 1331042442440 its reverse (442442401331), we get a palindrome (1773484843771).

The spelling of 1331042442440 in words is "one trillion, three hundred thirty-one billion, forty-two million, four hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 263 526 1052 1315 2104 2630 4129 5260 8258 10520 16516 20645 30643 33032 41290 61286 82580 122572 153215 165160 245144 306430 612860 1085927 1225720 2171854 4343708 5429635 8059109 8687416 10859270 16118218 21718540 32236436 40295545 43437080 64472872 80591090 126524947 161182180 253049894 322364360 506099788 632624735 1012199576 1265249470 2530498940 5060997880 33276061061 66552122122 133104244244 166380305305 266208488488 332760610610 665521221220 1331042442440