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1331412240 = 243547118033
BaseRepresentation
bin100111101011011…
…1011110100010000
310102210021202020110
41033112323310100
510211320142430
6340040441320
744664550224
oct11726736420
93383252213
101331412240
116236027a4
12311a79240
13182ab59c2
14c8b7a784
157bd477b0
hex4f5bbd10

1331412240 has 80 divisors (see below), whose sum is σ = 4215230208. Its totient is φ = 347486208.

The previous prime is 1331412223. The next prime is 1331412241. The reversal of 1331412240 is 422141331.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1331412241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47737 + ... + 70296.

Almost surely, 21331412240 is an apocalyptic number.

1331412240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331412240 is an abundant number, since it is smaller than the sum of its proper divisors (2883817968).

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

1331412240 is a wasteful number, since it uses less digits than its factorization.

1331412240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118096 (or 118090 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1331412240 is about 36488.5220309072. The cubic root of 1331412240 is about 1100.1135530158.

Adding to 1331412240 its reverse (422141331), we get a palindrome (1753553571).

The spelling of 1331412240 in words is "one billion, three hundred thirty-one million, four hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1880 2256 2820 3760 5640 11280 118033 236066 354099 472132 590165 708198 944264 1180330 1416396 1770495 1888528 2360660 2832792 3540990 4721320 5547551 5665584 7081980 9442640 11095102 14163960 16642653 22190204 27737755 28327920 33285306 44380408 55475510 66570612 83213265 88760816 110951020 133141224 166426530 221902040 266282448 332853060 443804080 665706120 1331412240