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1331240000 = 2654231447
BaseRepresentation
bin100111101011001…
…0001110001000000
310102202221222222012
41033112101301000
510211244140000
6340033032052
744663232116
oct11726216100
93382858865
101331240000
116234a5352
123119b5628
13182a5549c
14c8b33ab6
157bd11735
hex4f591c40

1331240000 has 140 divisors (see below), whose sum is σ = 3446946624. Its totient is φ = 508992000.

The previous prime is 1331239957. The next prime is 1331240011. The reversal of 1331240000 is 421331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 919277 + ... + 920723.

Almost surely, 21331240000 is an apocalyptic number.

1331240000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723473312).

1331240000 is an abundant number, since it is smaller than the sum of its proper divisors (2115706624).

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

1331240000 is an equidigital number, since it uses as much as digits as its factorization.

1331240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1331240000 is about 36486.1617603167. The cubic root of 1331240000 is about 1100.0661117290.

Adding to 1331240000 its reverse (421331), we get a palindrome (1331661331).

The spelling of 1331240000 in words is "one billion, three hundred thirty-one million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 125 160 184 200 230 250 320 368 400 460 500 575 625 736 800 920 1000 1150 1250 1447 1472 1600 1840 2000 2300 2500 2875 2894 3680 4000 4600 5000 5750 5788 7235 7360 8000 9200 10000 11500 11576 14375 14470 18400 20000 23000 23152 28750 28940 33281 36175 36800 40000 46000 46304 57500 57880 66562 72350 92000 92608 115000 115760 133124 144700 166405 180875 184000 230000 231520 266248 289400 332810 361750 460000 463040 532496 578800 665620 723500 832025 904375 920000 1064992 1157600 1331240 1447000 1664050 1808750 2129984 2315200 2662480 2894000 3328100 3617500 4160125 5324960 5788000 6656200 7235000 8320250 10649920 11576000 13312400 14470000 16640500 20800625 26624800 28940000 33281000 41601250 53249600 57880000 66562000 83202500 133124000 166405000 266248000 332810000 665620000 1331240000