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1411813480 = 235721125953
BaseRepresentation
bin101010000100110…
…1001000001101000
310122101120120000011
41110021221001220
510342411012410
6352032021304
746662134200
oct12411510150
93571516004
101411813480
11664a28400
12334991834
131966568bc
14d5709400
1583e2a18a
hex54269068

1411813480 has 144 divisors (see below), whose sum is σ = 4062354660. Its totient is φ = 439971840.

The previous prime is 1411813349. The next prime is 1411813493. The reversal of 1411813480 is 843181141.

It can be written as a sum of positive squares in 2 ways, for example, as 1179372964 + 232440516 = 34342^2 + 15246^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 234184 + ... + 240136.

Almost surely, 21411813480 is an apocalyptic number.

1411813480 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 1411813480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031177330).

1411813480 is an abundant number, since it is smaller than the sum of its proper divisors (2650541180).

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

1411813480 is a wasteful number, since it uses less digits than its factorization.

1411813480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6000 (or 5978 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 1411813480 is about 37574.1065096697. The cubic root of 1411813480 is about 1121.8267065438.

The spelling of 1411813480 in words is "one billion, four hundred eleven million, eight hundred thirteen thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 121 140 154 196 220 242 245 280 308 385 392 440 484 490 539 605 616 770 847 968 980 1078 1210 1540 1694 1960 2156 2420 2695 3080 3388 4235 4312 4840 5390 5929 5953 6776 8470 10780 11858 11906 16940 21560 23716 23812 29645 29765 33880 41671 47432 47624 59290 59530 65483 83342 118580 119060 130966 166684 208355 237160 238120 261932 291697 327415 333368 416710 458381 523864 583394 654830 720313 833420 916762 1166788 1309660 1440626 1458485 1666840 1833524 2291905 2333576 2619320 2881252 2916970 3208667 3601565 3667048 4583810 5042191 5762504 5833940 6417334 7203130 9167620 10084382 11667880 12834668 14406260 16043335 18335240 20168764 25210955 25669336 28812520 32086670 35295337 40337528 50421910 64173340 70590674 100843820 128346680 141181348 176476685 201687640 282362696 352953370 705906740 1411813480