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1413851040 = 253257140263
BaseRepresentation
bin101010001000101…
…1010011110100000
310122112102002000100
41110101122132200
510343421213130
6352143422400
750015351460
oct12421323640
93575362010
101413851040
1166609a238
123355b4a00
13196bbb164
14d5ab9ba0
15841cdc60
hex5445a7a0

1413851040 has 144 divisors (see below), whose sum is σ = 5514058368. Its totient is φ = 323163648.

The previous prime is 1413850987. The next prime is 1413851041. The reversal of 1413851040 is 401583141.

It is a happy number.

1413851040 is a `hidden beast` number, since 14 + 138 + 510 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1413850995 and 1413851013.

It is not an unprimeable number, because it can be changed into a prime (1413851041) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 60052 + ... + 80211.

It is an arithmetic number, because the mean of its divisors is an integer number (38292072).

Almost surely, 21413851040 is an apocalyptic number.

1413851040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1413851040 is an abundant number, since it is smaller than the sum of its proper divisors (4100207328).

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

1413851040 is a wasteful number, since it uses less digits than its factorization.

1413851040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140291 (or 140280 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1413851040 is about 37601.2106188085. The cubic root of 1413851040 is about 1122.3661287134.

The spelling of 1413851040 in words is "one billion, four hundred thirteen million, eight hundred fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 140263 280526 420789 561052 701315 841578 981841 1122104 1262367 1402630 1683156 1963682 2103945 2244208 2524734 2805260 2945523 3366312 3927364 4207890 4488416 4909205 5049468 5610520 5891046 6311835 6732624 7854728 8415780 8836569 9818410 10098936 11221040 11782092 12623670 13465248 14727615 15709456 16831560 17673138 19636820 20197872 22442080 23564184 25247340 29455230 31418912 33663120 35346276 39273640 40395744 44182845 47128368 50494680 58910460 67326240 70692552 78547280 88365690 94256736 100989360 117820920 141385104 157094560 176731380 201978720 235641840 282770208 353462760 471283680 706925520 1413851040