Search a number
-
+
1484199335040 = 27356112672467
BaseRepresentation
bin10101100110010001001…
…011001001010010000000
312020212222101220012012020
4111212101023021102000
5143304120012210130
63053455354401440
7212141562122652
oct25462113112200
95225871805166
101484199335040
115224999169a4
121bb793430280
13a9c61a43b06
1451b9ad866d2
152891a12ae10
hex159912c9480

1484199335040 has 128 divisors (see below), whose sum is σ = 4808441257920. Its totient is φ = 389298155520.

The previous prime is 1484199335039. The next prime is 1484199335057. The reversal of 1484199335040 is 405339914841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×14841993350402 (a number of 25 digits) contains 22 as substring.

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, 6219114 + ... + 6453353.

Almost surely, 21484199335040 is an apocalyptic number.

1484199335040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1484199335040 is an abundant number, since it is smaller than the sum of its proper divisors (3324241922880).

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

1484199335040 is a wasteful number, since it uses less digits than its factorization.

1484199335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12672550 (or 12672538 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 1484199335040 in words is "one trillion, four hundred eighty-four billion, one hundred ninety-nine million, three hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 120 122 128 160 183 192 240 244 305 320 366 384 480 488 610 640 732 915 960 976 1220 1464 1830 1920 1952 2440 2928 3660 3904 4880 5856 7320 7808 9760 11712 14640 19520 23424 29280 39040 58560 117120 12672467 25344934 38017401 50689868 63362335 76034802 101379736 126724670 152069604 190087005 202759472 253449340 304139208 380174010 405518944 506898680 608278416 760348020 773020487 811037888 1013797360 1216556832 1520696040 1546040974 1622075776 2027594720 2319061461 2433113664 3041392080 3092081948 3865102435 4055189440 4638122922 4866227328 6082784160 6184163896 7730204870 8110378880 9276245844 11595307305 12165568320 12368327792 15460409740 18552491688 23190614610 24331136640 24736655584 30920819480 37104983376 46381229220 49473311168 61841638960 74209966752 92762458440 98946622336 123683277920 148419933504 185524916880 247366555840 296839867008 371049833760 494733111680 742099667520 1484199335040