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1004132201040 = 2435551652891
BaseRepresentation
bin11101001110010101111…
…00010111001001010000
310112222211200212222200000
432213022330113021100
5112422430320413130
62045143021530000
7132355221611253
oct16471274271120
93488750788600
101004132201040
113579394a4781
12142735a13900
13738c63c6807
143685917109a
151b1be402260
hexe9caf17250

1004132201040 has 120 divisors (see below), whose sum is σ = 3497107399968. Its totient is φ = 267768581760.

The previous prime is 1004132201029. The next prime is 1004132201041. The reversal of 1004132201040 is 401022314001.

1004132201040 is a `hidden beast` number, since 10 + 0 + 413 + 2 + 201 + 0 + 40 = 666.

1004132201040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004132201041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25807006 + ... + 25845885.

Almost surely, 21004132201040 is an apocalyptic number.

1004132201040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004132201040 is an abundant number, since it is smaller than the sum of its proper divisors (2492975198928).

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

1004132201040 is an equidigital number, since it uses as much as digits as its factorization.

1004132201040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51652919 (or 51652901 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1004132201040 its reverse (401022314001), we get a palindrome (1405154515041).

The spelling of 1004132201040 in words is "one trillion, four billion, one hundred thirty-two million, two hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 9720 19440 51652891 103305782 154958673 206611564 258264455 309917346 413223128 464876019 516528910 619834692 774793365 826446256 929752038 1033057820 1239669384 1394628057 1549586730 1859504076 2066115640 2324380095 2479338768 2789256114 3099173460 3719008152 4132231280 4183884171 4648760190 5578512228 6198346920 6973140285 7438016304 8367768342 9297520380 11157024456 12396693840 12551652513 13946280570 16735536684 18595040760 20919420855 22314048912 25103305026 27892561140 33471073368 37190081520 41838841710 50206610052 55785122280 62758262565 66942146736 83677683420 100413220104 111570244560 125516525130 167355366840 200826440208 251033050260 334710733680 502066100520 1004132201040