Search a number
-
+
1040141351200 = 25527185739527
BaseRepresentation
bin11110010001011010100…
…00010111100100100000
310200102210020110100101011
433020231100113210200
5114020202141214300
62113500114550304
7135101446415320
oct17105520274440
93612706410334
101040141351200
11371137749206
12149705298394
137711470c463
14384b36cb280
151c0ca86eeba
hexf22d417920

1040141351200 has 72 divisors (see below), whose sum is σ = 2901994385472. Its totient is φ = 356619889920.

The previous prime is 1040141351191. The next prime is 1040141351213. The reversal of 1040141351200 is 21531410401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92864164 + ... + 92875363.

It is an arithmetic number, because the mean of its divisors is an integer number (40305477576).

Almost surely, 21040141351200 is an apocalyptic number.

1040141351200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1040141351200 is an abundant number, since it is smaller than the sum of its proper divisors (1861853034272).

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

1040141351200 is a wasteful number, since it uses less digits than its factorization.

1040141351200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185739554 (or 185739541 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 1040141351200 its reverse (21531410401), we get a palindrome (1061672761601).

The spelling of 1040141351200 in words is "one trillion, forty billion, one hundred forty-one million, three hundred fifty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1400 2800 5600 185739527 371479054 742958108 928697635 1300176689 1485916216 1857395270 2600353378 2971832432 3714790540 4643488175 5200706756 5943664864 6500883445 7429581080 9286976350 10401413512 13001766890 14859162160 18573952700 20802827024 26003533780 29718324320 32504417225 37147905400 41605654048 52007067560 65008834450 74295810800 104014135120 130017668900 148591621600 208028270240 260035337800 520070675600 1040141351200