Search a number
-
+
3155432240000 = 2754163241981
BaseRepresentation
bin101101111010101110011…
…010101111001110000000
3102011122201111110011200202
4231322232122233032000
5403144311123140000
610413330251504332
7443654360332535
oct55725632571600
912148644404622
103155432240000
111007236268177
1242b663a580a8
1319b72c659c51
14aca1bd02d8c
15571301aadd5
hex2deae6af380

3155432240000 has 160 divisors (see below), whose sum is σ = 7903475734440. Its totient is φ = 1254424320000.

The previous prime is 3155432239811. The next prime is 3155432240189. The reversal of 3155432240000 is 422345513.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3155432239811) and next prime (3155432240189).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12919010 + ... + 13160990.

Almost surely, 23155432240000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3155432240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951737867220).

3155432240000 is an abundant number, since it is smaller than the sum of its proper divisors (4748043494440).

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

3155432240000 is an equidigital number, since it uses as much as digits as its factorization.

3155432240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242178 (or 242151 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 3155432240000 its reverse (422345513), we get a palindrome (3155854585513).

The spelling of 3155432240000 in words is "three trillion, one hundred fifty-five billion, four hundred thirty-two million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 163 200 250 320 326 400 500 625 640 652 800 815 1000 1250 1304 1600 1630 2000 2500 2608 3200 3260 4000 4075 5000 5216 6520 8000 8150 10000 10432 13040 16000 16300 20000 20375 20864 26080 32600 40000 40750 52160 65200 80000 81500 101875 104320 130400 163000 203750 241981 260800 326000 407500 483962 521600 652000 815000 967924 1209905 1304000 1630000 1935848 2419810 2608000 3260000 3871696 4839620 6049525 6520000 7743392 9679240 12099050 13040000 15486784 19358480 24198100 30247625 30973568 38716960 39442903 48396200 60495250 77433920 78885806 96792400 120990500 151238125 154867840 157771612 193584800 197214515 241981000 302476250 315543224 387169600 394429030 483962000 604952500 631086448 774339200 788858060 967924000 986072575 1209905000 1262172896 1577716120 1935848000 1972145150 2419810000 2524345792 3155432240 3871696000 3944290300 4839620000 4930362875 5048691584 6310864480 7888580600 9679240000 9860725750 12621728960 15777161200 19358480000 19721451500 24651814375 25243457920 31554322400 39442903000 49303628750 63108644800 78885806000 98607257500 126217289600 157771612000 197214515000 315543224000 394429030000 631086448000 788858060000 1577716120000 3155432240000