Search a number
-
+
412220144010000 = 2435413740671467
BaseRepresentation
bin101110110111010010111101…
…1010000001100001100010000
32000001112212020121010122021010
41131232211323100030030100
5413012303323331310000
64020415153031130520
7152553631310110104
oct13556457320141420
92001485217118233
10412220144010000
1110a389643811547
123a297038213a40
1314902267716a41
1473b17c0799904
15329cbd2bd8d50
hex176e97b40c310

412220144010000 has 100 divisors (see below), whose sum is σ = 1330701587646992. Its totient is φ = 109925371728000.

The previous prime is 412220144009987. The next prime is 412220144010001. The reversal of 412220144010000 is 10441022214.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (412220144010001) by changing a digit.

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, 6870305734 + ... + 6870365733.

Almost surely, 2412220144010000 is an apocalyptic number.

412220144010000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412220144010000 is an abundant number, since it is smaller than the sum of its proper divisors (918481443636992).

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

412220144010000 is a wasteful number, since it uses less digits than its factorization.

412220144010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13740671498 (or 13740671477 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 412220144010000 its reverse (10441022214), we get a palindrome (412230585032214).

The spelling of 412220144010000 in words is "four hundred twelve trillion, two hundred twenty billion, one hundred forty-four million, ten thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 13740671467 27481342934 41222014401 54962685868 68703357335 82444028802 109925371736 137406714670 164888057604 206110072005 219850743472 274813429340 329776115208 343516786675 412220144010 549626858680 659552230416 687033573350 824440288020 1030550360025 1099253717360 1374067146700 1648880576040 1717583933375 2061100720050 2748134293400 3297761152080 3435167866750 4122201440100 5152751800125 5496268586800 6870335733500 8244402880200 8587919666875 10305503600250 13740671467000 16488805760400 17175839333750 20611007200500 25763759000625 27481342934000 34351678667500 41222014401000 51527518001250 68703357335000 82444028802000 103055036002500 137406714670000 206110072005000 412220144010000