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3145554553344 = 2937750738971
BaseRepresentation
bin101101110001100001101…
…010010110101000000000
3102010201020002211200221020
4231301201222112220000
5403014043431201334
610405014154425440
7443154526355340
oct55614152265000
912121202750836
103145554553344
1110030275a4a75
12429767a32280
1319a8170c6648
14ac3620dcd20
1556c52e0de49
hex2dc61a96a00

3145554553344 has 160 divisors (see below), whose sum is σ = 9578611739136. Its totient is φ = 898587095040.

The previous prime is 3145554553319. The next prime is 3145554553357. The reversal of 3145554553344 is 4433554555413.

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 15 ways as a sum of consecutive naturals, for example, 80695779 + ... + 80734749.

Almost surely, 23145554553344 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 3145554553344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4789305869568).

3145554553344 is an abundant number, since it is smaller than the sum of its proper divisors (6433057185792).

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

3145554553344 is an equidigital number, since it uses as much as digits as its factorization.

3145554553344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46506 (or 46490 counting only the distinct ones).

The product of its digits is 21600000, while the sum is 51.

The spelling of 3145554553344 in words is "three trillion, one hundred forty-five billion, five hundred fifty-four million, five hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 7507 10752 15014 22521 30028 38971 45042 52549 60056 77942 90084 105098 116913 120112 155884 157647 180168 210196 233826 240224 272797 311768 315294 360336 420392 467652 480448 545594 623536 630588 720672 818391 840784 935304 960896 1091188 1247072 1261176 1441344 1636782 1681568 1870608 1921792 2182376 2494144 2522352 2882688 3273564 3363136 3741216 3843584 4364752 4988288 5044704 5765376 6547128 6726272 7482432 8729504 9976576 10089408 11530752 13094256 13452544 14964864 17459008 19953152 20178816 26188512 26905088 29929728 34918016 40357632 52377024 59859456 69836032 80715264 104754048 139672064 209508096 292555297 419016192 585110594 877665891 1170221188 1755331782 2047887079 2340442376 3510663564 4095774158 4680884752 6143661237 7021327128 8191548316 9361769504 12287322474 14042654256 16383096632 18723539008 24574644948 28085308512 32766193264 37447078016 49149289896 56170617024 65532386528 74894156032 98298579792 112341234048 131064773056 149788312064 196597159584 224682468096 262129546112 393194319168 449364936192 524259092224 786388638336 1048518184448 1572777276672 3145554553344