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4212145153344 = 263191154645053
BaseRepresentation
bin111101010010110111011…
…010100110010101000000
3112220200021122020002201210
4331102313122212111000
51023002433124401334
612543011024530120
7613213612026342
oct75226732462500
915820248202653
104212145153344
1113843a7146287
12580412a80940
1324728537227b
14107c24425292
157487a7c35e9
hex3d4b76a6540

4212145153344 has 56 divisors (see below), whose sum is σ = 11731193748640. Its totient is φ = 1330151099904.

The previous prime is 4212145153339. The next prime is 4212145153369. The reversal of 4212145153344 is 4433515412124.

4212145153344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 577318879 + ... + 577326174.

Almost surely, 24212145153344 is an apocalyptic number.

It is an amenable number.

4212145153344 is an abundant number, since it is smaller than the sum of its proper divisors (7519048595296).

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

4212145153344 is a wasteful number, since it uses less digits than its factorization.

4212145153344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154645087 (or 1154645077 counting only the distinct ones).

The product of its digits is 230400, while the sum is 39.

The spelling of 4212145153344 in words is "four trillion, two hundred twelve billion, one hundred forty-five million, one hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 1154645053 2309290106 3463935159 4618580212 6927870318 9237160424 13855740636 18474320848 21938256007 27711481272 36948641696 43876512014 55422962544 65814768021 73897283392 87753024028 110845925088 131629536042 175506048056 221691850176 263259072084 351012096112 526518144168 702024192224 1053036288336 1404048384448 2106072576672 4212145153344