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253144022120000 = 265411575327323
BaseRepresentation
bin111001100011101110101111…
…100000111111011001000000
31020012022022222011002100021222
4321203232233200333121000
5231140002424130320000
62254220431444134212
7104215023566104514
oct7143565740773100
91205268864070258
10253144022120000
1173728860043570
1224485010997368
13ab334c046b7ab
1446723439c4144
151e3eccc308a85
hexe63baf83f640

253144022120000 has 140 divisors (see below), whose sum is σ = 684779895427056. Its totient is φ = 92052371520000.

The previous prime is 253144022119993. The next prime is 253144022120221. The reversal of 253144022120000 is 21220441352.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 287223662 + ... + 288103661.

Almost surely, 2253144022120000 is an apocalyptic number.

253144022120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253144022120000 is an abundant number, since it is smaller than the sum of its proper divisors (431635873307056).

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

253144022120000 is an equidigital number, since it uses as much as digits as its factorization.

253144022120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575327366 (or 575327341 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 253144022120000 its reverse (21220441352), we get a palindrome (253165242561352).

The spelling of 253144022120000 in words is "two hundred fifty-three trillion, one hundred forty-four billion, twenty-two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 800 880 1000 1100 1250 1375 1600 1760 2000 2200 2500 2750 3520 4000 4400 5000 5500 6875 8000 8800 10000 11000 13750 17600 20000 22000 27500 40000 44000 55000 88000 110000 220000 440000 575327323 1150654646 2301309292 2876636615 4602618584 5753273230 6328600553 9205237168 11506546460 12657201106 14383183075 18410474336 23013092920 25314402212 28766366150 31643002765 36820948672 46026185840 50628804424 57532732300 63286005530 71915915375 92052371680 101257608848 115065464600 126572011060 143831830750 158215013825 184104743360 202515217696 230130929200 253144022120 287663661500 316430027650 359579576875 405030435392 460261858400 506288044240 575327323000 632860055300 719159153750 791075069125 920523716800 1012576088480 1150654646000 1265720110600 1438318307500 1582150138250 2025152176960 2301309292000 2531440221200 2876636615000 3164300276500 3955375345625 4602618584000 5062880442400 5753273230000 6328600553000 7910750691250 10125760884800 11506546460000 12657201106000 15821501382500 23013092920000 25314402212000 31643002765000 50628804424000 63286005530000 126572011060000 253144022120000