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146233830400 = 210527816037
BaseRepresentation
bin1000100000110000110…
…1110010110000000000
3111222110021202021102121
42020030031302300000
54343441330033100
6151102350254024
713364545022650
oct2101415626000
9458407667377
10146233830400
1157021204199
12244114b7314
1310a3622b638
147113508360
153c0d14751a
hex220c372c00

146233830400 has 132 divisors (see below), whose sum is σ = 414266586928. Its totient is φ = 50137251840.

The previous prime is 146233830397. The next prime is 146233830403. The reversal of 146233830400 is 4038332641.

It is an interprime number because it is at equal distance from previous prime (146233830397) and next prime (146233830403).

It is not an unprimeable number, because it can be changed into a prime (146233830403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 228819 + ... + 587218.

Almost surely, 2146233830400 is an apocalyptic number.

146233830400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146233830400 is an abundant number, since it is smaller than the sum of its proper divisors (268032756528).

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

146233830400 is an equidigital number, since it uses as much as digits as its factorization.

146233830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816074 (or 816051 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 146233830400 in words is "one hundred forty-six billion, two hundred thirty-three million, eight hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 256 280 320 350 400 448 512 560 640 700 800 896 1024 1120 1280 1400 1600 1792 2240 2560 2800 3200 3584 4480 5120 5600 6400 7168 8960 11200 12800 17920 22400 25600 35840 44800 89600 179200 816037 1632074 3264148 4080185 5712259 6528296 8160370 11424518 13056592 16320740 20400925 22849036 26113184 28561295 32641480 40801850 45698072 52226368 57122590 65282960 81603700 91396144 104452736 114245180 130565920 142806475 163207400 182792288 208905472 228490360 261131840 285612950 326414800 365584576 417810944 456980720 522263680 571225900 652829600 731169152 835621888 913961440 1044527360 1142451800 1305659200 1462338304 1827922880 2089054720 2284903600 2611318400 2924676608 3655845760 4178109440 4569807200 5222636800 5849353216 7311691520 9139614400 10445273600 14623383040 18279228800 20890547200 29246766080 36558457600 73116915200 146233830400