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235273041120 = 25351337704013
BaseRepresentation
bin1101101100011101011…
…1011011010011100000
3211111021120201211102210
43123013113123103200
512323314344303440
6300025525442120
722666166565405
oct3330727332340
9744246654383
10235273041120
1190862553057
1239720570340
1319255c91c40
14b55c9842ac
1561bee8aa80
hex36c75db4e0

235273041120 has 96 divisors (see below), whose sum is σ = 798118568352. Its totient is φ = 57913362432.

The previous prime is 235273041097. The next prime is 235273041127. The reversal of 235273041120 is 21140372532.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235273041127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18845767 + ... + 18858246.

It is an arithmetic number, because the mean of its divisors is an integer number (8313735087).

Almost surely, 2235273041120 is an apocalyptic number.

235273041120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235273041120 is an abundant number, since it is smaller than the sum of its proper divisors (562845527232).

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

235273041120 is a wasteful number, since it uses less digits than its factorization.

235273041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37704044 (or 37704036 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 235273041120 in words is "two hundred thirty-five billion, two hundred seventy-three million, forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 37704013 75408026 113112039 150816052 188520065 226224078 301632104 377040130 452448156 490152169 565560195 603264208 754080260 904896312 980304338 1131120390 1206528416 1470456507 1508160520 1809792624 1960608676 2262240780 2450760845 2940913014 3016321040 3619585248 3921217352 4524481560 4901521690 5881826028 6032642080 7352282535 7842434704 9048963120 9803043380 11763652056 14704565070 15684869408 18097926240 19606086760 23527304112 29409130140 39212173520 47054608224 58818260280 78424347040 117636520560 235273041120