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201044441400 = 233521130461279
BaseRepresentation
bin1011101100111100101…
…1101011100100111000
3201012221010120210202020
42323033023223210320
511243214334111100
6232205240034440
720345032361445
oct2731713534470
9635833523666
10201044441400
1178298389510
1232b69462a20
1315c5c81963a
149a32aba9cc
155369ed35a0
hex2ecf2eb938

201044441400 has 96 divisors (see below), whose sum is σ = 679895769600. Its totient is φ = 48738044800.

The previous prime is 201044441393. The next prime is 201044441441. The reversal of 201044441400 is 4144440102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15224040 + ... + 15237239.

It is an arithmetic number, because the mean of its divisors is an integer number (7082247600).

Almost surely, 2201044441400 is an apocalyptic number.

201044441400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201044441400 is an abundant number, since it is smaller than the sum of its proper divisors (478851328200).

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

201044441400 is a wasteful number, since it uses less digits than its factorization.

201044441400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30461309 (or 30461300 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 201044441400 its reverse (4144440102), we get a palindrome (205188881502).

The spelling of 201044441400 in words is "two hundred one billion, forty-four million, four hundred forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 30461279 60922558 91383837 121845116 152306395 182767674 243690232 304612790 335074069 365535348 456919185 609225580 670148138 731070696 761531975 913838370 1005222207 1218451160 1340296276 1523063950 1675370345 1827676740 2010444414 2284595925 2680592552 3046127900 3350740690 3655353480 4020888828 4569191850 5026111035 6092255800 6701481380 8041777656 8376851725 9138383700 10052222070 13402962760 16753703450 18276767400 20104444140 25130555175 33507406900 40208888280 50261110350 67014813800 100522220700 201044441400