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201044301440 = 2751319238159
BaseRepresentation
bin1011101100111100101…
…1001001011010000000
3201012221010022200202112
42323033023021122000
511243214320121230
6232205233034452
720345031236423
oct2731713113200
9635833280675
10201044301440
11782982a3344
1232b693b5a28
1315c5c79aa18
149a32a819ba
155369ea6d95
hex2ecf2c9680

201044301440 has 64 divisors (see below), whose sum is σ = 480987936000. Its totient is φ = 80356414464.

The previous prime is 201044301439. The next prime is 201044301467. The reversal of 201044301440 is 44103440102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2010443014402 (a number of 23 digits) contains 22 as substring.

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, 725081 + ... + 963239.

It is an arithmetic number, because the mean of its divisors is an integer number (7515436500).

Almost surely, 2201044301440 is an apocalyptic number.

201044301440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201044301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240493968000).

201044301440 is an abundant number, since it is smaller than the sum of its proper divisors (279943634560).

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

201044301440 is a wasteful number, since it uses less digits than its factorization.

201044301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239497 (or 239485 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 201044301440 its reverse (44103440102), we get a palindrome (245147741542).

The spelling of 201044301440 in words is "two hundred one billion, forty-four million, three hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1319 2638 5276 6595 10552 13190 21104 26380 42208 52760 84416 105520 168832 211040 238159 422080 476318 844160 952636 1190795 1905272 2381590 3810544 4763180 7621088 9526360 15242176 19052720 30484352 38105440 76210880 152421760 314131721 628263442 1256526884 1570658605 2513053768 3141317210 5026107536 6282634420 10052215072 12565268840 20104430144 25130537680 40208860288 50261075360 100522150720 201044301440