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201260423040 = 2735250341879
BaseRepresentation
bin1011101101110000001…
…1100101011110000000
3201020111011222210212020
42323130003211132000
511244140132014130
6232242513201440
720353264240515
oct2733403453600
9636434883766
10201260423040
1178399297736
1233009860280
1315c954ab021
149a5365d30c
15537de47e10
hex2edc0e5780

201260423040 has 128 divisors (see below), whose sum is σ = 641789222400. Its totient is φ = 53646723072.

The previous prime is 201260423027. The next prime is 201260423057. The reversal of 201260423040 is 40324062102.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 201260423040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4784821 + ... + 4826699.

It is an arithmetic number, because the mean of its divisors is an integer number (5013978300).

Almost surely, 2201260423040 is an apocalyptic number.

201260423040 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 201260423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320894611200).

201260423040 is an abundant number, since it is smaller than the sum of its proper divisors (440528799360).

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

201260423040 is a wasteful number, since it uses less digits than its factorization.

201260423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44404 (or 44392 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 201260423040 its reverse (40324062102), we get a palindrome (241584485142).

The spelling of 201260423040 in words is "two hundred one billion, two hundred sixty million, four hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 2503 5006 7509 10012 12515 15018 20024 25030 30036 37545 40048 41879 50060 60072 75090 80096 83758 100120 120144 125637 150180 160192 167516 200240 209395 240288 251274 300360 320384 335032 400480 418790 480576 502548 600720 628185 670064 800960 837580 961152 1005096 1201440 1256370 1340128 1601920 1675160 2010192 2402880 2512740 2680256 3350320 4020384 4805760 5025480 5360512 6700640 8040768 10050960 13401280 16081536 20101920 26802560 40203840 80407680 104823137 209646274 314469411 419292548 524115685 628938822 838585096 1048231370 1257877644 1572347055 1677170192 2096462740 2515755288 3144694110 3354340384 4192925480 5031510576 6289388220 6708680768 8385850960 10063021152 12578776440 13417361536 16771701920 20126042304 25157552880 33543403840 40252084608 50315105760 67086807680 100630211520 201260423040