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41020032345120 = 2532528486133573
BaseRepresentation
bin10010101001110101110000…
…11101001110010000100000
312101020110212120202000012200
421110322320131032100200
520334033011240020440
6223124202005253200
711432412432653223
oct1124727035162040
9171213776660180
1041020032345120
1112085552961394
124725b59a04200
1319b7231b5444a
14a1b5472275ba
154b2059e8cc30
hex254eb874e420

41020032345120 has 72 divisors (see below), whose sum is σ = 139980860382636. Its totient is φ = 10938675291648.

The previous prime is 41020032345079. The next prime is 41020032345139. The reversal of 41020032345120 is 2154323002014.

41020032345120 is a `hidden beast` number, since 4 + 1 + 0 + 200 + 3 + 2 + 3 + 451 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37414606095504 + 3605426249616 = 6116748^2 + 1898796^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14243065347 + ... + 14243068226.

Almost surely, 241020032345120 is an apocalyptic number.

41020032345120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41020032345120 is an abundant number, since it is smaller than the sum of its proper divisors (98960828037516).

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

41020032345120 is a wasteful number, since it uses less digits than its factorization.

41020032345120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28486133594 (or 28486133583 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 41020032345120 its reverse (2154323002014), we get a palindrome (43174355347134).

The spelling of 41020032345120 in words is "forty-one trillion, twenty billion, thirty-two million, three hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 28486133573 56972267146 85458400719 113944534292 142430667865 170916801438 227889068584 256375202157 284861335730 341833602876 427292003595 455778137168 512750404314 569722671460 683667205752 854584007190 911556274336 1025500808628 1139445342920 1281876010785 1367334411504 1709168014380 2051001617256 2278890685840 2563752021570 2734668823008 3418336028760 4102003234512 4557781371680 5127504043140 6836672057520 8204006469024 10255008086280 13673344115040 20510016172560 41020032345120