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41124045440 = 27564256321
BaseRepresentation
bin100110010011001011…
…110010001010000000
310221011000010221222002
4212103023302022000
51133210223423230
630520411003132
72654043422132
oct462313621200
9127130127862
1041124045440
11164934a7015
127b784394a8
133b54c01aca
141dc19a9052
15110a51c545
hex9932f2280

41124045440 has 32 divisors (see below), whose sum is σ = 98312172660. Its totient is φ = 16449617920.

The previous prime is 41124045433. The next prime is 41124045499. The reversal of 41124045440 is 4454042114.

It can be written as a sum of positive squares in 2 ways, for example, as 40105669696 + 1018375744 = 200264^2 + 31912^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×411240454402 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32127521 + ... + 32128800.

Almost surely, 241124045440 is an apocalyptic number.

41124045440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41124045440 is an abundant number, since it is smaller than the sum of its proper divisors (57188127220).

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

41124045440 is an equidigital number, since it uses as much as digits as its factorization.

41124045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64256340 (or 64256328 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 29.

Adding to 41124045440 its reverse (4454042114), we get a palindrome (45578087554).

The spelling of 41124045440 in words is "forty-one billion, one hundred twenty-four million, forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 64256321 128512642 257025284 321281605 514050568 642563210 1028101136 1285126420 2056202272 2570252840 4112404544 5140505680 8224809088 10281011360 20562022720 41124045440