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41411352432 = 24323157238919
BaseRepresentation
bin100110100100010011…
…110001011101110000
310221220000202200001210
4212210103301131300
51134302301234212
631005113000120
72664132454632
oct464423613560
9127800680053
1041411352432
11166206a100a
1280386b3040
133b9c5a7348
14200bbd6a52
15112587053c
hex9a44f1770

41411352432 has 80 divisors (see below), whose sum is σ = 112342095360. Its totient is φ = 13119465216.

The previous prime is 41411352427. The next prime is 41411352439. The reversal of 41411352432 is 23425311414.

It is a super-2 number, since 2×414113524322 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41411352432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41411352439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53869 + ... + 292787.

It is an arithmetic number, because the mean of its divisors is an integer number (1404276192).

Almost surely, 241411352432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41411352432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56171047680).

41411352432 is an abundant number, since it is smaller than the sum of its proper divisors (70930742928).

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

41411352432 is a wasteful number, since it uses less digits than its factorization.

41411352432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239110 (or 239104 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

Adding to 41411352432 its reverse (23425311414), we get a palindrome (64836663846).

The spelling of 41411352432 in words is "forty-one billion, four hundred eleven million, three hundred fifty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 157 184 276 314 368 471 552 628 942 1104 1256 1884 2512 3611 3768 7222 7536 10833 14444 21666 28888 43332 57776 86664 173328 238919 477838 716757 955676 1433514 1911352 2867028 3822704 5495137 5734056 10990274 11468112 16485411 21980548 32970822 37510283 43961096 65941644 75020566 87922192 112530849 131883288 150041132 225061698 263766576 300082264 450123396 600164528 862736509 900246792 1725473018 1800493584 2588209527 3450946036 5176419054 6901892072 10352838108 13803784144 20705676216 41411352432