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41423484288 = 2732328316573
BaseRepresentation
bin100110100101000010…
…000011010110000000
310221220212121000211210
4212211002003112000
51134313402444123
631010225010120
72664340543524
oct464502032600
9127825530753
1041423484288
111662752793a
128040783940
133ba1c64364
14200d673d84
151126969e93
hex9a5083580

41423484288 has 128 divisors (see below), whose sum is σ = 115227751680. Its totient is φ = 13160024064.

The previous prime is 41423484283. The next prime is 41423484301. The reversal of 41423484288 is 88248432414.

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 (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41423484283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2491170 + ... + 2507742.

It is an arithmetic number, because the mean of its divisors is an integer number (900216810).

Almost surely, 241423484288 is an apocalyptic number.

41423484288 is a gapful number since it is divisible by the number (48) 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 41423484288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57613875840).

41423484288 is an abundant number, since it is smaller than the sum of its proper divisors (73804267392).

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

41423484288 is a wasteful number, since it uses less digits than its factorization.

41423484288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16896 (or 16884 counting only the distinct ones).

The product of its digits is 1572864, while the sum is 48.

The spelling of 41423484288 in words is "forty-one billion, four hundred twenty-three million, four hundred eighty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 283 368 384 552 566 736 849 1104 1132 1472 1698 2208 2264 2944 3396 4416 4528 6509 6792 8832 9056 13018 13584 16573 18112 19527 26036 27168 33146 36224 39054 49719 52072 54336 66292 78108 99438 104144 108672 132584 156216 198876 208288 265168 312432 381179 397752 416576 530336 624864 762358 795504 833152 1060672 1143537 1249728 1524716 1591008 2121344 2287074 2499456 3049432 3182016 4574148 4690159 6098864 6364032 9148296 9380318 12197728 14070477 18296592 18760636 24395456 28140954 36593184 37521272 48790912 56281908 73186368 75042544 107873657 112563816 146372736 150085088 215747314 225127632 300170176 323620971 431494628 450255264 600340352 647241942 862989256 900510528 1294483884 1725978512 1801021056 2588967768 3451957024 5177935536 6903914048 10355871072 13807828096 20711742144 41423484288