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40882603136 = 271735595279
BaseRepresentation
bin100110000100110010…
…110000010010000000
310220112011211102101112
4212010302300102000
51132211421300021
630440424022452
72645052251534
oct460462602200
9126464742345
1040882603136
111637a188921
127b0b601a28
133b16b9763b
141d9b8b9bc4
1510e4228d5b
hex984cb0480

40882603136 has 64 divisors (see below), whose sum is σ = 86277312000. Its totient is φ = 19229822976.

The previous prime is 40882603129. The next prime is 40882603199. The reversal of 40882603136 is 63130628804.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 40882603093 and 40882603102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7741745 + ... + 7747023.

It is an arithmetic number, because the mean of its divisors is an integer number (1348083000).

Almost surely, 240882603136 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 40882603136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43138656000).

40882603136 is an abundant number, since it is smaller than the sum of its proper divisors (45394708864).

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

40882603136 is a wasteful number, since it uses less digits than its factorization.

40882603136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8869 (or 8857 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The spelling of 40882603136 in words is "forty billion, eight hundred eighty-two million, six hundred three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 3559 5279 7118 10558 14236 21116 28472 42232 56944 60503 84464 89743 113888 121006 168928 179486 227776 242012 337856 358972 455552 484024 675712 717944 968048 1435888 1936096 2871776 3872192 5743552 7744384 11487104 18787961 37575922 75151844 150303688 300607376 319395337 601214752 638790674 1202429504 1277581348 2404859008 2555162696 5110325392 10220650784 20441301568 40882603136