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40809503232 = 29329539293
BaseRepresentation
bin100110000000011011…
…111001101000000000
310220100002021120011200
4212000123321220000
51132034213100412
630425253141200
72643204024351
oct460033715000
9126302246150
1040809503232
111634199a883
127aab02a800
133b049b1b64
141d91ccbd28
1510dcad99dc
hex9806f9a00

40809503232 has 120 divisors (see below), whose sum is σ = 117915264324. Its totient is φ = 13587431424.

The previous prime is 40809503219. The next prime is 40809503237. The reversal of 40809503232 is 23230590804.

40809503232 is a `hidden beast` number, since 40 + 80 + 9 + 503 + 2 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37363343616 + 3446159616 = 193296^2 + 58704^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40809503237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4386778 + ... + 4396070.

Almost surely, 240809503232 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 40809503232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58957632162).

40809503232 is an abundant number, since it is smaller than the sum of its proper divisors (77105761092).

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

40809503232 is an equidigital number, since it uses as much as digits as its factorization.

40809503232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10270 (or 10251 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 40809503232 in words is "forty billion, eight hundred nine million, five hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 953 1152 1536 1906 2304 2859 3812 4608 5718 7624 8577 9293 11436 15248 17154 18586 22872 27879 30496 34308 37172 45744 55758 60992 68616 74344 83637 91488 111516 121984 137232 148688 167274 182976 223032 243968 274464 297376 334548 365952 446064 487936 548928 594752 669096 731904 892128 1097856 1189504 1338192 1463808 1784256 2195712 2379008 2676384 3568512 4391424 4758016 5352768 7137024 8856229 10705536 14274048 17712458 21411072 26568687 35424916 42822144 53137374 70849832 79706061 106274748 141699664 159412122 212549496 283399328 318824244 425098992 566798656 637648488 850197984 1133597312 1275296976 1700395968 2267194624 2550593952 3400791936 4534389248 5101187904 6801583872 10202375808 13603167744 20404751616 40809503232