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41404002320 = 2451573296497
BaseRepresentation
bin100110100011110111…
…101111000000010000
310221212111221020121102
4212203313233000100
51134243411033240
631004251243532
72664013133012
oct464367570020
9127774836542
1041404002320
111661753083a
1280361495a8
133b9ac02975
14200ac421b2
151124dbc815
hex9a3def010

41404002320 has 40 divisors (see below), whose sum is σ = 96877483224. Its totient is φ = 16456108032.

The previous prime is 41404002313. The next prime is 41404002329. The reversal of 41404002320 is 2320040414.

It can be written as a sum of positive squares in 4 ways, for example, as 566059264 + 40837943056 = 23792^2 + 202084^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×414040023202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 41404002292 and 41404002301.

It is not an unprimeable number, because it can be changed into a prime (41404002329) 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 7 ways as a sum of consecutive naturals, for example, 1635689 + ... + 1660808.

Almost surely, 241404002320 is an apocalyptic number.

41404002320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41404002320 is an abundant number, since it is smaller than the sum of its proper divisors (55473480904).

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

41404002320 is a wasteful number, since it uses less digits than its factorization.

41404002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296667 (or 3296661 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 41404002320 its reverse (2320040414), we get a palindrome (43724042734).

The spelling of 41404002320 in words is "forty-one billion, four hundred four million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157 314 628 785 1256 1570 2512 3140 6280 12560 3296497 6592994 13185988 16482485 26371976 32964970 52743952 65929940 131859880 263719760 517550029 1035100058 2070200116 2587750145 4140400232 5175500290 8280800464 10351000580 20702001160 41404002320