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4101041304 = 2332732932663
BaseRepresentation
bin1111010001110000…
…1110110010011000
3101120210211111001200
43310130032302120
531344331310204
61514535314200
7203425163433
oct36434166230
911523744050
104101041304
111814a27038
1296551b960
1350483b179
142ac93681a
15190083539
hexf470ec98

4101041304 has 96 divisors (see below), whose sum is σ = 11301806880. Its totient is φ = 1343181312.

The previous prime is 4101041299. The next prime is 4101041309. The reversal of 4101041304 is 4031401014.

4101041304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4101041299) and next prime (4101041309).

It is a super-2 number, since 2×41010413042 = 33637079554228040832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4101041309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1538677 + ... + 1541339.

It is an arithmetic number, because the mean of its divisors is an integer number (117727155).

Almost surely, 24101041304 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 4101041304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5650903440).

4101041304 is an abundant number, since it is smaller than the sum of its proper divisors (7200765576).

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

4101041304 is a wasteful number, since it uses less digits than its factorization.

4101041304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3041 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4101041304 is about 64039.3730762568. The cubic root of 4101041304 is about 1600.6561506713.

Adding to 4101041304 its reverse (4031401014), we get a palindrome (8132442318).

The spelling of 4101041304 in words is "four billion, one hundred one million, forty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 293 438 584 586 657 876 879 1172 1314 1752 1758 2344 2628 2637 2663 3516 5256 5274 5326 7032 7989 10548 10652 15978 21096 21304 21389 23967 31956 42778 47934 63912 64167 85556 95868 128334 171112 191736 192501 194399 256668 385002 388798 513336 583197 770004 777596 780259 1166394 1540008 1555192 1560518 1749591 2332788 2340777 3121036 3499182 4665576 4681554 6242072 6998364 7022331 9363108 13996728 14044662 18726216 28089324 56178648 56958907 113917814 170876721 227835628 341753442 455671256 512630163 683506884 1025260326 1367013768 2050520652 4101041304