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413020113044 = 22711343257731
BaseRepresentation
bin1100000001010011110…
…10101100100010010100
31110111002002012122100212
412000221322230202110
523231331122104134
6513423330224552
741561011015160
oct6005172544224
91414062178325
10413020113044
1114a1850a5000
1268067725158
132cc41c32a46
1415dc1485ca0
15ab249bebce
hex6029eac894

413020113044 has 96 divisors (see below), whose sum is σ = 929715612672. Its totient is φ = 157174063200.

The previous prime is 413020113019. The next prime is 413020113067. The reversal of 413020113044 is 440311020314.

It is a super-2 number, since 2×4130201130442 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1473659 + ... + 1731389.

It is an arithmetic number, because the mean of its divisors is an integer number (9684537632).

Almost surely, 2413020113044 is an apocalyptic number.

413020113044 is a gapful number since it is divisible by the number (44) 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 413020113044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464857806336).

413020113044 is an abundant number, since it is smaller than the sum of its proper divisors (516695499628).

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

413020113044 is a wasteful number, since it uses less digits than its factorization.

413020113044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257818 (or 257794 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 413020113044 its reverse (440311020314), we get a palindrome (853331133358).

The spelling of 413020113044 in words is "four hundred thirteen billion, twenty million, one hundred thirteen thousand, forty-four".

Divisors: 1 2 4 7 11 14 22 28 43 44 77 86 121 154 172 242 301 308 473 484 602 847 946 1204 1331 1694 1892 2662 3311 3388 5203 5324 6622 9317 10406 13244 18634 20812 36421 37268 57233 72842 114466 145684 228932 257731 400631 515462 801262 1030924 1602524 1804117 2835041 3608234 5670082 7216468 11082433 11340164 19845287 22164866 31185451 39690574 44329732 62370902 77577031 79381148 121906763 124741804 155154062 218298157 243813526 310308124 343039961 436596314 487627052 686079922 853347341 873192628 1340974393 1372159844 1706694682 2401279727 2681948786 3413389364 4802559454 5363897572 9386820751 9605118908 14750718323 18773641502 29501436646 37547283004 59002873292 103255028261 206510056522 413020113044