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40104744160 = 25513191310079
BaseRepresentation
bin100101010110011011…
…011101010011100000
310211111222011002110211
4211112123131103200
51124113303303120
630231315503504
72616555462235
oct452633352340
9124458132424
1040104744160
111601009a968
127932bb7b94
133a21997560
141d2647578c
15109acc725a
hex9566dd4e0

40104744160 has 96 divisors (see below), whose sum is σ = 102099191040. Its totient is φ = 14798696448.

The previous prime is 40104744137. The next prime is 40104744181. The reversal of 40104744160 is 6144740104.

40104744160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3974001 + ... + 3984079.

It is an arithmetic number, because the mean of its divisors is an integer number (1063533240).

Almost surely, 240104744160 is an apocalyptic number.

40104744160 is a gapful number since it is divisible by the number (40) 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 40104744160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51049595520).

40104744160 is an abundant number, since it is smaller than the sum of its proper divisors (61994446880).

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

40104744160 is a wasteful number, since it uses less digits than its factorization.

40104744160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12020 (or 12012 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The spelling of 40104744160 in words is "forty billion, one hundred four million, seven hundred forty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 1913 2080 3826 7652 9565 10079 15304 19130 20158 24869 30608 38260 40316 49738 50395 61216 76520 80632 99476 100790 124345 131027 153040 161264 198952 201580 248690 262054 306080 322528 397904 403160 497380 524108 655135 795808 806320 994760 1048216 1310270 1612640 1989520 2096432 2620540 3979040 4192864 5241080 10482160 19281127 20964320 38562254 77124508 96405635 154249016 192811270 250654651 308498032 385622540 501309302 616996064 771245080 1002618604 1253273255 1542490160 2005237208 2506546510 3084980320 4010474416 5013093020 8020948832 10026186040 20052372080 40104744160