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40110533940 = 223529137168263
BaseRepresentation
bin100101010110110001…
…100010110100110100
310211112101001020120010
4211112301202310310
51124121244041230
630232043540220
72616655625121
oct452661426464
9124471036503
1040110533940
1116013394904
127934b2a670
133a22c43969
141d27141748
15109b56c9b0
hex956c62d34

40110533940 has 96 divisors (see below), whose sum is σ = 117030977280. Its totient is φ = 10251867136.

The previous prime is 40110533933. The next prime is 40110533963. The reversal of 40110533940 is 4933501104.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 40110533898 and 40110533907.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 154249 + ... + 322511.

It is an arithmetic number, because the mean of its divisors is an integer number (1219072680).

Almost surely, 240110533940 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 40110533940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58515488640).

40110533940 is an abundant number, since it is smaller than the sum of its proper divisors (76920443340).

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

40110533940 is a wasteful number, since it uses less digits than its factorization.

40110533940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168441 (or 168439 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 40110533940 in words is "forty billion, one hundred ten million, five hundred thirty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 137 145 174 274 290 348 411 435 548 580 685 822 870 1370 1644 1740 2055 2740 3973 4110 7946 8220 11919 15892 19865 23838 39730 47676 59595 79460 119190 168263 238380 336526 504789 673052 841315 1009578 1682630 2019156 2523945 3365260 4879627 5047890 9759254 10095780 14638881 19518508 23052031 24398135 29277762 46104062 48796270 58555524 69156093 73194405 92208124 97592540 115260155 138312186 146388810 230520310 276624372 292777620 345780465 461040620 668508899 691560930 1337017798 1383121860 2005526697 2674035596 3342544495 4011053394 6685088990 8022106788 10027633485 13370177980 20055266970 40110533940