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40505898912 = 25317173143467
BaseRepresentation
bin100101101110010101…
…101111011110100000
310212112220222212100020
4211232111233132200
51130424002231122
630335205553440
72632526313513
oct455625573640
9125486885306
1040505898912
11161a6584416
127a25415880
133a86b2162b
141d6385ad7a
1510c1117c5c
hex96e56f7a0

40505898912 has 96 divisors (see below), whose sum is σ = 113234127552. Its totient is φ = 12634189824.

The previous prime is 40505898893. The next prime is 40505898913. The reversal of 40505898912 is 21989850504.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (40505898913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210603 + ... + 354069.

It is an arithmetic number, because the mean of its divisors is an integer number (1179522162).

Almost surely, 240505898912 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 40505898912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56617063776).

40505898912 is an abundant number, since it is smaller than the sum of its proper divisors (72728228640).

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

40505898912 is a wasteful number, since it uses less digits than its factorization.

40505898912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143670 (or 143662 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 51.

The spelling of 40505898912 in words is "forty billion, five hundred five million, eight hundred ninety-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 173 204 272 346 408 519 544 692 816 1038 1384 1632 2076 2768 2941 4152 5536 5882 8304 8823 11764 16608 17646 23528 35292 47056 70584 94112 141168 143467 282336 286934 430401 573868 860802 1147736 1721604 2295472 2438939 3443208 4590944 4877878 6886416 7316817 9755756 13772832 14633634 19511512 24819791 29267268 39023024 49639582 58534536 74459373 78046048 99279164 117069072 148918746 198558328 234138144 297837492 397116656 421936447 595674984 794233312 843872894 1191349968 1265809341 1687745788 2382699936 2531618682 3375491576 5063237364 6750983152 10126474728 13501966304 20252949456 40505898912