Search a number
-
+
40100133240 = 2333537129753
BaseRepresentation
bin100101010110001001…
…110111100101111000
310211111122110211111000
4211112021313211320
51124111113230430
630231033005000
72616501336306
oct452611674570
9124448424430
1040100133240
1116008530692
127931553760
133a20a418bb
141d259d5276
15109a6b5e60
hex956277978

40100133240 has 64 divisors (see below), whose sum is σ = 133667114400. Its totient is φ = 10693368576.

The previous prime is 40100133221. The next prime is 40100133247. The reversal of 40100133240 is 4233100104.

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 (40100133247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18563797 + ... + 18565956.

Almost surely, 240100133240 is an apocalyptic number.

40100133240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40100133240 is an abundant number, since it is smaller than the sum of its proper divisors (93566981160).

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

40100133240 is a wasteful number, since it uses less digits than its factorization.

40100133240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37129773 (or 37129763 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 40100133240 its reverse (4233100104), we get a palindrome (44333233344).

The spelling of 40100133240 in words is "forty billion, one hundred million, one hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 37129753 74259506 111389259 148519012 185648765 222778518 297038024 334167777 371297530 445557036 556946295 668335554 742595060 891114072 1002503331 1113892590 1336671108 1485190120 1670838885 2005006662 2227785180 2673342216 3341677770 4010013324 4455570360 5012516655 6683355540 8020026648 10025033310 13366711080 20050066620 40100133240