Search a number
-
+
40231431441120 = 253583815482169
BaseRepresentation
bin10010010010111000111000…
…01011100000101011100000
312021110002100122000100020210
421021130130023200223200
520233122432422103440
6221322021531134120
711321424242612223
oct1111343413405340
9167402318010223
1040231431441120
1111901066243197
124619154ba4340
13195aa666b83ba
149d12d6b7d5ba
1549b7a27c0a80
hex24971c2e0ae0

40231431441120 has 48 divisors (see below), whose sum is σ = 126729009041040. Its totient is φ = 10728381717504.

The previous prime is 40231431441079. The next prime is 40231431441209. The reversal of 40231431441120 is 2114413413204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 41907740605 + ... + 41907741564.

It is an arithmetic number, because the mean of its divisors is an integer number (2640187688355).

Almost surely, 240231431441120 is an apocalyptic number.

40231431441120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40231431441120 is an abundant number, since it is smaller than the sum of its proper divisors (86497577599920).

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

40231431441120 is a wasteful number, since it uses less digits than its factorization.

40231431441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83815482187 (or 83815482179 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 40231431441120 its reverse (2114413413204), we get a palindrome (42345844854324).

The spelling of 40231431441120 in words is "forty trillion, two hundred thirty-one billion, four hundred thirty-one million, four hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 83815482169 167630964338 251446446507 335261928676 419077410845 502892893014 670523857352 838154821690 1005785786028 1257232232535 1341047714704 1676309643380 2011571572056 2514464465070 2682095429408 3352619286760 4023143144112 5028928930140 6705238573520 8046286288224 10057857860280 13410477147040 20115715720560 40231431441120