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40310043120 = 2433518662057
BaseRepresentation
bin100101100010101010…
…100111000111110000
310212001021110100201000
4211202222213013300
51130023332334440
630303532042000
72624630466414
oct454252470760
9125037410630
1040310043120
1116105a72026
12798b903300
133a55388729
141d45836d44
1510add2b730
hex962aa71f0

40310043120 has 80 divisors (see below), whose sum is σ = 138845711520. Its totient is φ = 10749344256.

The previous prime is 40310043107. The next prime is 40310043157. The reversal of 40310043120 is 2134001304.

40310043120 is a `hidden beast` number, since 40 + 310 + 0 + 4 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40310043093 and 40310043102.

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 15 ways as a sum of consecutive naturals, for example, 9328869 + ... + 9333188.

It is an arithmetic number, because the mean of its divisors is an integer number (1735571394).

Almost surely, 240310043120 is an apocalyptic number.

40310043120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40310043120 is an abundant number, since it is smaller than the sum of its proper divisors (98535668400).

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

40310043120 is a wasteful number, since it uses less digits than its factorization.

40310043120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18662079 (or 18662067 counting only the distinct ones).

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

Adding to 40310043120 its reverse (2134001304), we get a palindrome (42444044424).

The spelling of 40310043120 in words is "forty billion, three hundred ten million, forty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 18662057 37324114 55986171 74648228 93310285 111972342 149296456 167958513 186620570 223944684 279930855 298592912 335917026 373241140 447889368 503875539 559861710 671834052 746482280 839792565 895778736 1007751078 1119723420 1343668104 1492964560 1679585130 2015502156 2239446840 2519377695 2687336208 3359170260 4031004312 4478893680 5038755390 6718340520 8062008624 10077510780 13436681040 20155021560 40310043120