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143131311134040 = 23353138476158907
BaseRepresentation
bin100000100010110101011010…
…111101001101010101011000
3200202210012221011120120110010
4200202311122331031111120
5122230030411122242130
61224225341103521520
742101616214542555
oct4042653275152530
9622705834516403
10143131311134040
11416737147894a9
12140779825b92a0
1361b32bc94ab88
14274b84186ba2c
151183291c330b0
hex822d5af4d558

143131311134040 has 64 divisors (see below), whose sum is σ = 443245350620160. Its totient is φ = 36937112549760.

The previous prime is 143131311133997. The next prime is 143131311134083. The reversal of 143131311134040 is 40431113131341.

It is an interprime number because it is at equal distance from previous prime (143131311133997) and next prime (143131311134083).

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 = 143131311133989 and 143131311134007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19238075734 + ... + 19238083173.

It is an arithmetic number, because the mean of its divisors is an integer number (6925708603440).

Almost surely, 2143131311134040 is an apocalyptic number.

143131311134040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

143131311134040 is an abundant number, since it is smaller than the sum of its proper divisors (300114039486120).

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

143131311134040 is a wasteful number, since it uses less digits than its factorization.

143131311134040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38476158952 (or 38476158948 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 143131311134040 its reverse (40431113131341), we get a palindrome (183562424265381).

The spelling of 143131311134040 in words is "one hundred forty-three trillion, one hundred thirty-one billion, three hundred eleven million, one hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 38476158907 76952317814 115428476721 153904635628 192380794535 230856953442 307809271256 384761589070 461713906884 577142383605 769523178140 923427813768 1154284767210 1192760926117 1539046356280 2308569534420 2385521852234 3578282778351 4617139068840 4771043704468 5963804630585 7156565556702 9542087408936 11927609261170 14313131113404 17891413891755 23855218522340 28626262226808 35782827783510 47710437044680 71565655567020 143131311134040