Search a number
-
+
40313404131000 = 2335371113372231627
BaseRepresentation
bin10010010101010001100100…
…01000100000011010111000
312021201220221110002110000220
421022220302020200122320
520240443322424143000
6221423415554300040
711330355510152250
oct1112506210403270
9167656843073026
1040313404131000
1111932900733390
124631011587620
1319656cb424a20
149d5271904960
1549d99e05a1a0
hex24aa322206b8

40313404131000 has 2048 divisors, whose sum is σ = 174325585674240. Its totient is φ = 7485115392000.

The previous prime is 40313404130927. The next prime is 40313404131043. The reversal of 40313404131000 is 13140431304.

It is a super-2 number, since 2×403134041310002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 511 ways as a sum of consecutive naturals, for example, 24777752187 + ... + 24777753813.

It is an arithmetic number, because the mean of its divisors is an integer number (85119914880).

Almost surely, 240313404131000 is an apocalyptic number.

40313404131000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40313404131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87162792837120).

40313404131000 is an abundant number, since it is smaller than the sum of its proper divisors (134012181543240).

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

40313404131000 is a wasteful number, since it uses less digits than its factorization.

40313404131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 40313404131000 its reverse (13140431304), we get a palindrome (40326544562304).

It can be divided in two parts, 40313404 and 131000, that added together give a palindrome (40444404).

The spelling of 40313404131000 in words is "forty trillion, three hundred thirteen billion, four hundred four million, one hundred thirty-one thousand".