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40310023300 = 22524173134681
BaseRepresentation
bin100101100010101010…
…100010010010000100
310212001021102100111221
4211202222202102010
51130023331221200
630303531410124
72624630354551
oct454252422204
9125037370457
1040310023300
1116105a59148
12798b8b3944
133a5537c6c1
141d4582da28
1510add2591a
hex962aa2484

40310023300 has 72 divisors (see below), whose sum is σ = 90834389352. Its totient is φ = 15515136000.

The previous prime is 40310023279. The next prime is 40310023301. The reversal of 40310023300 is 332001304.

It can be written as a sum of positive squares in 12 ways, for example, as 34274597956 + 6035425344 = 185134^2 + 77688^2 .

It is not an unprimeable number, because it can be changed into a prime (40310023301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231960 + ... + 366640.

It is an arithmetic number, because the mean of its divisors is an integer number (1261588741).

Almost surely, 240310023300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40310023300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45417194676).

40310023300 is an abundant number, since it is smaller than the sum of its proper divisors (50524366052).

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

40310023300 is a wasteful number, since it uses less digits than its factorization.

40310023300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134809 (or 134802 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 40310023300 its reverse (332001304), we get a palindrome (40642024604).

The spelling of 40310023300 in words is "forty billion, three hundred ten million, twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 73 82 100 146 164 205 292 365 410 730 820 1025 1460 1825 2050 2993 3650 4100 5986 7300 11972 14965 29930 59860 74825 134681 149650 269362 299300 538724 673405 1346810 2693620 3367025 5521921 6734050 9831713 11043842 13468100 19663426 22087684 27609605 39326852 49158565 55219210 98317130 110438420 138048025 196634260 245792825 276096050 403100233 491585650 552192100 806200466 983171300 1612400932 2015501165 4031002330 8062004660 10077505825 20155011650 40310023300