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40312441000 = 2353133100957
BaseRepresentation
bin100101100010110011…
…110000100010101000
310212001102222011222101
4211202303300202220
51130024441103000
630304055303144
72624660044336
oct454263604250
9125042864871
1040312441000
111610735a647
12799067aab4
133a55a17cb0
141d45c9cb56
1510ae151e6a
hex962cf08a8

40312441000 has 64 divisors (see below), whose sum is σ = 101587384080. Its totient is φ = 14884588800.

The previous prime is 40312440983. The next prime is 40312441027. The reversal of 40312441000 is 14421304.

It can be written as a sum of positive squares in 8 ways, for example, as 2406687364 + 37905753636 = 49058^2 + 194694^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1537479 + ... + 1563478.

Almost surely, 240312441000 is an apocalyptic number.

40312441000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40312441000 is an abundant number, since it is smaller than the sum of its proper divisors (61274943080).

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

40312441000 is a wasteful number, since it uses less digits than its factorization.

40312441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100991 (or 3100977 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 40312441000 its reverse (14421304), we get a palindrome (40326862304).

The spelling of 40312441000 in words is "forty billion, three hundred twelve million, four hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 3100957 6201914 12403828 15504785 24807656 31009570 40312441 62019140 77523925 80624882 124038280 155047850 161249764 201562205 310095700 322499528 387619625 403124410 620191400 775239250 806248820 1007811025 1550478500 1612497640 2015622050 3100957000 4031244100 5039055125 8062488200 10078110250 20156220500 40312441000