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40040424020 = 22517255712437
BaseRepresentation
bin100101010010100110…
…000110001001010100
310211100111010021211102
4211102212012021110
51124000322032040
630221101125232
72615144663042
oct452246061124
9124314107742
1040040424020
1115a87859223
127915559818
133a115670bc
141d1bad1392
15109531e515
hex952986254

40040424020 has 72 divisors (see below), whose sum is σ = 89489569176. Its totient is φ = 15045769216.

The previous prime is 40040424019. The next prime is 40040424029. The reversal of 40040424020 is 2042404004.

It can be written as a sum of positive squares in 12 ways, for example, as 16932775876 + 23107648144 = 130126^2 + 152012^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 40040423983 and 40040424001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40040424029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3213242 + ... + 3225678.

It is an arithmetic number, because the mean of its divisors is an integer number (1242910683).

Almost surely, 240040424020 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 40040424020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44744784588).

40040424020 is an abundant number, since it is smaller than the sum of its proper divisors (49449145156).

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

40040424020 is a wasteful number, since it uses less digits than its factorization.

40040424020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13037 (or 13018 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 40040424020 its reverse (2042404004), we get a palindrome (42082828024).

It can be divided in two parts, 400404 and 24020, that added together give a palindrome (424424).

The spelling of 40040424020 in words is "forty billion, forty million, four hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 557 578 1114 1156 1445 2228 2785 2890 5570 5780 9469 11140 12437 18938 24874 37876 47345 49748 62185 94690 124370 160973 189380 211429 248740 321946 422858 643892 804865 845716 1057145 1609730 2114290 3219460 3594293 4228580 6927409 7188586 13854818 14377172 17971465 27709636 34637045 35942930 69274090 71885860 117765953 138548180 235531906 471063812 588829765 1177659530 2002021201 2355319060 4004042402 8008084804 10010106005 20020212010 40040424020