Search a number
-
+
40144040125540 = 22513154400154329
BaseRepresentation
bin10010010000010110000110…
…10000000110010001100100
312021010201210011211112101221
421020023003100012101210
520230204443233004130
6221213530100030124
711312211510646501
oct1110130320062144
9167121704745357
1040144040125540
1111877aa010933a
124604225992344
13195274a189b90
149cada65044a8
1549938a48c87a
hex2482c3406464

40144040125540 has 24 divisors (see below), whose sum is σ = 90787290746040. Its totient is φ = 14822414815488.

The previous prime is 40144040125487. The next prime is 40144040125549. The reversal of 40144040125540 is 4552104044104.

It can be written as a sum of positive squares in 4 ways, for example, as 851677962496 + 39292362163044 = 922864^2 + 6268362^2 .

It is a super-2 number, since 2×401440401255402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40144040125496 and 40144040125505.

It is not an unprimeable number, because it can be changed into a prime (40144040125549) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77200076905 + ... + 77200077424.

It is an arithmetic number, because the mean of its divisors is an integer number (3782803781085).

Almost surely, 240144040125540 is an apocalyptic number.

It is an amenable number.

40144040125540 is an abundant number, since it is smaller than the sum of its proper divisors (50643250620500).

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

40144040125540 is a wasteful number, since it uses less digits than its factorization.

40144040125540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154400154351 (or 154400154349 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 34.

Adding to 40144040125540 its reverse (4552104044104), we get a palindrome (44696144169644).

The spelling of 40144040125540 in words is "forty trillion, one hundred forty-four billion, forty million, one hundred twenty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 154400154329 308800308658 617600617316 772000771645 1544001543290 2007202006277 3088003086580 4014404012554 8028808025108 10036010031385 20072020062770 40144040125540