Search a number
-
+
4041023337540 = 22335719735315373
BaseRepresentation
bin111010110011011111110…
…000101011010001000100
3112022022120212100011122000
4322303133300223101010
51012202003433300130
612332230454305300
7564645216424230
oct72633760532104
915268525304560
104041023337540
111318874363312
12553216658230
132340b3b99767
14dd82d7b15c0
15701b2733260
hex3acdfc2b444

4041023337540 has 384 divisors, whose sum is σ = 14482868843520. Its totient is φ = 916310900736.

The previous prime is 4041023337539. The next prime is 4041023337563. The reversal of 4041023337540 is 457333201404.

4041023337540 is a `hidden beast` number, since 4 + 0 + 4 + 10 + 233 + 375 + 40 = 666.

It is a super-2 number, since 2×40410233375402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4041023337495 and 4041023337504.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 262857294 + ... + 262872666.

It is an arithmetic number, because the mean of its divisors is an integer number (37715804280).

Almost surely, 24041023337540 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 4041023337540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7241434421760).

4041023337540 is an abundant number, since it is smaller than the sum of its proper divisors (10441845505980).

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

4041023337540 is a wasteful number, since it uses less digits than its factorization.

4041023337540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15948 (or 15940 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

Adding to 4041023337540 its reverse (457333201404), we get a palindrome (4498356538944).

The spelling of 4041023337540 in words is "four trillion, forty-one billion, twenty-three million, three hundred thirty-seven thousand, five hundred forty".