Search a number
-
+
4043288248632 = 233441617013559
BaseRepresentation
bin111010110101100110110…
…000101000000100111000
3112022112102201011120120000
4322311212300220010320
51012221123242424012
612333243323233000
7565055311023453
oct72654660500470
915275381146500
104043288248632
111319826898566
12553749078760
132343851a7539
14dd9a650849a
15702964c2ddc
hex3ad66c28138

4043288248632 has 320 divisors, whose sum is σ = 11811490891200. Its totient is φ = 1291127040000.

The previous prime is 4043288248631. The next prime is 4043288248633. The reversal of 4043288248632 is 2368428823404.

4043288248632 is a `hidden beast` number, since 4 + 0 + 432 + 88 + 24 + 86 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (4043288248631) and next prime (4043288248633).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4043288248631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1136072469 + ... + 1136076027.

It is an arithmetic number, because the mean of its divisors is an integer number (36910909035).

Almost surely, 24043288248632 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 4043288248632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5905745445600).

4043288248632 is an abundant number, since it is smaller than the sum of its proper divisors (7768202642568).

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

4043288248632 is a wasteful number, since it uses less digits than its factorization.

4043288248632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4380 (or 4367 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 54.

The spelling of 4043288248632 in words is "four trillion, forty-three billion, two hundred eighty-eight million, two hundred forty-eight thousand, six hundred thirty-two".