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4213432342144 = 27236732126587
BaseRepresentation
bin111101010100000100001…
…000110101011010000000
3112220210121100022001211001
4331110010020311122000
51023013102134422034
612543342445501344
7613260531661354
oct75240410653200
915823540261731
104213432342144
1113849a7793283
12580711b71854
1324742bc42c4c
14107d0736d464
15749037d2a14
hex3d504235680

4213432342144 has 64 divisors (see below), whose sum is σ = 8771920309440. Its totient is φ = 2012124635136.

The previous prime is 4213432342139. The next prime is 4213432342157. The reversal of 4213432342144 is 4412432343124.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 918019 + ... + 3044605.

It is an arithmetic number, because the mean of its divisors is an integer number (137061254835).

Almost surely, 24213432342144 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 4213432342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4385960154720).

4213432342144 is an abundant number, since it is smaller than the sum of its proper divisors (4558487967296).

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

4213432342144 is a wasteful number, since it uses less digits than its factorization.

4213432342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2127297 (or 2127285 counting only the distinct ones).

The product of its digits is 221184, while the sum is 37.

Adding to 4213432342144 its reverse (4412432343124), we get a palindrome (8625864685268).

The spelling of 4213432342144 in words is "four trillion, two hundred thirteen billion, four hundred thirty-two million, three hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 673 736 1346 1472 2692 2944 5384 10768 15479 21536 30958 43072 61916 86144 123832 247664 495328 990656 1981312 2126587 4253174 8506348 17012696 34025392 48911501 68050784 97823002 136101568 195646004 272203136 391292008 782584016 1431193051 1565168032 2862386102 3130336064 5724772204 6260672128 11449544408 22899088816 32917440173 45798177632 65834880346 91596355264 131669760692 183192710528 263339521384 526679042768 1053358085536 2106716171072 4213432342144