Search a number
-
+
29401222144 = 21074101733
BaseRepresentation
bin11011011000011100…
…110000110000000000
32210220000120211120111
4123120130300300000
5440203203102034
621301242121104
72060406156550
oct333034606000
983800524514
1029401222144
11115182503a8
1258464b0194
132a07306888
1415ccadd160
15b7129d364
hex6d8730c00

29401222144 has 44 divisors (see below), whose sum is σ = 67169995984. Its totient is φ = 12600520704.

The previous prime is 29401222073. The next prime is 29401222159. The reversal of 29401222144 is 44122210492.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2043699 + ... + 2058034.

Almost surely, 229401222144 is an apocalyptic number.

It is an amenable number.

29401222144 is an abundant number, since it is smaller than the sum of its proper divisors (37768773840).

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

29401222144 is an equidigital number, since it uses as much as digits as its factorization.

29401222144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4101760 (or 4101742 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 29401222144 in words is "twenty-nine billion, four hundred one million, two hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 3584 7168 4101733 8203466 16406932 28712131 32813864 57424262 65627728 114848524 131255456 229697048 262510912 459394096 525021824 918788192 1050043648 1837576384 2100087296 3675152768 4200174592 7350305536 14700611072 29401222144