Search a number
-
+
140816032414336 = 276118034840217
BaseRepresentation
bin100000000001001001001001…
…100101110011101010000000
3200110120212210102012022111101
4200001021021211303222000
5121424112213244224321
61215253554153424144
741442423361253626
oct4001111145635200
9613525712168441
10140816032414336
1140960820260144
121396311040b054
136075b83082176
1426ab764a21516
151142e35078791
hex801249973a80

140816032414336 has 32 divisors (see below), whose sum is σ = 285130823846580. Its totient is φ = 69253786429440.

The previous prime is 140816032414331. The next prime is 140816032414361. The reversal of 140816032414336 is 633414230618041.

It can be written as a sum of positive squares in 2 ways, for example, as 135900943414336 + 4915089000000 = 11657656^2 + 2217000^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (140816032414331) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9017412301 + ... + 9017427916.

Almost surely, 2140816032414336 is an apocalyptic number.

140816032414336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

140816032414336 is an abundant number, since it is smaller than the sum of its proper divisors (144314791432244).

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

140816032414336 is an equidigital number, since it uses as much as digits as its factorization.

140816032414336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18034840292 (or 18034840280 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 46.

The spelling of 140816032414336 in words is "one hundred forty trillion, eight hundred sixteen billion, thirty-two million, four hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 488 976 1952 3904 7808 18034840217 36069680434 72139360868 144278721736 288557443472 577114886944 1100125253237 1154229773888 2200250506474 2308459547776 4400501012948 8801002025896 17602004051792 35204008103584 70408016207168 140816032414336