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340032145001 = 31371012935183
BaseRepresentation
bin1001111001010110111…
…11101100011001101001
31012111200102110200220012
410330223133230121221
521032341212120001
6420113020541305
733365212354343
oct4745337543151
91174612420805
10340032145001
1112123031035a
1255a980b1835
13260ac757583
1412659aba293
158ca1de52bb
hex4f2b7ec669

340032145001 has 16 divisors (see below), whose sum is σ = 364056741888. Its totient is φ = 316999656000.

The previous prime is 340032144971. The next prime is 340032145003. The reversal of 340032145001 is 100541230043.

It is a cyclic number.

It is not a de Polignac number, because 340032145001 - 222 = 340027950697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (340032145003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1351745 + ... + 1583438.

It is an arithmetic number, because the mean of its divisors is an integer number (22753546368).

Almost surely, 2340032145001 is an apocalyptic number.

340032145001 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

340032145001 is a deficient number, since it is larger than the sum of its proper divisors (24024596887).

340032145001 is a wasteful number, since it uses less digits than its factorization.

340032145001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935352.

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 340032145001 its reverse (100541230043), we get a palindrome (440573375044).

The spelling of 340032145001 in words is "three hundred forty billion, thirty-two million, one hundred forty-five thousand, one".

Divisors: 1 31 37 101 1147 3131 3737 115847 2935183 90990673 108601771 296453483 3366654901 9190057973 10968778871 340032145001