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32141040234345 = 3257313291453173
BaseRepresentation
bin1110100111011011010110…
…10010010010111101101001
311012210122122100121212110100
413103231223102102331221
513203044322244444340
6152205220125540013
76525053640166620
oct723555322227551
9135718570555410
1032141040234345
11a271a3632a489
123731195414609
1314c1b6bc1bb93
147d18c568a6b7
153ab0deea5830
hex1d3b6b492f69

32141040234345 has 48 divisors (see below), whose sum is σ = 65723736978432. Its totient is φ = 14219077703040.

The previous prime is 32141040234343. The next prime is 32141040234349. The reversal of 32141040234345 is 54343204014123.

32141040234345 is a `hidden beast` number, since 3 + 2 + 1 + 41 + 0 + 40 + 234 + 345 = 666.

It is not a de Polignac number, because 32141040234345 - 21 = 32141040234343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32141040234343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1645716822 + ... + 1645736351.

It is an arithmetic number, because the mean of its divisors is an integer number (1369244520384).

Almost surely, 232141040234345 is an apocalyptic number.

32141040234345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

32141040234345 is an abundant number, since it is smaller than the sum of its proper divisors (33582696744087).

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

32141040234345 is a wasteful number, since it uses less digits than its factorization.

32141040234345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3291453222 (or 3291453219 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 32141040234345 its reverse (54343204014123), we get a palindrome (86484244248468).

The spelling of 32141040234345 in words is "thirty-two trillion, one hundred forty-one billion, forty million, two hundred thirty-four thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 31 35 45 63 93 105 155 217 279 315 465 651 1085 1395 1953 3255 9765 3291453173 9874359519 16457265865 23040172211 29623078557 49371797595 69120516633 102035048363 115200861055 148115392785 207361549899 306105145089 345602583165 510175241815 714245338541 918315435267 1036807749495 1530525725445 2142736015623 3571226692705 4591577176335 6428208046869 10713680078115 32141040234345