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329723623141 = 1122724988621
BaseRepresentation
bin1001100110001010000…
…11110011011011100101
31011112002000011112100021
410303011003303123211
520400233221420031
6411250053315141
732551600360633
oct4630503633345
91145060145307
10329723623141
11117920431300
1253a9b935ab1
1325128b774b3
1411d5c9a6353
15889bde3511
hex4cc50f36e5

329723623141 has 6 divisors (see below), whose sum is σ = 362423486726. Its totient is φ = 299748748200.

The previous prime is 329723623133. The next prime is 329723623147. The reversal of 329723623141 is 141326327923.

It can be written as a sum of positive squares in only one way, i.e., 329326776900 + 396846241 = 573870^2 + 19921^2 .

It is not a de Polignac number, because 329723623141 - 23 = 329723623133 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329723623147) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1362494190 + ... + 1362494431.

Almost surely, 2329723623141 is an apocalyptic number.

It is an amenable number.

329723623141 is a deficient number, since it is larger than the sum of its proper divisors (32699863585).

329723623141 is a wasteful number, since it uses less digits than its factorization.

329723623141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724988643 (or 2724988632 counting only the distinct ones).

The product of its digits is 326592, while the sum is 43.

The spelling of 329723623141 in words is "three hundred twenty-nine billion, seven hundred twenty-three million, six hundred twenty-three thousand, one hundred forty-one".

Divisors: 1 11 121 2724988621 29974874831 329723623141