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144214333431030 = 23253894119232603
BaseRepresentation
bin100000110010100110000100…
…000111011001110011110110
3200220121202101212002122222200
4200302212010013121303312
5122400301423324243110
61230415052234205330
742243066423302652
oct4062460407316366
9626552355078880
10144214333431030
1141a50a5661a985
1214211854583846
13626147923b825
1427880221bba62
1511a152be636c0
hex8329841d9cf6

144214333431030 has 48 divisors (see below), whose sum is σ = 375921167441040. Its totient is φ = 38358293989824.

The previous prime is 144214333431029. The next prime is 144214333431031. The reversal of 144214333431030 is 30134333412441.

144214333431030 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 1 + 4 + 3 + 334 + 310 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (144214333431029) and next prime (144214333431031).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144214333431031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2059581292 + ... + 2059651311.

It is an arithmetic number, because the mean of its divisors is an integer number (7831690988355).

Almost surely, 2144214333431030 is an apocalyptic number.

144214333431030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144214333431030 is an abundant number, since it is smaller than the sum of its proper divisors (231706834010010).

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

144214333431030 is a wasteful number, since it uses less digits than its factorization.

144214333431030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4119233005 (or 4119233002 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 144214333431030 its reverse (30134333412441), we get a palindrome (174348666843471).

The spelling of 144214333431030 in words is "one hundred forty-four trillion, two hundred fourteen billion, three hundred thirty-three million, four hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 389 778 1167 1945 2334 3501 3890 5835 7002 11670 17505 35010 4119232603 8238465206 12357697809 20596163015 24715395618 37073093427 41192326030 61788489045 74146186854 123576978090 185365467135 370730934270 1602381482567 3204762965134 4807144447701 8011907412835 9614288895402 14421433343103 16023814825670 24035722238505 28842866686206 48071444477010 72107166715515 144214333431030