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144606738100 = 225211131460671
BaseRepresentation
bin1000011010101100111…
…0111011011010110100
3111211020220002102101211
42012223032323122310
54332123311104400
6150233104131204
713306326664426
oct2065316733264
9454226072354
10144606738100
1156366808710
1224038606b04
13108370cb226
146ddb3a0816
153b65395dba
hex21ab3bb6b4

144606738100 has 36 divisors (see below), whose sum is σ = 342323589888. Its totient is φ = 52584268000.

The previous prime is 144606738083. The next prime is 144606738137. The reversal of 144606738100 is 1837606441.

It is a super-2 number, since 2×1446067381002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65729236 + ... + 65731435.

It is an arithmetic number, because the mean of its divisors is an integer number (9508988608).

Almost surely, 2144606738100 is an apocalyptic number.

144606738100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144606738100 is an abundant number, since it is smaller than the sum of its proper divisors (197716851788).

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

144606738100 is a wasteful number, since it uses less digits than its factorization.

144606738100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131460696 (or 131460689 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 144606738100 in words is "one hundred forty-four billion, six hundred six million, seven hundred thirty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 131460671 262921342 525842684 657303355 1314606710 1446067381 2629213420 2892134762 3286516775 5784269524 6573033550 7230336905 13146067100 14460673810 28921347620 36151684525 72303369050 144606738100