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144455455041300 = 2232521350924256621
BaseRepresentation
bin100000110110000110101000…
…000101010110011100010100
3200221110210210000221121000200
4200312012220011112130110
5122413224232442310200
61231121530411140500
742266363561210364
oct4066065005263424
9627423700847020
10144455455041300
114203423a474557
1214250527744730
13627b124ab9270
1427959777d29a4
1511a79405c3800
hex8361a8156714

144455455041300 has 216 divisors, whose sum is σ = 488575424926680. Its totient is φ = 35488405324800.

The previous prime is 144455455041259. The next prime is 144455455041323. The reversal of 144455455041300 is 3140554554441.

144455455041300 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 5 + 5 + 4 + 5 + 504 + 130 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 63225684325764 + 81229770715536 = 7951458^2 + 9012756^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6173011 + ... + 18083610.

Almost surely, 2144455455041300 is an apocalyptic number.

144455455041300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144455455041300 is an abundant number, since it is smaller than the sum of its proper divisors (344119969885380).

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

144455455041300 is a wasteful number, since it uses less digits than its factorization.

144455455041300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24257163 (or 24257153 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 45.

The spelling of 144455455041300 in words is "one hundred forty-four trillion, four hundred fifty-five billion, four hundred fifty-five million, forty-one thousand, three hundred".