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144144414210330 = 23354312415539553
BaseRepresentation
bin100000110001100100111100…
…100110101111100100011010
3200220101001221001202020111000
4200301210330212233210122
5122343130230014212310
61230323010230445430
742235042646603322
oct4061447446574432
9626331831666430
10144144414210330
1141a24336a91566
12142001a0803876
1362579b57681a1
1427848ac1d2282
15119e7d89ac4c0
hex83193c9af91a

144144414210330 has 64 divisors (see below), whose sum is σ = 393324293070720. Its totient is φ = 37544591605248.

The previous prime is 144144414210271. The next prime is 144144414210371. The reversal of 144144414210330 is 33012414441441.

144144414210330 is a `hidden beast` number, since 1 + 4 + 41 + 4 + 441 + 42 + 103 + 30 = 666.

It is a super-2 number, since 2×1441444142103302 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6207758167 + ... + 6207781386.

It is an arithmetic number, because the mean of its divisors is an integer number (6145692079230).

Almost surely, 2144144414210330 is an apocalyptic number.

144144414210330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144144414210330 is an abundant number, since it is smaller than the sum of its proper divisors (249179878860390).

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

144144414210330 is a wasteful number, since it uses less digits than its factorization.

144144414210330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12415539612 (or 12415539606 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 144144414210330 its reverse (33012414441441), we get a palindrome (177156828651771).

The spelling of 144144414210330 in words is "one hundred forty-four trillion, one hundred forty-four billion, four hundred fourteen million, two hundred ten thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 86 90 129 135 215 258 270 387 430 645 774 1161 1290 1935 2322 3870 5805 11610 12415539553 24831079106 37246618659 62077697765 74493237318 111739855977 124155395530 186233093295 223479711954 335219567931 372466186590 533868200779 558699279885 670439135862 1067736401558 1117398559770 1601604602337 1676097839655 2669341003895 3203209204674 3352195679310 4804813807011 5338682007790 8008023011685 9609627614022 14414441421033 16016046023370 24024069035055 28828882842066 48048138070110 72072207105165 144144414210330