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144421333004100 = 223521297371167651
BaseRepresentation
bin100000110101100110110110…
…010000000110111101000100
3200221100112201000022111122010
4200311212312100012331010
5122412144342222112400
61231054124445334220
742264045156530355
oct4065466620067504
9627315630274563
10144421333004100
114202081a473a09
12142459a4267370
136277b477444c9
14279405bb47d2c
1511a6ae4b6a450
hex8359b6406f44

144421333004100 has 72 divisors (see below), whose sum is σ = 418181231472928. Its totient is φ = 38482661952000.

The previous prime is 144421333004099. The next prime is 144421333004141. The reversal of 144421333004100 is 1400333124441.

It is a super-2 number, since 2×1444213330041002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185194726 + ... + 185972925.

Almost surely, 2144421333004100 is an apocalyptic number.

144421333004100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144421333004100 is an abundant number, since it is smaller than the sum of its proper divisors (273759898468828).

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

144421333004100 is a wasteful number, since it uses less digits than its factorization.

144421333004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371168965 (or 371168958 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 144421333004100 its reverse (1400333124441), we get a palindrome (145821666128541).

The spelling of 144421333004100 in words is "one hundred forty-four trillion, four hundred twenty-one billion, three hundred thirty-three million, four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1297 2594 3891 5188 6485 7782 12970 15564 19455 25940 32425 38910 64850 77820 97275 129700 194550 389100 371167651 742335302 1113502953 1484670604 1855838255 2227005906 3711676510 4454011812 5567514765 7423353020 9279191275 11135029530 18558382550 22270059060 27837573825 37116765100 55675147650 111350295300 481404443347 962808886694 1444213330041 1925617773388 2407022216735 2888426660082 4814044433470 5776853320164 7221066650205 9628088866940 12035111083675 14442133300410 24070222167350 28884266600820 36105333251025 48140444334700 72210666502050 144421333004100