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144505063620 = 2232517375632267
BaseRepresentation
bin1000011010010100101…
…1000100100011000100
3111210222210202211020100
42012211023010203010
54331421244013440
6150215033004100
713303653526401
oct2064513044304
9453883684210
10144505063620
1156314383115
122400a553630
131081c01c508
146dcba952a8
153b5b4b0230
hex21a52c48c4

144505063620 has 288 divisors, whose sum is σ = 477717222528. Its totient is φ = 35209506816.

The previous prime is 144505063613. The next prime is 144505063621. The reversal of 144505063620 is 26360505441.

144505063620 is a `hidden beast` number, since 1 + 44 + 50 + 506 + 3 + 62 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (144505063621) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63741727 + ... + 63743993.

It is an arithmetic number, because the mean of its divisors is an integer number (1658740356).

Almost surely, 2144505063620 is an apocalyptic number.

144505063620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144505063620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238858611264).

144505063620 is an abundant number, since it is smaller than the sum of its proper divisors (333212158908).

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

144505063620 is a wasteful number, since it uses less digits than its factorization.

144505063620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2899 (or 2894 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 144505063620 in words is "one hundred forty-four billion, five hundred five million, sixty-three thousand, six hundred twenty".