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144441661455300 = 2235211217577405659
BaseRepresentation
bin100000110101111001110001…
…111010111111101111000100
3200221102111011201212211020010
4200311321301322333233010
5122413013010313032200
61231111325550510220
742265365010522056
oct4065716172775704
9627374151784203
10144441661455300
114202940133a200
1214249918205370
136279a3719bc61
1427950298cb8d6
1511a73d4665150
hex835e71ebfbc4

144441661455300 has 432 divisors, whose sum is σ = 487229859668160. Its totient is φ = 32899188326400.

The previous prime is 144441661455281. The next prime is 144441661455331. The reversal of 144441661455300 is 3554166144441.

It is a self number, because there is not a number n which added to its sum of digits gives 144441661455300.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 355863871 + ... + 356269529.

It is an arithmetic number, because the mean of its divisors is an integer number (1127846897380).

Almost surely, 2144441661455300 is an apocalyptic number.

144441661455300 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 144441661455300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243614929834080).

144441661455300 is an abundant number, since it is smaller than the sum of its proper divisors (342788198212860).

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

144441661455300 is a wasteful number, since it uses less digits than its factorization.

144441661455300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406292 (or 406274 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 144441661455300 in words is "one hundred forty-four trillion, four hundred forty-one billion, six hundred sixty-one million, four hundred fifty-five thousand, three hundred".