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144485457200 = 2452742331211
BaseRepresentation
bin1000011010010000000…
…0010001110100110000
3111210221102212201021122
42012210000101310300
54331401234112300
6150213052441412
713303325060000
oct2064400216460
9453842781248
10144485457200
1156304301567
1224003a79268
1310817c46296
146dc9230000
153b598dac85
hex21a4011d30

144485457200 has 600 divisors, whose sum is σ = 438261758976. Its totient is φ = 45638208000.

The previous prime is 144485457199. The next prime is 144485457211. The reversal of 144485457200 is 2754584441.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 684765095 + ... + 684765305.

Almost surely, 2144485457200 is an apocalyptic number.

144485457200 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 144485457200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219130879488).

144485457200 is an abundant number, since it is smaller than the sum of its proper divisors (293776301776).

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

144485457200 is a wasteful number, since it uses less digits than its factorization.

144485457200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 44.

The spelling of 144485457200 in words is "one hundred forty-four billion, four hundred eighty-five million, four hundred fifty-seven thousand, two hundred".