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449141039424 = 26347111125193
BaseRepresentation
bin1101000100100101110…
…01000110000101000000
31120221022102002211020000
412202102321012011000
524324320101230144
6542155455120000
744310063562350
oct6422271060500
91527272084200
10449141039424
11163530453680
1273068513000
133347a45336c
1417a4a7bab60
15ba3ab6b769
hex6892e46140

449141039424 has 280 divisors, whose sum is σ = 1659922195008. Its totient is φ = 116659906560.

The previous prime is 449141039419. The next prime is 449141039441. The reversal of 449141039424 is 424930141944.

449141039424 is a `hidden beast` number, since 44 + 91 + 410 + 3 + 94 + 24 = 666.

It is a super-2 number, since 2×4491410394242 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 449141039424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 163429 + ... + 961764.

Almost surely, 2449141039424 is an apocalyptic number.

449141039424 is a gapful number since it is divisible by the number (44) 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 449141039424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829961097504).

449141039424 is an abundant number, since it is smaller than the sum of its proper divisors (1210781155584).

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

449141039424 is a wasteful number, since it uses less digits than its factorization.

449141039424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125235 (or 1125216 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 449141039424 in words is "four hundred forty-nine billion, one hundred forty-one million, thirty-nine thousand, four hundred twenty-four".