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41014222444000 = 2553134335993041
BaseRepresentation
bin10010101001101010111100…
…01010001101010111100000
312101012220212200101110011201
421110311132022031113200
520333434111421202000
6223121401303050544
711432115444424051
oct1124653612152740
9171186780343151
1041014222444000
1112083041370713
1247249b8140a54
1319b6817287130
14a1b155780728
154b1d19da596a
hex254d5e28d5e0

41014222444000 has 384 divisors, whose sum is σ = 108991686585600. Its totient is φ = 15078555648000.

The previous prime is 41014222443983. The next prime is 41014222444043. The reversal of 41014222444000 is 44422241014.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 41014222444000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13487082480 + ... + 13487085520.

It is an arithmetic number, because the mean of its divisors is an integer number (283832517150).

Almost surely, 241014222444000 is an apocalyptic number.

41014222444000 is a gapful number since it is divisible by the number (40) 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 41014222444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54495843292800).

41014222444000 is an abundant number, since it is smaller than the sum of its proper divisors (67977464141600).

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

41014222444000 is a wasteful number, since it uses less digits than its factorization.

41014222444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4111 (or 4093 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 41014222444000 its reverse (44422241014), we get a palindrome (41058644685014).

The spelling of 41014222444000 in words is "forty-one trillion, fourteen billion, two hundred twenty-two million, four hundred forty-four thousand".