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41222214352000 = 2753111314993583
BaseRepresentation
bin10010101111101110010110…
…11100010111110010000000
312101221210201222212010102201
421113313023130113302000
520400341043333231000
6223401120203322544
711453130620446303
oct1127671334276200
9171853658763381
1041222214352000
1112153274382660
124759184220454
131a00313245146
14a27247020b3a
154b743ec7796a
hex257dcb717c80

41222214352000 has 512 divisors, whose sum is σ = 112916643840000. Its totient is φ = 14841515520000.

The previous prime is 41222214351971. The next prime is 41222214352027. The reversal of 41222214352000 is 25341222214.

It is a self number, because there is not a number n which added to its sum of digits gives 41222214352000.

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, 11504942209 + ... + 11504945791.

It is an arithmetic number, because the mean of its divisors is an integer number (220540320000).

Almost surely, 241222214352000 is an apocalyptic number.

41222214352000 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 41222214352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56458321920000).

41222214352000 is an abundant number, since it is smaller than the sum of its proper divisors (71694429488000).

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

41222214352000 is a wasteful number, since it uses less digits than its factorization.

41222214352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4253 (or 4231 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 41222214352000 its reverse (25341222214), we get a palindrome (41247555574214).

The spelling of 41222214352000 in words is "forty-one trillion, two hundred twenty-two billion, two hundred fourteen million, three hundred fifty-two thousand".