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401114500 = 22537111299
BaseRepresentation
bin10111111010001…
…000010110000100
31000221202201122121
4113322020112010
51310141131000
6103445135324
712640263013
oct2772102604
91027681577
10401114500
11196467296
12b23ba544
1365141977
143b3b4a7a
1525333b1a
hex17e88584

401114500 has 48 divisors (see below), whose sum is σ = 888451200. Its totient is φ = 158172000.

The previous prime is 401114479. The next prime is 401114537. The reversal of 401114500 is 5411104.

It is a super-2 number, since 2×4011145002 = 321785684220500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29851 + ... + 41149.

It is an arithmetic number, because the mean of its divisors is an integer number (18509400).

Almost surely, 2401114500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401114500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444225600).

401114500 is an abundant number, since it is smaller than the sum of its proper divisors (487336700).

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

401114500 is a wasteful number, since it uses less digits than its factorization.

401114500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11389 (or 11377 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 401114500 is about 20027.8431190181. The cubic root of 401114500 is about 737.4899740091.

Adding to 401114500 its reverse (5411104), we get a palindrome (406525604).

The spelling of 401114500 in words is "four hundred one million, one hundred fourteen thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 125 142 250 284 355 500 710 1420 1775 3550 7100 8875 11299 17750 22598 35500 45196 56495 112990 225980 282475 564950 802229 1129900 1412375 1604458 2824750 3208916 4011145 5649500 8022290 16044580 20055725 40111450 80222900 100278625 200557250 401114500