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401114140 = 225713121871
BaseRepresentation
bin10111111010001…
…000010000011100
31000221202201011021
4113322020100130
51310141123030
6103445133524
712640261660
oct2772102034
91027681137
10401114140
11196466a99
12b23ba2a4
136514175b
143b3b48a0
152533397a
hex17e8841c

401114140 has 48 divisors (see below), whose sum is σ = 970066944. Its totient is φ = 136468800.

The previous prime is 401114113. The next prime is 401114143. The reversal of 401114140 is 41411104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401114143) by changing a digit.

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, 7405 + ... + 29275.

It is an arithmetic number, because the mean of its divisors is an integer number (20209728).

Almost surely, 2401114140 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 401114140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485033472).

401114140 is an abundant number, since it is smaller than the sum of its proper divisors (568952804).

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

401114140 is a wasteful number, since it uses less digits than its factorization.

401114140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22018 (or 22016 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 401114140 is about 20027.8341315281. The cubic root of 401114140 is about 737.4897533767.

Adding to 401114140 its reverse (41411104), we get a palindrome (442525244).

The spelling of 401114140 in words is "four hundred one million, one hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 131 140 262 524 655 917 1310 1834 2620 3668 4585 9170 18340 21871 43742 87484 109355 153097 218710 306194 437420 612388 765485 1530970 2865101 3061940 5730202 11460404 14325505 20055707 28651010 40111414 57302020 80222828 100278535 200557070 401114140