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401438124 = 223259331571
BaseRepresentation
bin10111111011010…
…111010110101100
31000222101011120200
4113323113112230
51310232004444
6103500113500
712643111353
oct2773272654
91028334520
10401438124
1119666844a
12b2535890
1365226069
143b45a99a
1525399969
hex17ed75ac

401438124 has 72 divisors (see below), whose sum is σ = 1036875840. Its totient is φ = 130917600.

The previous prime is 401438117. The next prime is 401438143. The reversal of 401438124 is 421834104.

It is a super-2 number, since 2×4014381242 = 322305134801278752, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 702759 + ... + 703329.

Almost surely, 2401438124 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 401438124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518437920).

401438124 is an abundant number, since it is smaller than the sum of its proper divisors (635437716).

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

401438124 is a wasteful number, since it uses less digits than its factorization.

401438124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 401438124 is about 20035.9208423272. The cubic root of 401438124 is about 737.6882592842.

The spelling of 401438124 in words is "four hundred one million, four hundred thirty-eight thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 331 354 531 571 662 708 993 1062 1142 1324 1713 1986 2124 2284 2979 3426 3972 5139 5958 6852 10278 11916 19529 20556 33689 39058 58587 67378 78116 101067 117174 134756 175761 189001 202134 234348 303201 351522 378002 404268 567003 606402 703044 756004 1134006 1212804 1701009 2268012 3402018 6804036 11151059 22302118 33453177 44604236 66906354 100359531 133812708 200719062 401438124