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401413012 = 2271113293457
BaseRepresentation
bin10111111011010…
…001001110010100
31000222022220010121
4113323101032110
51310230204022
6103455401324
712642645220
oct2773211624
91028286117
10401413012
111966505a0
12b2523244
13652177c0
143b451780
15253922c7
hex17ed1394

401413012 has 96 divisors (see below), whose sum is σ = 975985920. Its totient is φ = 139345920.

The previous prime is 401413007. The next prime is 401413021. The reversal of 401413012 is 210314104.

It is a super-2 number, since 2×4014130122 = 322264812405824288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114388 + ... + 117844.

It is an arithmetic number, because the mean of its divisors is an integer number (10166520).

Almost surely, 2401413012 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 401413012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487992960).

401413012 is an abundant number, since it is smaller than the sum of its proper divisors (574572908).

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

401413012 is a wasteful number, since it uses less digits than its factorization.

401413012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3521 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 401413012 is about 20035.2941580602. The cubic root of 401413012 is about 737.6728769104.

Adding to 401413012 its reverse (210314104), we get a palindrome (611727116).

The spelling of 401413012 in words is "four hundred one million, four hundred thirteen thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 29 44 52 58 77 91 116 143 154 182 203 286 308 319 364 377 406 572 638 754 812 1001 1276 1508 2002 2233 2639 3457 4004 4147 4466 5278 6914 8294 8932 10556 13828 16588 24199 29029 38027 44941 48398 58058 76054 89882 96796 100253 116116 152108 179764 200506 266189 314587 401012 494351 532378 629174 701771 988702 1064756 1102783 1258348 1303289 1403542 1977404 2205566 2606578 2807084 3460457 4411132 5213156 6920914 7719481 9123023 13841828 14336179 15438962 18246046 28672358 30877924 36492092 57344716 100353253 200706506 401413012