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401113040 = 24547107997
BaseRepresentation
bin10111111010000…
…111111111010000
31000221202122122112
4113322013333100
51310141104130
6103445124452
712640255526
oct2772077720
91027678575
10401113040
11196466189
12b23b9728
13651410c3
143b3b4316
1525333495
hex17e87fd0

401113040 has 80 divisors (see below), whose sum is σ = 962295552. Its totient is φ = 155407872.

The previous prime is 401113039. The next prime is 401113043. The reversal of 401113040 is 40311104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401113043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 401822 + ... + 402818.

Almost surely, 2401113040 is an apocalyptic number.

401113040 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 401113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481147776).

401113040 is an abundant number, since it is smaller than the sum of its proper divisors (561182512).

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

401113040 is a wasteful number, since it uses less digits than its factorization.

401113040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 401113040 is about 20027.8066697280. The cubic root of 401113040 is about 737.4890792216.

Adding to 401113040 its reverse (40311104), we get a palindrome (441424144).

The spelling of 401113040 in words is "four hundred one million, one hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 107 188 214 235 376 428 470 535 752 856 940 997 1070 1712 1880 1994 2140 3760 3988 4280 4985 5029 7976 8560 9970 10058 15952 19940 20116 25145 39880 40232 46859 50290 79760 80464 93718 100580 106679 187436 201160 213358 234295 374872 402320 426716 468590 533395 749744 853432 937180 1066790 1706864 1874360 2133580 3748720 4267160 5013913 8534320 10027826 20055652 25069565 40111304 50139130 80222608 100278260 200556520 401113040