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401814140 = 2257132329331
BaseRepresentation
bin10111111100110…
…011001001111100
31001000002021101012
4113330303021330
51310331023030
6103512134352
712646235540
oct2774631174
91030067335
10401814140
111968a4a02
12b26973b8
1365328260
143b517a20
1525421095
hex17f3327c

401814140 has 192 divisors, whose sum is σ = 1124444160. Its totient is φ = 117089280.

The previous prime is 401814107. The next prime is 401814151. The reversal of 401814140 is 41418104.

It is a super-2 number, since 2×4018141402 = 322909206207879200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1213775 + ... + 1214105.

It is an arithmetic number, because the mean of its divisors is an integer number (5856480).

Almost surely, 2401814140 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 401814140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562222080).

401814140 is an abundant number, since it is smaller than the sum of its proper divisors (722630020).

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

401814140 is a wasteful number, since it uses less digits than its factorization.

401814140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 401814140 is about 20045.3021927832. The cubic root of 401814140 is about 737.9185114795.

The spelling of 401814140 in words is "four hundred one million, eight hundred fourteen thousand, one hundred forty".