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401122143000 = 233253371677213
BaseRepresentation
bin1011101011001001011…
…11100010101100011000
31102100100220002010210200
411311210233202230120
523032444232034000
6504134543342200
740660115646645
oct5654457425430
91370326063720
10401122143000
11145129aa1007
12658a6bb1960
132ba96c72997
14155b3226dcc
15a67a1a5500
hex5d64be2b18

401122143000 has 384 divisors, whose sum is σ = 1400968033920. Its totient is φ = 103437388800.

The previous prime is 401122142923. The next prime is 401122143001. The reversal of 401122143000 is 341221104.

401122143000 is a `hidden beast` number, since 4 + 0 + 11 + 221 + 430 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401122143001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55607394 + ... + 55614606.

It is an arithmetic number, because the mean of its divisors is an integer number (3648354255).

Almost surely, 2401122143000 is an apocalyptic number.

401122143000 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 401122143000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700484016960).

401122143000 is an abundant number, since it is smaller than the sum of its proper divisors (999845890920).

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

401122143000 is a wasteful number, since it uses less digits than its factorization.

401122143000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7444 (or 7427 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 401122143000 its reverse (341221104), we get a palindrome (401463364104).

The spelling of 401122143000 in words is "four hundred one billion, one hundred twenty-two million, one hundred forty-three thousand".