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404000142 = 237134118047
BaseRepresentation
bin11000000101001…
…000110110001110
31001011012100000020
4120011020312032
51311411001032
6104031043010
713003641660
oct3005106616
91034170006
10404000142
11198058317
12b3370466
1365912250
143b926530
1525703b2c
hex18148d8e

404000142 has 64 divisors (see below), whose sum is σ = 1018773504. Its totient is φ = 103944960.

The previous prime is 404000137. The next prime is 404000147. The reversal of 404000142 is 241000404.

It is an interprime number because it is at equal distance from previous prime (404000137) and next prime (404000147).

It is a super-2 number, since 2×4040001422 = 326432229472040328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404000147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13363 + ... + 31409.

It is an arithmetic number, because the mean of its divisors is an integer number (15918336).

Almost surely, 2404000142 is an apocalyptic number.

404000142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 404000142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509386752).

404000142 is an abundant number, since it is smaller than the sum of its proper divisors (614773362).

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

404000142 is a wasteful number, since it uses less digits than its factorization.

404000142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18113.

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 404000142 is about 20099.7547746235. The cubic root of 404000142 is about 739.2542657836.

Adding to 404000142 its reverse (241000404), we get a palindrome (645000546).

The spelling of 404000142 in words is "four hundred four million, one hundred forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 13 14 21 26 39 41 42 78 82 91 123 182 246 273 287 533 546 574 861 1066 1599 1722 3198 3731 7462 11193 18047 22386 36094 54141 108282 126329 234611 252658 378987 469222 703833 739927 757974 1407666 1479854 1642277 2219781 3284554 4439562 4926831 5179489 9619051 9853662 10358978 15538467 19238102 28857153 31076934 57714306 67333357 134666714 202000071 404000142