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2401031142 = 2321789131673
BaseRepresentation
bin1000111100011100…
…1101001111100110
320012022222000112100
42033013031033212
514404130444032
61034130232530
7113333266536
oct21707151746
96168860470
102401031142
111022357264
12570125746
132c358a0b3
1418ac4b4c6
15e0bcb97c
hex8f1cd3e6

2401031142 has 96 divisors (see below), whose sum is σ = 5620998240. Its totient is φ = 738017280.

The previous prime is 2401031141. The next prime is 2401031153. The reversal of 2401031142 is 2411301042.

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 (2401031141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3567318 + ... + 3567990.

It is an arithmetic number, because the mean of its divisors is an integer number (58552065).

Almost surely, 22401031142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2401031142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810499120).

2401031142 is an abundant number, since it is smaller than the sum of its proper divisors (3219967098).

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

2401031142 is a wasteful number, since it uses less digits than its factorization.

2401031142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 915 counting only the distinct ones).

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

The square root of 2401031142 is about 49000.3177744798. The cubic root of 2401031142 is about 1339.0576172745.

Adding to 2401031142 its reverse (2411301042), we get a palindrome (4812332184).

The spelling of 2401031142 in words is "two billion, four hundred one million, thirty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 89 102 131 153 178 262 267 306 393 534 673 786 801 1179 1346 1513 1602 2019 2227 2358 3026 4038 4454 4539 6057 6681 9078 11441 11659 12114 13362 13617 20043 22882 23318 27234 34323 34977 40086 59897 68646 69954 88163 102969 104931 119794 176326 179691 198203 205938 209862 264489 359382 396406 528978 539073 594609 793467 1018249 1078146 1189218 1498771 1586934 1783827 2036498 2997542 3054747 3567654 4496313 6109494 7846507 8992626 9164241 13488939 15693014 18328482 23539521 26977878 47079042 70618563 133390619 141237126 266781238 400171857 800343714 1200515571 2401031142