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2044142232 = 23311311012473
BaseRepresentation
bin111100111010111…
…0010001010011000
312021110102011222120
41321311302022120
513141300022412
6534501021240
7101440631226
oct17165621230
95243364876
102044142232
11959957350
124906b4820
13267661422
141556a9b16
15be6d1b8c
hex79d72298

2044142232 has 128 divisors (see below), whose sum is σ = 5814097920. Its totient is φ = 593280000.

The previous prime is 2044142197. The next prime is 2044142239. The reversal of 2044142232 is 2322414402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2044142239) 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, 825348 + ... + 827820.

It is an arithmetic number, because the mean of its divisors is an integer number (45422640).

Almost surely, 22044142232 is an apocalyptic number.

2044142232 is a gapful number since it is divisible by the number (22) 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 2044142232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2907048960).

2044142232 is an abundant number, since it is smaller than the sum of its proper divisors (3769955688).

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

2044142232 is a wasteful number, since it uses less digits than its factorization.

2044142232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2625 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2044142232 is about 45212.1911877759. The cubic root of 2044142232 is about 1269.1229673414.

Adding to 2044142232 its reverse (2322414402), we get a palindrome (4366556634).

The spelling of 2044142232 in words is "two billion, forty-four million, one hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 101 124 132 186 202 248 264 303 341 372 404 606 682 744 808 1023 1111 1212 1364 2046 2222 2424 2473 2728 3131 3333 4092 4444 4946 6262 6666 7419 8184 8888 9393 9892 12524 13332 14838 18786 19784 25048 26664 27203 29676 34441 37572 54406 59352 68882 75144 76663 81609 103323 108812 137764 153326 163218 206646 217624 229989 249773 275528 306652 326436 413292 459978 499546 613304 652872 749319 826584 843293 919956 999092 1498638 1686586 1839912 1998184 2529879 2747503 2997276 3373172 5059758 5495006 5994552 6746344 7742963 8242509 10119516 10990012 15485926 16485018 20239032 21980024 23228889 30971852 32970036 46457778 61943704 65940072 85172593 92915556 170345186 185831112 255517779 340690372 511035558 681380744 1022071116 2044142232