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2444143040 = 265173712143
BaseRepresentation
bin1001000110101110…
…1010100111000000
320022100002022221022
42101223222213000
520001200034130
61042310245012
7114365605313
oct22153524700
96270068838
102444143040
111044722929
12582656768
132cc4a31b1
1419287097a
15e48957e5
hex91aea9c0

2444143040 has 112 divisors (see below), whose sum is σ = 6329549952. Its totient is φ = 895205376.

The previous prime is 2444143019. The next prime is 2444143043. The reversal of 2444143040 is 403414442.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2444143043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195209 + ... + 207351.

Almost surely, 22444143040 is an apocalyptic number.

2444143040 is a gapful number since it is divisible by the number (20) 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 2444143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164774976).

2444143040 is an abundant number, since it is smaller than the sum of its proper divisors (3885406912).

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

2444143040 is a wasteful number, since it uses less digits than its factorization.

2444143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12214 (or 12204 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 2444143040 is about 49438.2750508146. The cubic root of 2444143040 is about 1347.0246387936.

Adding to 2444143040 its reverse (403414442), we get a palindrome (2847557482).

The spelling of 2444143040 in words is "two billion, four hundred forty-four million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 37 40 64 68 74 80 85 136 148 160 170 185 272 296 320 340 370 544 592 629 680 740 1088 1184 1258 1360 1480 2368 2516 2720 2960 3145 5032 5440 5920 6290 10064 11840 12143 12580 20128 24286 25160 40256 48572 50320 60715 97144 100640 121430 194288 201280 206431 242860 388576 412862 449291 485720 777152 825724 898582 971440 1032155 1651448 1797164 1942880 2064310 2246455 3302896 3594328 3885760 4128620 4492910 6605792 7188656 7637947 8257240 8985820 13211584 14377312 15275894 16514480 17971640 28754624 30551788 33028960 35943280 38189735 61103576 66057920 71886560 76379470 122207152 143773120 152758940 244414304 305517880 488828608 611035760 1222071520 2444143040