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1444741440 = 26353474337
BaseRepresentation
bin101011000011101…
…0000000101000000
310201200112110200020
41112013100011000
510424323211230
6355205453440
750542046112
oct12607200500
93650473606
101444741440
1168157869a
12343a11280
131a04154bc
14d9c3b3b2
1586c81810
hex561d0140

1444741440 has 112 divisors (see below), whose sum is σ = 4601333952. Its totient is φ = 384065536.

The previous prime is 1444741433. The next prime is 1444741489. The reversal of 1444741440 is 441474441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330952 + ... + 335288.

Almost surely, 21444741440 is an apocalyptic number.

1444741440 is a gapful number since it is divisible by the number (10) 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 1444741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300666976).

1444741440 is an abundant number, since it is smaller than the sum of its proper divisors (3156592512).

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

1444741440 is a wasteful number, since it uses less digits than its factorization.

1444741440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4704 (or 4694 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 33.

The square root of 1444741440 is about 38009.7545374868. The cubic root of 1444741440 is about 1130.4812840077.

The spelling of 1444741440 in words is "one billion, four hundred forty-four million, seven hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 347 480 694 960 1041 1388 1735 2082 2776 3470 4164 4337 5205 5552 6940 8328 8674 10410 11104 13011 13880 16656 17348 20820 21685 22208 26022 27760 33312 34696 41640 43370 52044 55520 65055 66624 69392 83280 86740 104088 111040 130110 138784 166560 173480 208176 260220 277568 333120 346960 416352 520440 693920 832704 1040880 1387840 1504939 2081760 3009878 4163520 4514817 6019756 7524695 9029634 12039512 15049390 18059268 22574085 24079024 30098780 36118536 45148170 48158048 60197560 72237072 90296340 96316096 120395120 144474144 180592680 240790240 288948288 361185360 481580480 722370720 1444741440