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1144431340 = 22513311071327
BaseRepresentation
bin100010000110110…
…1010001011101100
32221202110010122221
41010031222023230
54320433300330
6305321045124
740234335343
oct10415521354
92852403587
101144431340
11538002228
1227b3267a4
13153139510
14abdc6b5a
156a710b7a
hex4436a2ec

1144431340 has 96 divisors (see below), whose sum is σ = 2698665984. Its totient is φ = 404801280.

The previous prime is 1144431287. The next prime is 1144431359. The reversal of 1144431340 is 431344411.

1144431340 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 861757 + ... + 863083.

It is an arithmetic number, because the mean of its divisors is an integer number (28111104).

Almost surely, 21144431340 is an apocalyptic number.

1144431340 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 1144431340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349332992).

1144431340 is an abundant number, since it is smaller than the sum of its proper divisors (1554234644).

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

1144431340 is a wasteful number, since it uses less digits than its factorization.

1144431340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 1144431340 is about 33829.4448668612. Note that the first 3 decimals coincide. The cubic root of 1144431340 is about 1045.9957359619.

Adding to 1144431340 its reverse (431344411), we get a palindrome (1575775751).

The spelling of 1144431340 in words is "one billion, one hundred forty-four million, four hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 107 124 130 155 214 260 310 403 428 535 620 806 1070 1327 1391 1612 2015 2140 2654 2782 3317 4030 5308 5564 6634 6635 6955 8060 13268 13270 13910 16585 17251 26540 27820 33170 34502 41137 43121 66340 69004 82274 86242 86255 141989 164548 172484 172510 205685 215605 283978 345020 411370 431210 534781 567956 709945 822740 862420 1069562 1419890 1845857 2139124 2673905 2839780 3691714 4401659 5347810 7383428 8803318 9229285 10695620 17606636 18458570 22008295 36917140 44016590 57221567 88033180 114443134 228886268 286107835 572215670 1144431340