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1144043940 = 22351312711549
BaseRepresentation
bin100010000110000…
…1011100110100100
32221201201110020210
41010030023212210
54320333401230
6305304455420
740231133034
oct10414134644
92851643223
101144043940
11537868166
1227b17a570
131530320a0
14abd258c4
156a685eb0
hex4430b9a4

1144043940 has 96 divisors (see below), whose sum is σ = 3477196800. Its totient is φ = 279369216.

The previous prime is 1144043911. The next prime is 1144043947. The reversal of 1144043940 is 493404411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1144043898 and 1144043907.

It is not an unprimeable number, because it can be changed into a prime (1144043947) 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, 93286 + ... + 104834.

It is an arithmetic number, because the mean of its divisors is an integer number (36220800).

Almost surely, 21144043940 is an apocalyptic number.

1144043940 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 1144043940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738598400).

1144043940 is an abundant number, since it is smaller than the sum of its proper divisors (2333152860).

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

1144043940 is a wasteful number, since it uses less digits than its factorization.

1144043940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11701 (or 11699 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1144043940 is about 33823.7186010054. The cubic root of 1144043940 is about 1045.8776964122.

The spelling of 1144043940 in words is "one billion, one hundred forty-four million, forty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 127 130 156 195 254 260 381 390 508 635 762 780 1270 1524 1651 1905 2540 3302 3810 4953 6604 7620 8255 9906 11549 16510 19812 23098 24765 33020 34647 46196 49530 57745 69294 99060 115490 138588 150137 173235 230980 300274 346470 450411 600548 692940 750685 900822 1466723 1501370 1801644 2252055 2933446 3002740 4400169 4504110 5866892 7333615 8800338 9008220 14667230 17600676 19067399 22000845 29334460 38134798 44001690 57202197 76269596 88003380 95336995 114404394 190673990 228808788 286010985 381347980 572021970 1144043940