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1144107340 = 225372396469
BaseRepresentation
bin100010000110001…
…1011000101001100
32221201211200012221
41010030123011030
54320342413330
6305310105124
740231515625
oct10414330514
92851750187
101144107340
11537900862
1227b1ab1a4
13153054bbc
14abd40a4c
156a699b7a
hex4431b14c

1144107340 has 48 divisors (see below), whose sum is σ = 2478268800. Its totient is φ = 443342592.

The previous prime is 1144107329. The next prime is 1144107379. The reversal of 1144107340 is 437014411.

It is a happy 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, 173626 + ... + 180094.

It is an arithmetic number, because the mean of its divisors is an integer number (51630600).

Almost surely, 21144107340 is an apocalyptic number.

1144107340 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 1144107340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239134400).

1144107340 is an abundant number, since it is smaller than the sum of its proper divisors (1334161460).

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

1144107340 is a wasteful number, since it uses less digits than its factorization.

1144107340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6754 (or 6752 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 1144107340 is about 33824.6558001704. The cubic root of 1144107340 is about 1045.8970160143.

The spelling of 1144107340 in words is "one billion, one hundred forty-four million, one hundred seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 239 370 478 740 956 1195 2390 4780 6469 8843 12938 17686 25876 32345 35372 44215 64690 88430 129380 176860 239353 478706 957412 1196765 1546091 2393530 3092182 4787060 6184364 7730455 15460910 30921820 57205367 114410734 228821468 286026835 572053670 1144107340