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1144232244 = 223423233659
BaseRepresentation
bin100010000110011…
…1001100100110100
32221202002000120000
41010030321210310
54320410412434
6305312511300
740232546031
oct10414714464
92852060500
101144232244
11537986691
1227b24b530
131530999cc
14abd74388
156a6c1b99
hex44339934

1144232244 has 120 divisors (see below), whose sum is σ = 3139456320. Its totient is φ = 362710656.

The previous prime is 1144232191. The next prime is 1144232263. The reversal of 1144232244 is 4422324411.

1144232244 is a `hidden beast` number, since 1 + 14 + 423 + 224 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1735987 + ... + 1736645.

It is an arithmetic number, because the mean of its divisors is an integer number (26162136).

Almost surely, 21144232244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144232244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569728160).

1144232244 is an abundant number, since it is smaller than the sum of its proper divisors (1995224076).

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

1144232244 is a wasteful number, since it uses less digits than its factorization.

1144232244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 920 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 1144232244 is about 33826.5020952507. The cubic root of 1144232244 is about 1045.9350753707.

Adding to 1144232244 its reverse (4422324411), we get a palindrome (5566556655).

The spelling of 1144232244 in words is "one billion, one hundred forty-four million, two hundred thirty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 233 276 324 414 466 621 659 699 828 932 1242 1318 1398 1863 1977 2097 2484 2636 2796 3726 3954 4194 5359 5931 6291 7452 7908 8388 10718 11862 12582 15157 16077 17793 18873 21436 23724 25164 30314 32154 35586 37746 45471 48231 53379 60628 64308 71172 75492 90942 96462 106758 136413 144693 153547 181884 192924 213516 272826 289386 307094 409239 434079 460641 545652 578772 614188 818478 868158 921282 1227717 1381923 1636956 1736316 1842564 2455434 2763846 3531581 4145769 4910868 5527692 7063162 8291538 10594743 12437307 14126324 16583076 21189486 24874614 31784229 42378972 49749228 63568458 95352687 127136916 190705374 286058061 381410748 572116122 1144232244