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1144523424 = 253112347123
BaseRepresentation
bin100010000111000…
…0000101010100000
32221202121210222110
41010032000222200
54320444222144
6305323035320
740235200662
oct10416005240
92852553873
101144523424
11538065430
1227b36bb40
1315316c3c5
14ac00c532
156a72d0b9
hex44380aa0

1144523424 has 96 divisors (see below), whose sum is σ = 3420071424. Its totient is φ = 331738880.

The previous prime is 1144523411. The next prime is 1144523459. The reversal of 1144523424 is 4243254411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1144523391 and 1144523400.

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, 727 + ... + 47849.

It is an arithmetic number, because the mean of its divisors is an integer number (35625744).

Almost surely, 21144523424 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 1144523424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710035712).

1144523424 is an abundant number, since it is smaller than the sum of its proper divisors (2275548000).

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

1144523424 is a wasteful number, since it uses less digits than its factorization.

1144523424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47170 (or 47162 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 1144523424 is about 33830.8058431956. The cubic root of 1144523424 is about 1046.0237897456.

Adding to 1144523424 its reverse (4243254411), we get a palindrome (5387777835).

The spelling of 1144523424 in words is "one billion, one hundred forty-four million, five hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 132 138 176 184 253 264 276 352 368 506 528 552 736 759 1012 1056 1104 1518 2024 2208 3036 4048 6072 8096 12144 24288 47123 94246 141369 188492 282738 376984 518353 565476 753968 1036706 1083829 1130952 1507936 1555059 2073412 2167658 2261904 3110118 3251487 4146824 4335316 4523808 6220236 6502974 8293648 8670632 11922119 12440472 13005948 16587296 17341264 23844238 24880944 26011896 34682528 35766357 47688476 49761888 52023792 71532714 95376952 104047584 143065428 190753904 286130856 381507808 572261712 1144523424