Search a number
-
+
1144422320 = 245173072741
BaseRepresentation
bin100010000110110…
…0111111110110000
32221202102200021212
41010031213332300
54320433003240
6305320535252
740234300136
oct10415477660
92852380255
101144422320
11537aa6478
1227b321528
13153135392
14abdc3756
156a70d165
hex44367fb0

1144422320 has 80 divisors (see below), whose sum is σ = 2827506528. Its totient is φ = 429281280.

The previous prime is 1144422311. The next prime is 1144422379. The reversal of 1144422320 is 232244411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×11444223203 (a number of 28 digits) contains 333 as substring.

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, 416150 + ... + 418890.

Almost surely, 21144422320 is an apocalyptic number.

1144422320 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 1144422320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413753264).

1144422320 is an abundant number, since it is smaller than the sum of its proper divisors (1683084208).

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

1144422320 is a wasteful number, since it uses less digits than its factorization.

1144422320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3078 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 1144422320 is about 33829.3115507839. The cubic root of 1144422320 is about 1045.9929878994.

Adding to 1144422320 its reverse (232244411), we get a palindrome (1376666731).

The spelling of 1144422320 in words is "one billion, one hundred forty-four million, four hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 307 340 614 680 1228 1360 1535 2456 2741 3070 4912 5219 5482 6140 10438 10964 12280 13705 20876 21928 24560 26095 27410 41752 43856 46597 52190 54820 83504 93194 104380 109640 186388 208760 219280 232985 372776 417520 465970 745552 841487 931940 1682974 1863880 3365948 3727760 4207435 6731896 8414870 13463792 14305279 16829740 28610558 33659480 57221116 67318960 71526395 114442232 143052790 228884464 286105580 572211160 1144422320