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4541121144 = 233471952691
BaseRepresentation
bin1000011101010110…
…00000001001111000
3102201110220212010000
410032223000021320
533300011334034
62030335553000
7220350615150
oct41653001170
912643825100
104541121144
111a2038758a
12a6898b760
13574a73741
14311171760
151b8a12599
hex10eac0278

4541121144 has 160 divisors (see below), whose sum is σ = 15301756800. Its totient is φ = 1229152320.

The previous prime is 4541121139. The next prime is 4541121161. The reversal of 4541121144 is 4411211454.

It is a happy number.

4541121144 is a `hidden beast` number, since 4 + 541 + 1 + 2 + 114 + 4 = 666.

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

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, 59839 + ... + 112529.

It is an arithmetic number, because the mean of its divisors is an integer number (95635980).

Almost surely, 24541121144 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 4541121144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7650878400).

4541121144 is an abundant number, since it is smaller than the sum of its proper divisors (10760635656).

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

4541121144 is a wasteful number, since it uses less digits than its factorization.

4541121144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52735 (or 52722 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 4541121144 is about 67387.8412178339. The cubic root of 4541121144 is about 1655.9772366121.

Adding to 4541121144 its reverse (4411211454), we get a palindrome (8952332598).

The spelling of 4541121144 in words is "four billion, five hundred forty-one million, one hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 81 84 108 114 126 133 152 162 168 171 189 216 228 252 266 324 342 378 399 456 504 513 532 567 648 684 756 798 1026 1064 1134 1197 1368 1512 1539 1596 2052 2268 2394 3078 3192 3591 4104 4536 4788 6156 7182 9576 10773 12312 14364 21546 28728 43092 52691 86184 105382 158073 210764 316146 368837 421528 474219 632292 737674 948438 1001129 1106511 1264584 1422657 1475348 1896876 2002258 2213022 2845314 2950696 3003387 3319533 3793752 4004516 4267971 4426044 5690628 6006774 6639066 7007903 8009032 8535942 8852088 9010161 9958599 11381256 12013548 13278132 14015806 17071884 18020322 19917198 21023709 24027096 26556264 27030483 28031612 29875797 34143768 36040644 39834396 42047418 54060966 56063224 59751594 63071127 72081288 79668792 81091449 84094836 108121932 119503188 126142254 162182898 168189672 189213381 216243864 239006376 252284508 324365796 378426762 504569016 567640143 648731592 756853524 1135280286 1513707048 2270560572 4541121144