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5414211072 = 293543517
BaseRepresentation
bin1010000101011011…
…00100111000000000
3111222022210102100000
411002231210320000
542042014223242
62253125200000
7251112014634
oct50255447000
914868712300
105414211072
1123291a9a06
121071260000
136839076ba
143950c4dc4
1521a4c5a4c
hex142b64e00

5414211072 has 120 divisors (see below), whose sum is σ = 16204884696. Its totient is φ = 1804695552.

The previous prime is 5414211059. The next prime is 5414211079. The reversal of 5414211072 is 2701124145.

5414211072 is a `hidden beast` number, since 541 + 4 + 2 + 110 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5414211079) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102658 + ... + 146174.

Almost surely, 25414211072 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 5414211072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8102442348).

5414211072 is an abundant number, since it is smaller than the sum of its proper divisors (10790673624).

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

5414211072 is an frugal number, since it uses more digits than its factorization.

5414211072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43550 (or 43522 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 5414211072 is about 73581.3228475814. The cubic root of 5414211072 is about 1755.9483106327.

The spelling of 5414211072 in words is "five billion, four hundred fourteen million, two hundred eleven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1152 1296 1536 1728 1944 2304 2592 3456 3888 4608 5184 6912 7776 10368 13824 15552 20736 31104 41472 43517 62208 87034 124416 130551 174068 261102 348136 391653 522204 696272 783306 1044408 1174959 1392544 1566612 2088816 2349918 2785088 3133224 3524877 4177632 4699836 5570176 6266448 7049754 8355264 9399672 10574631 11140352 12532896 14099508 16710528 18799344 21149262 22280704 25065792 28199016 33421056 37598688 42298524 50131584 56398032 66842112 75197376 84597048 100263168 112796064 150394752 169194096 200526336 225592128 300789504 338388192 451184256 601579008 676776384 902368512 1353552768 1804737024 2707105536 5414211072