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21132424044 = 223618140039
BaseRepresentation
bin10011101011100101…
…110011001101101100
32000112202101101000000
4103223211303031230
5321234400032134
613412541104300
71345452432504
oct235345631554
960482341000
1021132424044
118a6477aa66
124119258090
131cba19ba34
141046864a04
1583a3a8e99
hex4eb97336c

21132424044 has 84 divisors (see below), whose sum is σ = 55754979280. Its totient is φ = 7005048480.

The previous prime is 21132424043. The next prime is 21132424097. The reversal of 21132424044 is 44042423112.

21132424044 is a `hidden beast` number, since 2 + 1 + 13 + 242 + 404 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21132423999 and 21132424017.

It is not an unprimeable number, because it can be changed into a prime (21132424043) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 507777 + ... + 547815.

Almost surely, 221132424044 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 21132424044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27877489640).

21132424044 is an abundant number, since it is smaller than the sum of its proper divisors (34622555236).

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

21132424044 is a wasteful number, since it uses less digits than its factorization.

21132424044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40242 (or 40225 counting only the distinct ones).

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

Adding to 21132424044 its reverse (44042423112), we get a palindrome (65174847156).

The spelling of 21132424044 in words is "twenty-one billion, one hundred thirty-two million, four hundred twenty-four thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 181 243 324 362 486 543 724 729 972 1086 1458 1629 2172 2916 3258 4887 6516 9774 14661 19548 29322 40039 43983 58644 80078 87966 120117 131949 160156 175932 240234 263898 360351 480468 527796 720702 1081053 1441404 2162106 3243159 4324212 6486318 7247059 9729477 12972636 14494118 19458954 21741177 28988236 29188431 38917908 43482354 58376862 65223531 86964708 116753724 130447062 195670593 260894124 391341186 587011779 782682372 1174023558 1761035337 2348047116 3522070674 5283106011 7044141348 10566212022 21132424044