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21404404020 = 223519151124343
BaseRepresentation
bin10011111011110011…
…010100100100110100
32001020201011101101110
4103323303110210310
5322314011412040
613455534355020
71355264301156
oct237363244464
961221141343
1021404404020
1190942565aa
12419435ba70
132031638b2c
141070a22ad6
158541d0980
hex4fbcd4934

21404404020 has 96 divisors (see below), whose sum is σ = 63504967680. Its totient is φ = 5371574400.

The previous prime is 21404403983. The next prime is 21404404033. The reversal of 21404404020 is 2040440412.

It is a super-2 number, since 2×214044040202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109969 + ... + 234311.

It is an arithmetic number, because the mean of its divisors is an integer number (661510080).

Almost surely, 221404404020 is an apocalyptic number.

21404404020 is a gapful number since it is divisible by the number (20) 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 21404404020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31752483840).

21404404020 is an abundant number, since it is smaller than the sum of its proper divisors (42100563660).

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

21404404020 is a wasteful number, since it uses less digits than its factorization.

21404404020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124525 (or 124523 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 21404404020 its reverse (2040440412), we get a palindrome (23444844432).

The spelling of 21404404020 in words is "twenty-one billion, four hundred four million, four hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 151 190 228 285 302 380 453 570 604 755 906 1140 1510 1812 2265 2869 3020 4530 5738 8607 9060 11476 14345 17214 28690 34428 43035 57380 86070 124343 172140 248686 373029 497372 621715 746058 1243430 1492116 1865145 2362517 2486860 3730290 4725034 7087551 7460580 9450068 11812585 14175102 18775793 23625170 28350204 35437755 37551586 47250340 56327379 70875510 75103172 93878965 112654758 141751020 187757930 225309516 281636895 356740067 375515860 563273790 713480134 1070220201 1126547580 1426960268 1783700335 2140440402 3567400670 4280880804 5351101005 7134801340 10702202010 21404404020