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21445344120 = 23358310192113
BaseRepresentation
bin10011111110001111…
…011111101101111000
32001100120012100122110
4103332033133231320
5322410002002440
613504000052320
71356302263104
oct237617375570
961316170573
1021445344120
1191053794a2
1241a60040a0
132039c71545
14107623c904
15857abb080
hex4fe3dfb78

21445344120 has 128 divisors (see below), whose sum is σ = 65205907200. Its totient is φ = 5641641984.

The previous prime is 21445344097. The next prime is 21445344133. The reversal of 21445344120 is 2144354412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10148184 + ... + 10150296.

It is an arithmetic number, because the mean of its divisors is an integer number (509421150).

Almost surely, 221445344120 is an apocalyptic number.

21445344120 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 21445344120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32602953600).

21445344120 is an abundant number, since it is smaller than the sum of its proper divisors (43760563080).

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

21445344120 is a wasteful number, since it uses less digits than its factorization.

21445344120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3229 (or 3225 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 21445344120 its reverse (2144354412), we get a palindrome (23589698532).

The spelling of 21445344120 in words is "twenty-one billion, four hundred forty-five million, three hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1019 1245 1660 1992 2038 2113 2490 3057 3320 4076 4226 4980 5095 6114 6339 8152 8452 9960 10190 10565 12228 12678 15285 16904 20380 21130 24456 25356 30570 31695 40760 42260 50712 61140 63390 84520 84577 122280 126780 169154 175379 253560 253731 338308 350758 422885 507462 526137 676616 701516 845770 876895 1014924 1052274 1268655 1403032 1691540 1753790 2029848 2104548 2153147 2537310 2630685 3383080 3507580 4209096 4306294 5074620 5261370 6459441 7015160 8612588 10149240 10522740 10765735 12918882 17225176 21045480 21531470 25837764 32297205 43062940 51675528 64594410 86125880 129188820 178711201 258377640 357422402 536133603 714844804 893556005 1072267206 1429689608 1787112010 2144534412 2680668015 3574224020 4289068824 5361336030 7148448040 10722672060 21445344120