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21454421400 = 233552441449
BaseRepresentation
bin10011111110110010…
…000111110110011000
32001101012021112100000
4103332302013312120
5322414312441100
613504522413000
71356442400346
oct237662076630
961335245300
1021454421400
11910a509385
1241a9061160
13203bacc109
141077522996
158587b0900
hex4fec87d98

21454421400 has 144 divisors (see below), whose sum is σ = 74719827000. Its totient is φ = 5721166080.

The previous prime is 21454421393. The next prime is 21454421407. The reversal of 21454421400 is 412445412.

21454421400 is a `hidden beast` number, since 214 + 5 + 4 + 42 + 1 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (21454421393) and next prime (21454421407).

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 (21454421407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 172125 + ... + 269324.

Almost surely, 221454421400 is an apocalyptic number.

21454421400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21454421400 is an abundant number, since it is smaller than the sum of its proper divisors (53265405600).

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

21454421400 is a wasteful number, since it uses less digits than its factorization.

21454421400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441480 (or 441459 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 21454421400 its reverse (412445412), we get a palindrome (21866866812).

The spelling of 21454421400 in words is "twenty-one billion, four hundred fifty-four million, four hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 243 270 300 324 360 405 450 486 540 600 648 675 810 900 972 1080 1215 1350 1620 1800 1944 2025 2430 2700 3240 4050 4860 5400 6075 8100 9720 12150 16200 24300 48600 441449 882898 1324347 1765796 2207245 2648694 3531592 3973041 4414490 5297388 6621735 7946082 8828980 10594776 11036225 11919123 13243470 15892164 17657960 19865205 22072450 23838246 26486940 31784328 33108675 35757369 39730410 44144900 47676492 52973880 59595615 66217350 71514738 79460820 88289800 95352984 99326025 107272107 119191230 132434700 143029476 158921640 178786845 198652050 214544214 238382460 264869400 286058952 297978075 357573690 397304100 429088428 476764920 536360535 595956150 715147380 794608200 858176856 893934225 1072721070 1191912300 1430294760 1787868450 2145442140 2383824600 2681802675 3575736900 4290884280 5363605350 7151473800 10727210700 21454421400