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21404432112 = 2437316730671
BaseRepresentation
bin10011111011110011…
…011011011011110000
32001020201012210220220
4103323303123123300
5322314013311422
613455535133040
71355264446110
oct237363333360
961221183826
1021404432112
119094275718
124194374180
13203164885b
141070a2d040
158541d8e5c
hex4fbcdb6f0

21404432112 has 160 divisors (see below), whose sum is σ = 66208333824. Its totient is φ = 5829753600.

The previous prime is 21404432059. The next prime is 21404432117. The reversal of 21404432112 is 21123440412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21404432117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 682537 + ... + 713207.

Almost surely, 221404432112 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 21404432112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33104166912).

21404432112 is an abundant number, since it is smaller than the sum of its proper divisors (44803901712).

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

21404432112 is a wasteful number, since it uses less digits than its factorization.

21404432112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30787 (or 30781 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 21404432112 its reverse (21123440412), we get a palindrome (42527872524).

The spelling of 21404432112 in words is "twenty-one billion, four hundred four million, four hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 67 84 93 112 124 134 168 186 201 217 248 268 336 372 402 434 469 496 536 651 744 804 868 938 1072 1302 1407 1488 1608 1736 1876 2077 2604 2814 3216 3472 3752 4154 5208 5628 6231 7504 8308 10416 11256 12462 14539 16616 22512 24924 29078 30671 33232 43617 49848 58156 61342 87234 92013 99696 116312 122684 174468 184026 214697 232624 245368 348936 368052 429394 490736 644091 697872 736104 858788 950801 1288182 1472208 1717576 1901602 2054957 2576364 2852403 3435152 3803204 4109914 5152728 5704806 6164871 6655607 7606408 8219828 10305456 11409612 12329742 13311214 14384699 15212816 16439656 19966821 22819224 24659484 26622428 28769398 32879312 39933642 43154097 45638448 49318968 53244856 57538796 63703667 79867284 86308194 98637936 106489712 115077592 127407334 159734568 172616388 191111001 230155184 254814668 319469136 345232776 382222002 445925669 509629336 690465552 764444004 891851338 1019258672 1337777007 1528888008 1783702676 2675554014 3057776016 3567405352 5351108028 7134810704 10702216056 21404432112