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21434030032 = 2417674992357
BaseRepresentation
bin10011111101100100…
…010101011111010000
32001022202220112122011
4103331210111133100
5322344102430112
613502513352304
71356104151322
oct237544253720
961282815564
1021434030032
1190a9a51008
1241a2268694
13203780c80c
141074935612
15856ad3aa7
hex4fd9157d0

21434030032 has 80 divisors (see below), whose sum is σ = 44735976000. Its totient is φ = 9911937024.

The previous prime is 21434030011. The next prime is 21434030053. The reversal of 21434030032 is 23003043412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21434030011) and next prime (21434030053).

It is a junction number, because it is equal to n+sod(n) for n = 21434029985 and 21434030012.

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 15 ways as a sum of consecutive naturals, for example, 9092598 + ... + 9094954.

It is an arithmetic number, because the mean of its divisors is an integer number (559199700).

Almost surely, 221434030032 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 21434030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22367988000).

21434030032 is an abundant number, since it is smaller than the sum of its proper divisors (23301945968).

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

21434030032 is a wasteful number, since it uses less digits than its factorization.

21434030032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948 (or 2942 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 21434030032 its reverse (23003043412), we get a palindrome (44437073444).

The spelling of 21434030032 in words is "twenty-one billion, four hundred thirty-four million, thirty thousand, thirty-two".

Divisors: 1 2 4 8 16 17 34 67 68 134 136 268 272 499 536 998 1072 1139 1996 2278 2357 3992 4556 4714 7984 8483 9112 9428 16966 18224 18856 33433 33932 37712 40069 66866 67864 80138 133732 135728 157919 160276 267464 315838 320552 534928 568361 631676 641104 1136722 1176143 1263352 2273444 2352286 2526704 2684623 4546888 4704572 5369246 9093776 9409144 10738492 18818288 19994431 21476984 39988862 42953968 78801581 79977724 157603162 159955448 315206324 319910896 630412648 1260825296 1339626877 2679253754 5358507508 10717015016 21434030032