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21434423004 = 22321764354469
BaseRepresentation
bin10011111101100101…
…110101011011011100
32001022210122111200200
4103331211311123130
5322344203014004
613502530023500
71356110406111
oct237545653334
961283574620
1021434423004
1190aa19a285
1241a2417b90
132037919647
1410749d8908
15856b60239
hex4fd9756dc

21434423004 has 72 divisors (see below), whose sum is σ = 57458877840. Its totient is φ = 6713943552.

The previous prime is 21434422949. The next prime is 21434423041. The reversal of 21434423004 is 40032443412.

It is a happy number.

21434423004 is a `hidden beast` number, since 2 + 14 + 344 + 2 + 300 + 4 = 666.

It is a super-3 number, since 3×214344230043 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 366282 + ... + 420750.

It is an arithmetic number, because the mean of its divisors is an integer number (798039970).

Almost surely, 221434423004 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 21434423004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28729438920).

21434423004 is an abundant number, since it is smaller than the sum of its proper divisors (36024454836).

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

21434423004 is a wasteful number, since it uses less digits than its factorization.

21434423004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55139 (or 55134 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 21434423004 its reverse (40032443412), we get a palindrome (61466866416).

The spelling of 21434423004 in words is "twenty-one billion, four hundred thirty-four million, four hundred twenty-three thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 643 1286 1929 2572 3858 5787 7716 10931 11574 21862 23148 32793 43724 54469 65586 98379 108938 131172 163407 196758 217876 326814 393516 490221 653628 925973 980442 1851946 1960884 2777919 3703892 5555838 8333757 11111676 16667514 33335028 35023567 70047134 105070701 140094268 210141402 315212103 420282804 595400639 630424206 1190801278 1260848412 1786201917 2381602556 3572403834 5358605751 7144807668 10717211502 21434423004