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21034002444 = 22372135946639
BaseRepresentation
bin10011100101101110…
…010110100000001100
32000021220012000221120
4103211232112200030
5321034201034234
613355103400540
71343146033200
oct234556264014
960256160846
1021034002444
118a141673a4
1240b02b3150
131ca298b7c0
141037764b00
15831917049
hex4e5b9680c

21034002444 has 144 divisors (see below), whose sum is σ = 62527449600. Its totient is φ = 5453288064.

The previous prime is 21034002439. The next prime is 21034002559. The reversal of 21034002444 is 44420043012.

It is a happy number.

It is a super-3 number, since 3×210340024443 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 427677 + ... + 474315.

It is an arithmetic number, because the mean of its divisors is an integer number (434218400).

Almost surely, 221034002444 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 21034002444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31263724800).

21034002444 is an abundant number, since it is smaller than the sum of its proper divisors (41493447156).

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

21034002444 is a wasteful number, since it uses less digits than its factorization.

21034002444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46732 (or 46723 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 21034002444 its reverse (44420043012), we get a palindrome (65454045456).

The spelling of 21034002444 in words is "twenty-one billion, thirty-four million, two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 59 78 84 91 98 118 147 156 177 182 196 236 273 294 354 364 413 546 588 637 708 767 826 1092 1239 1274 1534 1652 1911 2301 2478 2548 2891 3068 3822 4602 4956 5369 5782 7644 8673 9204 10738 11564 16107 17346 21476 32214 34692 37583 46639 64428 75166 93278 112749 139917 150332 186556 225498 279834 326473 450996 559668 606307 652946 979419 1212614 1305892 1818921 1958838 2285311 2425228 2751701 3637842 3917676 4244149 4570622 5503402 6855933 7275684 8255103 8488298 9141244 11006804 12732447 13711866 16510206 16976596 19261907 25464894 27423732 29709043 33020412 35772113 38523814 50929788 57785721 59418086 71544226 77047628 89127129 107316339 115571442 118836172 134833349 143088452 178254258 214632678 231142884 250404791 269666698 356508516 404500047 429265356 500809582 539333396 751214373 809000094 1001619164 1502428746 1618000188 1752833537 3004857492 3505667074 5258500611 7011334148 10517001222 21034002444