Search a number
-
+
15043405024 = 252371479601
BaseRepresentation
bin11100000001010100…
…00010010011100000
31102211101211011012001
432000222002103200
5221302102430044
610524424213344
71041534555454
oct160052022340
942741734161
1015043405024
11641a67893a
122aba00a254
1315598356bb
14a29cc2664
155d0a3a2d4
hex380a824e0

15043405024 has 96 divisors (see below), whose sum is σ = 31457341440. Its totient is φ = 7066752000.

The previous prime is 15043405019. The next prime is 15043405031. The reversal of 15043405024 is 42050434051.

It is a super-2 number, since 2×150434050242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 15043404983 and 15043405001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25030324 + ... + 25030924.

It is an arithmetic number, because the mean of its divisors is an integer number (327680640).

Almost surely, 215043405024 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 15043405024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15728670720).

15043405024 is an abundant number, since it is smaller than the sum of its proper divisors (16413936416).

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

15043405024 is a wasteful number, since it uses less digits than its factorization.

15043405024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 15043405024 its reverse (42050434051), we get a palindrome (57093839075).

The spelling of 15043405024 in words is "fifteen billion, forty-three million, four hundred five thousand, twenty-four".

Divisors: 1 2 4 8 16 23 32 46 71 92 142 184 284 368 479 568 601 736 958 1136 1202 1633 1916 2272 2404 3266 3832 4808 6532 7664 9616 11017 13064 13823 15328 19232 22034 26128 27646 34009 42671 44068 52256 55292 68018 85342 88136 110584 136036 170684 176272 221168 272072 287879 341368 352544 442336 544144 575758 682736 782207 981433 1088288 1151516 1365472 1564414 1962866 2303032 3128828 3925732 4606064 6257656 6621217 7851464 9212128 12515312 13242434 15702928 20439409 25030624 26484868 31405856 40878818 52969736 81757636 105939472 163515272 211878944 327030544 470106407 654061088 940212814 1880425628 3760851256 7521702512 15043405024