Search a number
-
+
44000000064 = 2633178714249
BaseRepresentation
bin101000111110100110…
…101011100001000000
311012120102202121001000
4220332212223201000
51210103000000224
632114024412000
73115234554366
oct507646534100
9135512677030
1044000000064
1117729942319
12863b617000
1341c29a3cc7
1421b5921636
151227c5c0c9
hexa3e9ab840

44000000064 has 112 divisors (see below), whose sum is σ = 129433320000. Its totient is φ = 14657430528.

The previous prime is 44000000059. The next prime is 44000000111. The reversal of 44000000064 is 46000000044.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 43999999983 and 44000000046.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3080812 + ... + 3095060.

Almost surely, 244000000064 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 44000000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64716660000).

44000000064 is an abundant number, since it is smaller than the sum of its proper divisors (85433319936).

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

44000000064 is a wasteful number, since it uses less digits than its factorization.

44000000064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16057 (or 16041 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The spelling of 44000000064 in words is "forty-four billion, sixty-four", and thus it is an aban number and an eban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 1787 3574 5361 7148 10722 14249 14296 16083 21444 28498 28592 32166 42747 42888 48249 56996 57184 64332 85494 85776 96498 113992 114368 128241 128664 170988 171552 192996 227984 256482 257328 341976 343104 384723 385992 455968 512964 514656 683952 769446 771984 911936 1025928 1029312 1367904 1538892 1543968 2051856 2735808 3077784 3087936 4103712 6155568 8207424 12311136 24622272 25462963 50925926 76388889 101851852 152777778 203703704 229166667 305555556 407407408 458333334 611111112 687500001 814814816 916666668 1222222224 1375000002 1629629632 1833333336 2444444448 2750000004 3666666672 4888888896 5500000008 7333333344 11000000016 14666666688 22000000032 44000000064