Search a number
-
+
320120946688 = 2174171839
BaseRepresentation
bin1001010100010001011…
…00100000000000000000
31010121021210001000122211
410222020230200000000
520221101430243223
6403021142511504
732061616102444
oct4521054400000
91117253030584
10320120946688
11113842a24364
125205ba35594
13242585a231a
14116cb50c824
1584d8d6ad0d
hex4a88b20000

320120946688 has 144 divisors (see below), whose sum is σ = 665885162880. Its totient is φ = 153773670400.

The previous prime is 320120946661. The next prime is 320120946689. The reversal of 320120946688 is 886649021023.

It is not an unprimeable number, because it can be changed into a prime (320120946689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 381550173 + ... + 381551011.

It is an arithmetic number, because the mean of its divisors is an integer number (4624202520).

Almost surely, 2320120946688 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 320120946688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332942581440).

320120946688 is an abundant number, since it is smaller than the sum of its proper divisors (345764216192).

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

320120946688 is an frugal number, since it uses more digits than its factorization.

320120946688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

The spelling of 320120946688 in words is "three hundred twenty billion, one hundred twenty million, nine hundred forty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 32 41 64 71 82 128 142 164 256 284 328 512 568 656 839 1024 1136 1312 1678 2048 2272 2624 2911 3356 4096 4544 5248 5822 6712 8192 9088 10496 11644 13424 16384 18176 20992 23288 26848 32768 34399 36352 41984 46576 53696 59569 65536 68798 72704 83968 93152 107392 119138 131072 137596 145408 167936 186304 214784 238276 275192 290816 335872 372608 429568 476552 550384 581632 671744 745216 859136 953104 1100768 1163264 1343488 1490432 1718272 1906208 2201536 2326528 2442329 2686976 2980864 3436544 3812416 4403072 4653056 4884658 5373952 5961728 6873088 7624832 8806144 9306112 9769316 11923456 13746176 15249664 17612288 19538632 23846912 27492352 30499328 35224576 39077264 47693824 54984704 60998656 70449152 78154528 95387648 109969408 121997312 140898304 156309056 190775296 243994624 281796608 312618112 381550592 487989248 563593216 625236224 975978496 1127186432 1250472448 1951956992 2254372864 2500944896 3903913984 4508745728 5001889792 7807827968 10003779584 20007559168 40015118336 80030236672 160060473344 320120946688