Search a number
-
+
14906103296 = 2975397809
BaseRepresentation
bin11011110000111100…
…10001011000000000
31102110211110111121212
431320132101120000
5221011430301141
610503041305252
71035246534050
oct157036213000
942424414555
1014906103296
11635a11a037
122a80035228
131537261586
14a15981560
155c39682eb
hex378791600

14906103296 has 160 divisors (see below), whose sum is σ = 35080879680. Its totient is φ = 6195511296.

The previous prime is 14906103293. The next prime is 14906103301. The reversal of 14906103296 is 69230160941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14906103293) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18424940 + ... + 18425748.

It is an arithmetic number, because the mean of its divisors is an integer number (219255498).

Almost surely, 214906103296 is an apocalyptic number.

14906103296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14906103296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17540439840).

14906103296 is an abundant number, since it is smaller than the sum of its proper divisors (20174776384).

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

14906103296 is an frugal number, since it uses more digits than its factorization.

14906103296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The spelling of 14906103296 in words is "fourteen billion, nine hundred six million, one hundred three thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 97 106 112 128 194 212 224 256 371 388 424 448 512 679 742 776 809 848 896 1358 1484 1552 1618 1696 1792 2716 2968 3104 3236 3392 3584 5141 5432 5663 5936 6208 6472 6784 10282 10864 11326 11872 12416 12944 13568 20564 21728 22652 23744 24832 25888 27136 35987 41128 42877 43456 45304 47488 49664 51776 71974 78473 82256 85754 86912 90608 94976 103552 143948 156946 164512 171508 173824 181216 189952 207104 287896 300139 313892 329024 343016 347648 362432 414208 549311 575792 600278 627784 658048 686032 724864 1098622 1151584 1200556 1255568 1316096 1372064 1449728 2197244 2303168 2401112 2511136 2632192 2744128 2899456 4159069 4394488 4606336 4802224 5022272 5488256 8318138 8788976 9212672 9604448 10044544 10976512 16636276 17577952 18425344 19208896 20089088 21953024 29113483 33272552 35155904 38417792 40178176 58226966 66545104 70311808 76835584 116453932 133090208 140623616 153671168 232907864 266180416 281247232 465815728 532360832 931631456 1064721664 1863262912 2129443328 3726525824 7453051648 14906103296