Search a number
-
+
16308142080 = 2153533179
BaseRepresentation
bin11110011000000101…
…01000000000000000
31120002112122110021020
433030002220000000
5231344341021310
611254124025440
71115062630506
oct171402500000
946075573236
1016308142080
116a0958057a
1231b1692280
1316cb875019
14b09c64676
15656ab2170
hex3cc0a8000

16308142080 has 128 divisors (see below), whose sum is σ = 52186831200. Its totient is φ = 4348706816.

The previous prime is 16308142063. The next prime is 16308142087. The reversal of 16308142080 is 8024180361.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (16308142087) 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, 474931 + ... + 508109.

Almost surely, 216308142080 is an apocalyptic number.

16308142080 is a gapful number since it is divisible by the number (10) 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 16308142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26093415600).

16308142080 is an abundant number, since it is smaller than the sum of its proper divisors (35878689120).

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

16308142080 is an frugal number, since it uses more digits than its factorization.

16308142080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33217 (or 33189 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 16308142080 in words is "sixteen billion, three hundred eight million, one hundred forty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 8192 10240 12288 15360 16384 20480 24576 30720 32768 33179 40960 49152 61440 66358 81920 98304 99537 122880 132716 163840 165895 199074 245760 265432 331790 398148 491520 497685 530864 663580 796296 995370 1061728 1327160 1592592 1990740 2123456 2654320 3185184 3981480 4246912 5308640 6370368 7962960 8493824 10617280 12740736 15925920 16987648 21234560 25481472 31851840 33975296 42469120 50962944 63703680 67950592 84938240 101925888 127407360 135901184 169876480 203851776 254814720 271802368 339752960 407703552 509629440 543604736 679505920 815407104 1019258880 1087209472 1359011840 1630814208 2038517760 2718023680 3261628416 4077035520 5436047360 8154071040 16308142080