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130502410416 = 2433743155559
BaseRepresentation
bin111100110001010001…
…1001100000010110000
3110110211221022100011000
41321202203030002300
54114232104113131
6135541343322000
712266654120520
oct1714243140260
9413757270130
10130502410416
1150389232554
1221360bb0300
13c3c9cc1ac1
1464600cb680
1535dc005ce6
hex1e628cc0b0

130502410416 has 80 divisors (see below), whose sum is σ = 428103155200. Its totient is φ = 37286402112.

The previous prime is 130502410387. The next prime is 130502410421. The reversal of 130502410416 is 614014205031.

It is a happy number.

130502410416 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 0 + 241 + 0 + 416 = 666.

It is a super-2 number, since 2×1305024104162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 130502410416.

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, 21574756 + ... + 21580803.

It is an arithmetic number, because the mean of its divisors is an integer number (5351289440).

Almost surely, 2130502410416 is an apocalyptic number.

130502410416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

130502410416 is an abundant number, since it is smaller than the sum of its proper divisors (297600744784).

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

130502410416 is a wasteful number, since it uses less digits than its factorization.

130502410416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43155583 (or 43155571 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 130502410416 its reverse (614014205031), we get a palindrome (744516615447).

The spelling of 130502410416 in words is "one hundred thirty billion, five hundred two million, four hundred ten thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 43155559 86311118 129466677 172622236 258933354 302088913 345244472 388400031 517866708 604177826 690488944 776800062 906266739 1035733416 1165200093 1208355652 1553600124 1812533478 2071466832 2330400186 2416711304 2718800217 3107200248 3625066956 4660800372 4833422608 5437600434 6214400496 7250133912 8156400651 9321600744 10875200868 14500267824 16312801302 18643201488 21750401736 32625602604 43500803472 65251205208 130502410416