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130400410014 = 23271278149007
BaseRepresentation
bin111100101110001111…
…0000101100110011110
3110110120211101011220100
41321130132011212132
54114030001110024
6135523301201530
712264305124330
oct1713436054636
9413524334810
10130400410014
11503366a50a6
1221332a002a6
13c3b1b2a934
146450739450
1535d30a87c9
hex1e5c78599e

130400410014 has 48 divisors (see below), whose sum is σ = 325438783488. Its totient is φ = 36963891216.

The previous prime is 130400409961. The next prime is 130400410037. The reversal of 130400410014 is 410014004031.

It is a super-2 number, since 2×1304004100142 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4058502 + ... + 4090505.

It is an arithmetic number, because the mean of its divisors is an integer number (6779974656).

Almost surely, 2130400410014 is an apocalyptic number.

130400410014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

130400410014 is an abundant number, since it is smaller than the sum of its proper divisors (195038373474).

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

130400410014 is a wasteful number, since it uses less digits than its factorization.

130400410014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8149149 (or 8149146 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 130400410014 its reverse (410014004031), we get a palindrome (540414414045).

The spelling of 130400410014 in words is "one hundred thirty billion, four hundred million, four hundred ten thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 127 254 381 762 889 1143 1778 2286 2667 5334 8001 16002 8149007 16298014 24447021 48894042 57043049 73341063 114086098 146682126 171129147 342258294 513387441 1026774882 1034923889 2069847778 3104771667 6209543334 7244467223 9314315001 14488934446 18628630002 21733401669 43466803338 65200205007 130400410014