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1412441431420 = 2253118121159651
BaseRepresentation
bin10100100011011100000…
…100011101110101111100
312000000202110201222220011
4110203130010131311330
5141120140001301140
63000511105433004
7204021421034605
oct24433404356574
95000673658804
101412441431420
114a5016402918
121a98a793b764
13a3267358206
144c510ad4dac
1526b1a529cea
hex148dc11dd7c

1412441431420 has 96 divisors (see below), whose sum is σ = 3093367560192. Its totient is φ = 541144800000.

The previous prime is 1412441431409. The next prime is 1412441431447. The reversal of 1412441431420 is 241341442141.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23648595 + ... + 23708245.

It is an arithmetic number, because the mean of its divisors is an integer number (32222578752).

Almost surely, 21412441431420 is an apocalyptic number.

1412441431420 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 1412441431420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546683780096).

1412441431420 is an abundant number, since it is smaller than the sum of its proper divisors (1680926128772).

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

1412441431420 is a wasteful number, since it uses less digits than its factorization.

1412441431420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60083 (or 60081 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 1412441431420 its reverse (241341442141), we get a palindrome (1653782873561).

The spelling of 1412441431420 in words is "one trillion, four hundred twelve billion, four hundred forty-one million, four hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 181 211 310 362 422 620 724 844 905 1055 1810 2110 3620 4220 5611 6541 11222 13082 22444 26164 28055 32705 38191 56110 59651 65410 76382 112220 119302 130820 152764 190955 238604 298255 381910 596510 763820 1183921 1193020 1849181 2367842 3698362 4735684 5919605 7396724 9245905 10796831 11839210 12586361 18491810 21593662 23678420 25172722 36983620 43187324 50345444 53984155 62931805 107968310 125863610 215936620 251727220 334701761 390177191 669403522 780354382 1338807044 1560708764 1673508805 1950885955 2278131341 3347017610 3901771910 4556262682 6694035220 7803543820 9112525364 11390656705 22781313410 45562626820 70622071571 141244143142 282488286284 353110357855 706220715710 1412441431420