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1414013142120 = 2335101116667751
BaseRepresentation
bin10100100100111001110…
…000000100010001101000
312000011211000012011122120
4110210321300010101220
5141131344331021440
63001331052551240
7204105364252545
oct24447160042150
95004730164576
101414013142120
114a5752612387
121aa066182520
13a3457b67847
144c61d743bcc
1526bad4dbdd0
hex14939c04468

1414013142120 has 64 divisors (see below), whose sum is σ = 4284039853440. Its totient is φ = 373336800000.

The previous prime is 1414013142119. The next prime is 1414013142149. The reversal of 1414013142120 is 212413104141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 58321756 + ... + 58345995.

It is an arithmetic number, because the mean of its divisors is an integer number (66938122710).

Almost surely, 21414013142120 is an apocalyptic number.

1414013142120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1414013142120 is an abundant number, since it is smaller than the sum of its proper divisors (2870026711320).

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

1414013142120 is a wasteful number, since it uses less digits than its factorization.

1414013142120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116667866 (or 116667862 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1414013142120 its reverse (212413104141), we get a palindrome (1626426246261).

The spelling of 1414013142120 in words is "one trillion, four hundred fourteen billion, thirteen million, one hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 505 606 808 1010 1212 1515 2020 2424 3030 4040 6060 12120 116667751 233335502 350003253 466671004 583338755 700006506 933342008 1166677510 1400013012 1750016265 2333355020 2800026024 3500032530 4666710040 7000065060 11783442851 14000130120 23566885702 35350328553 47133771404 58917214255 70700657106 94267542808 117834428510 141401314212 176751642765 235668857020 282802628424 353503285530 471337714040 707006571060 1414013142120