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1414979961760 = 25510453846037
BaseRepresentation
bin10100100101110011011…
…000001100001110100000
312000021022101102200212101
4110211303120030032200
5141140334332234020
63002011031140144
7204141344140651
oct24456330141640
95007271380771
101414979961760
114a60a9333282
121aa295b14654
13a3580258281
144c6b1cd5528
1526c1831700a
hex1497360c3a0

1414979961760 has 48 divisors (see below), whose sum is σ = 3343213913256. Its totient is φ = 565937169408.

The previous prime is 1414979961719. The next prime is 1414979961763. The reversal of 1414979961760 is 671699794141.

It can be written as a sum of positive squares in 4 ways, for example, as 1383342936336 + 31637025424 = 1176156^2 + 177868^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1414979961692 and 1414979961701.

It is not an unprimeable number, because it can be changed into a prime (1414979961763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1249462 + ... + 2095498.

Almost surely, 21414979961760 is an apocalyptic number.

1414979961760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1414979961760 is an abundant number, since it is smaller than the sum of its proper divisors (1928233951496).

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

1414979961760 is a wasteful number, since it uses less digits than its factorization.

1414979961760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856505 (or 856497 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 64.

The spelling of 1414979961760 in words is "one trillion, four hundred fourteen billion, nine hundred seventy-nine million, nine hundred sixty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 10453 20906 41812 52265 83624 104530 167248 209060 334496 418120 836240 846037 1672480 1692074 3384148 4230185 6768296 8460370 13536592 16920740 27073184 33841480 67682960 135365920 8843624761 17687249522 35374499044 44218123805 70748998088 88436247610 141497996176 176872495220 282995992352 353744990440 707489980880 1414979961760