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1421935160040 = 2332526091513921
BaseRepresentation
bin10100101100010001111…
…100001010101011101000
312000221021002212101020200
4110230101330022223220
5141244110400110130
63005121125152200
7204505610302653
oct24542174125350
95027232771220
101421935160040
114a904836772a
121ab6b725b660
13a411b1a5c05
144cb7190c89a
1526ec3c31760
hex14b11f0aae8

1421935160040 has 96 divisors (see below), whose sum is σ = 4623063611400. Its totient is φ = 379037122560.

The previous prime is 1421935160029. The next prime is 1421935160059. The reversal of 1421935160040 is 400615391241.

It is a happy number.

1421935160040 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 9 + 3 + 5 + 1 + 600 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 646348465764 + 775586694276 = 803958^2 + 880674^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1421935159977 and 1421935160004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182280 + ... + 1696200.

Almost surely, 21421935160040 is an apocalyptic number.

1421935160040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1421935160040 is an abundant number, since it is smaller than the sum of its proper divisors (3201128451360).

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

1421935160040 is a wasteful number, since it uses less digits than its factorization.

1421935160040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516547 (or 1516540 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1421935160040 in words is "one trillion, four hundred twenty-one billion, nine hundred thirty-five million, one hundred sixty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2609 5218 7827 10436 13045 15654 20872 23481 26090 31308 39135 46962 52180 62616 78270 93924 104360 117405 156540 187848 234810 313080 469620 939240 1513921 3027842 4541763 6055684 7569605 9083526 12111368 13625289 15139210 18167052 22708815 27250578 30278420 36334104 45417630 54501156 60556840 68126445 90835260 109002312 136252890 181670520 272505780 545011560 3949819889 7899639778 11849459667 15799279556 19749099445 23698919334 31598559112 35548379001 39498198890 47397838668 59247298335 71096758002 78996397780 94795677336 118494596670 142193516004 157992795560 177741895005 236989193340 284387032008 355483790010 473978386680 710967580020 1421935160040