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1420476513156 = 223473113531481
BaseRepresentation
bin10100101010111010111…
…111110111101110000100
312000210111110011102220000
4110222322333313232010
5141233113441410111
63004320301241300
7204424506100101
oct24527277675604
95023443142800
101420476513156
114a8469a61738
121ab36a863230
13a3c47c3234c
144ca73cd1aa8
1526e3ab54c56
hex14abaff7b84

1420476513156 has 120 divisors (see below), whose sum is σ = 3797594082744. Its totient is φ = 462872309760.

The previous prime is 1420476513149. The next prime is 1420476513161. The reversal of 1420476513156 is 6513156740241.

It is a happy number.

1420476513156 is a `hidden beast` number, since 1 + 4 + 20 + 476 + 5 + 1 + 3 + 156 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 117111790656 + 1303364722500 = 342216^2 + 1141650^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2406936 + ... + 2938416.

Almost surely, 21420476513156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1420476513156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898797041372).

1420476513156 is an abundant number, since it is smaller than the sum of its proper divisors (2377117569588).

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

1420476513156 is a wasteful number, since it uses less digits than its factorization.

1420476513156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531683 (or 531672 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 1420476513156 in words is "one trillion, four hundred twenty billion, four hundred seventy-six million, five hundred thirteen thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 108 113 146 162 219 226 292 324 339 438 452 657 678 876 1017 1314 1356 1971 2034 2628 3051 3942 4068 5913 6102 7884 8249 9153 11826 12204 16498 18306 23652 24747 32996 36612 49494 74241 98988 148482 222723 296964 445446 531481 668169 890892 1062962 1336338 1594443 2125924 2672676 3188886 4783329 6377772 9566658 14349987 19133316 28699974 38798113 43049961 57399948 60057353 77596226 86099922 116394339 120114706 155192452 172199844 180172059 232788678 240229412 349183017 360344118 465577356 540516177 698366034 720688236 1047549051 1081032354 1396732068 1621548531 2095098102 2162064708 3142647153 3243097062 4190196204 4384186769 4864645593 6285294306 6486194124 8768373538 9729291186 12570588612 13152560307 17536747076 19458582372 26305120614 39457680921 52610241228 78915361842 118373042763 157830723684 236746085526 355119128289 473492171052 710238256578 1420476513156