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1417628520714 = 237195359568109
BaseRepresentation
bin10100101000010001001…
…111101001000100001010
312000112010222011102201110
4110220101033221010022
5141211300400130324
63003125523031150
7204264104415120
oct24502117510412
95015128142643
101417628520714
114a723838487a
121aa8b4b0b4b6
13a38b2ba0713
144c883977910
1526d20ada329
hex14a113e910a

1417628520714 has 128 divisors (see below), whose sum is σ = 3534098688000. Its totient is φ = 370097365248.

The previous prime is 1417628520689. The next prime is 1417628520751. The reversal of 1417628520714 is 4170258267141.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2211292 + ... + 2779400.

It is an arithmetic number, because the mean of its divisors is an integer number (27610146000).

Almost surely, 21417628520714 is an apocalyptic number.

1417628520714 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1417628520714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767049344000).

1417628520714 is an abundant number, since it is smaller than the sum of its proper divisors (2116470167286).

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

1417628520714 is a wasteful number, since it uses less digits than its factorization.

1417628520714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568252.

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 1417628520714 in words is "one trillion, four hundred seventeen billion, six hundred twenty-eight million, five hundred twenty thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 53 57 59 106 114 118 133 159 177 266 318 354 371 399 413 742 798 826 1007 1113 1121 1239 2014 2226 2242 2478 3021 3127 3363 6042 6254 6726 7049 7847 9381 14098 15694 18762 21147 21889 23541 42294 43778 47082 59413 65667 118826 131334 178239 356478 415891 568109 831782 1136218 1247673 1704327 2495346 3408654 3976763 7953526 10794071 11930289 21588142 23860578 30109777 32382213 33518431 60219554 64764426 67036862 75558497 90329331 100555293 151116994 180658662 201110586 210768439 226675491 234629017 421536878 453350982 469258034 572085763 632305317 636850189 703887051 1144171526 1264610634 1273700378 1407774102 1716257289 1776476843 1910550567 3432514578 3552953686 3821101134 4004600341 4457951323 5329430529 8009200682 8915902646 10658861058 12013801023 12435337901 13373853969 24027602046 24870675802 26747707938 33753060017 37306013703 67506120034 74612027406 101259180051 202518360102 236271420119 472542840238 708814260357 1417628520714