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1411140770010 = 2325371453291649
BaseRepresentation
bin10100100010001110100…
…010110101100011011010
311222220101211022112212100
4110202032202311203122
5141110004014120020
63000134044024230
7203644245431046
oct24421642654332
94886354275770
101411140770010
114a45091a3734
121a95a4232076
13a30baa4b18a
144c42a081026
1526a91258a90
hex1488e8b58da

1411140770010 has 96 divisors (see below), whose sum is σ = 3770733517200. Its totient is φ = 365880582144.

The previous prime is 1411140769993. The next prime is 1411140770033. The reversal of 1411140770010 is 100770411141.

It can be written as a sum of positive squares in 8 ways, for example, as 1405213463889 + 5927306121 = 1185417^2 + 76989^2 .

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 4692666 + ... + 4984314.

Almost surely, 21411140770010 is an apocalyptic number.

1411140770010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1411140770010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885366758600).

1411140770010 is an abundant number, since it is smaller than the sum of its proper divisors (2359592747190).

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

1411140770010 is a wasteful number, since it uses less digits than its factorization.

1411140770010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293152 (or 293149 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 27.

The spelling of 1411140770010 in words is "one trillion, four hundred eleven billion, one hundred forty million, seven hundred seventy thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1453 1665 2906 3330 4359 7265 8718 13077 14530 21795 26154 43590 53761 65385 107522 130770 161283 268805 291649 322566 483849 537610 583298 806415 874947 967698 1458245 1612830 1749894 2419245 2624841 2916490 4374735 4838490 5249682 8749470 10791013 13124205 21582026 26248410 32373039 53955065 64746078 97119117 107910130 161865195 194238234 323730390 423765997 485595585 847531994 971191170 1271297991 2118829985 2542595982 3813893973 4237659970 6356489955 7627787946 12712979910 15679341889 19069469865 31358683778 38138939730 47038025667 78396709445 94076051334 141114077001 156793418890 235190128335 282228154002 470380256670 705570385005 1411140770010