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2141034403140 = 22325971091125001
BaseRepresentation
bin11111001001111111100…
…110000101010101000100
321120200101100221212001200
4133021333212011111010
5240034314301400030
64315324433422500
7310453554102663
oct37117746052504
97520340855050
102141034403140
1175600a116356
122a6b4410aa30
13126b8b51a719
14758ab622dda
153aa5e928d60
hex1f27f985544

2141034403140 has 144 divisors (see below), whose sum is σ = 6621626771760. Its totient is φ = 559872000000.

The previous prime is 2141034403097. The next prime is 2141034403141. The reversal of 2141034403140 is 413044301412.

2141034403140 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 0 + 344 + 0 + 314 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3724905024 + 2137309498116 = 61032^2 + 1461954^2 .

It is not an unprimeable number, because it can be changed into a prime (2141034403141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1340640 + ... + 2465640.

Almost surely, 22141034403140 is an apocalyptic number.

2141034403140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141034403140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310813385880).

2141034403140 is an abundant number, since it is smaller than the sum of its proper divisors (4480592368620).

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

2141034403140 is a wasteful number, since it uses less digits than its factorization.

2141034403140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125222 (or 1125217 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2141034403140 its reverse (413044301412), we get a palindrome (2554078704552).

The spelling of 2141034403140 in words is "two trillion, one hundred forty-one billion, thirty-four million, four hundred three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 109 180 194 218 291 327 388 436 485 545 582 654 873 970 981 1090 1164 1308 1455 1635 1746 1940 1962 2180 2910 3270 3492 3924 4365 4905 5820 6540 8730 9810 10573 17460 19620 21146 31719 42292 52865 63438 95157 105730 126876 158595 190314 211460 317190 380628 475785 634380 951570 1125001 1903140 2250002 3375003 4500004 5625005 6750006 10125009 11250010 13500012 16875015 20250018 22500020 33750030 40500036 50625045 67500060 101250090 109125097 122625109 202500180 218250194 245250218 327375291 367875327 436500388 490500436 545625485 613125545 654750582 735750654 982125873 1091250970 1103625981 1226251090 1309501164 1471501308 1636876455 1839376635 1964251746 2182501940 2207251962 2452502180 3273752910 3678753270 3928503492 4414503924 4910629365 5518129905 6547505820 7357506540 9821258730 11036259810 11894635573 19642517460 22072519620 23789271146 35683906719 47578542292 59473177865 71367813438 107051720157 118946355730 142735626876 178419533595 214103440314 237892711460 356839067190 428206880628 535258600785 713678134380 1070517201570 2141034403140