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1134143003240 = 2351343107474037
BaseRepresentation
bin10000100000010000001…
…100001101101001101000
311000102102101011001010022
4100200100030031221220
5122040211102100430
62225003524340012
7144640056316022
oct20402014155150
94012371131108
101134143003240
113a7a95181745
1216397a244608
1382c455b1080
143cc6dc4d012
151e77d19b4e5
hex1081030da68

1134143003240 has 128 divisors (see below), whose sum is σ = 2838312005760. Its totient is φ = 405198388224.

The previous prime is 1134143003143. The next prime is 1134143003251. The reversal of 1134143003240 is 423003414311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2155502 + ... + 2629538.

It is an arithmetic number, because the mean of its divisors is an integer number (22174312545).

Almost surely, 21134143003240 is an apocalyptic number.

1134143003240 is a gapful number since it is divisible by the number (10) 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 1134143003240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419156002880).

1134143003240 is an abundant number, since it is smaller than the sum of its proper divisors (1704169002520).

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

1134143003240 is a wasteful number, since it uses less digits than its factorization.

1134143003240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474211 (or 474207 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 1134143003240 its reverse (423003414311), we get a palindrome (1557146417551).

The spelling of 1134143003240 in words is "one trillion, one hundred thirty-four billion, one hundred forty-three million, three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 43 52 65 86 104 107 130 172 214 215 260 344 428 430 520 535 559 856 860 1070 1118 1391 1720 2140 2236 2782 2795 4280 4472 4601 5564 5590 6955 9202 11128 11180 13910 18404 22360 23005 27820 36808 46010 55640 59813 92020 119626 184040 239252 299065 474037 478504 598130 948074 1196260 1896148 2370185 2392520 3792296 4740370 6162481 9480740 12324962 18961480 20383591 24649924 30812405 40767182 49299848 50721959 61624810 81534364 101443918 101917955 123249620 163068728 202887836 203835910 246499240 253609795 264986683 405775672 407671820 507219590 529973366 659385467 815343640 1014439180 1059946732 1318770934 1324933415 2028878360 2119893464 2181044237 2637541868 2649866830 3296927335 4362088474 5275083736 5299733660 6593854670 8724176948 10599467320 10905221185 13187709340 17448353896 21810442370 26375418680 28353575081 43620884740 56707150162 87241769480 113414300324 141767875405 226828600648 283535750810 567071501620 1134143003240