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12140354332464 = 2432920834186999
BaseRepresentation
bin1011000010101010010110…
…0000011110011100110000
31120222121101011111221022020
42300222211200132130300
53042401421202114324
641453111330311440
72362053204112041
oct260524540363460
946877334457266
1012140354332464
113960771582196
121440a70128580
136a0aa47c3a57
142dd84c2c48c8
15160be9cd4679
hexb0aa581e730

12140354332464 has 80 divisors (see below), whose sum is σ = 32459633760000. Its totient is φ = 3905363766528.

The previous prime is 12140354332459. The next prime is 12140354332487. The reversal of 12140354332464 is 46423345304121.

It is a super-2 number, since 2×121403543324642 (a number of 27 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 806037 + ... + 4993035.

It is an arithmetic number, because the mean of its divisors is an integer number (405745422000).

Almost surely, 212140354332464 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 12140354332464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16229816880000).

12140354332464 is an abundant number, since it is smaller than the sum of its proper divisors (20319279427536).

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

12140354332464 is a wasteful number, since it uses less digits than its factorization.

12140354332464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4189122 (or 4189116 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

Adding to 12140354332464 its reverse (46423345304121), we get a palindrome (58563699636585).

The spelling of 12140354332464 in words is "twelve trillion, one hundred forty billion, three hundred fifty-four million, three hundred thirty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 2083 4166 6249 8332 12498 16664 24996 33328 49992 60407 99984 120814 181221 241628 362442 483256 724884 966512 1449768 2899536 4186999 8373998 12560997 16747996 25121994 33495992 50243988 66991984 100487976 121422971 200975952 242845942 364268913 485691884 728537826 971383768 1457075652 1942767536 2914151304 5828302608 8721518917 17443037834 26164556751 34886075668 52329113502 69772151336 104658227004 139544302672 209316454008 252924048593 418632908016 505848097186 758772145779 1011696194372 1517544291558 2023392388744 3035088583116 4046784777488 6070177166232 12140354332464