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12141314150640 = 243597521534113
BaseRepresentation
bin1011000010101101111010…
…1101111001000011110000
31120222200212001120202022120
42300223132231321003300
53042410402410310030
641453350454434240
72362116040326543
oct260533655710360
946880761522276
1012141314150640
113961114350854
121441099662980
136a0bc86026bc
142dd8dd97285a
15160c541ca010
hexb0adeb790f0

12141314150640 has 80 divisors (see below), whose sum is σ = 38026095319968. Its totient is φ = 3204305584128.

The previous prime is 12141314150639. The next prime is 12141314150681. The reversal of 12141314150640 is 4605141314121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×121413141506402 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260743777 + ... + 260790336.

Almost surely, 212141314150640 is an apocalyptic number.

12141314150640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12141314150640 is an abundant number, since it is smaller than the sum of its proper divisors (25884781169328).

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

12141314150640 is a wasteful number, since it uses less digits than its factorization.

12141314150640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521534226 (or 521534220 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

Adding to 12141314150640 its reverse (4605141314121), we get a palindrome (16746455464761).

The spelling of 12141314150640 in words is "twelve trillion, one hundred forty-one billion, three hundred fourteen million, one hundred fifty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 97 120 194 240 291 388 485 582 776 970 1164 1455 1552 1940 2328 2910 3880 4656 5820 7760 11640 23280 521534113 1043068226 1564602339 2086136452 2607670565 3129204678 4172272904 5215341130 6258409356 7823011695 8344545808 10430682260 12516818712 15646023390 20861364520 25033637424 31292046780 41722729040 50588808961 62584093560 101177617922 125168187120 151766426883 202355235844 252944044805 303532853766 404710471688 505888089610 607065707532 758832134415 809420943376 1011776179220 1214131415064 1517664268830 2023552358440 2428262830128 3035328537660 4047104716880 6070657075320 12141314150640