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12140404110432 = 2532134916604133
BaseRepresentation
bin1011000010101010100001…
…1110010111010001100000
31120222121111122011220211200
42300222220132113101200
53042402021423013212
641453120305241200
72362054350163233
oct260525036272140
946877448156750
1012140404110432
113960797691104
121440a84933200
136a0ab1c02080
142dd854b6141a
15160bee3686dc
hexb0aa8797460

12140404110432 has 144 divisors (see below), whose sum is σ = 37255716218448. Its totient is φ = 3727900431360.

The previous prime is 12140404110427. The next prime is 12140404110473. The reversal of 12140404110432 is 23401140404121.

12140404110432 is a `hidden beast` number, since 1 + 2 + 140 + 40 + 41 + 10 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 12140404110396 and 12140404110405.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 1463763 + ... + 5140370.

It is an arithmetic number, because the mean of its divisors is an integer number (258720251517).

Almost surely, 212140404110432 is an apocalyptic number.

12140404110432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12140404110432 is an abundant number, since it is smaller than the sum of its proper divisors (25115312108016).

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

12140404110432 is a wasteful number, since it uses less digits than its factorization.

12140404110432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6604653 (or 6604642 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 12140404110432 its reverse (23401140404121), we get a palindrome (35541544514553).

The spelling of 12140404110432 in words is "twelve trillion, one hundred forty billion, four hundred four million, one hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 491 624 936 982 1248 1473 1872 1964 2946 3744 3928 4419 5892 6383 7856 8838 11784 12766 15712 17676 19149 23568 25532 35352 38298 47136 51064 57447 70704 76596 102128 114894 141408 153192 204256 229788 306384 459576 612768 919152 1838304 6604133 13208266 19812399 26416532 39624798 52833064 59437197 79249596 85853729 105666128 118874394 158499192 171707458 211332256 237748788 257561187 316998384 343414916 475497576 515122374 633996768 686829832 772683561 950995152 1030244748 1373659664 1545367122 1901990304 2060489496 2747319328 3090734244 3242629303 4120978992 6181468488 6485258606 8241957984 9727887909 12362936976 12970517212 19455775818 24725873952 25941034424 29183663727 38911551636 42154180939 51882068848 58367327454 77823103272 84308361878 103764137696 116734654908 126462542817 155646206544 168616723756 233469309816 252925085634 311292413088 337233447512 379387628451 466938619632 505850171268 674466895024 758775256902 933877239264 1011700342536 1348933790048 1517550513804 2023400685072 3035101027608 4046801370144 6070202055216 12140404110432